(*** ELECTRONIC CIRCUIT DEVICES AVIONICS TECHNICIAN TRAINING COURSE Digitized by the Internet Archive in 2012 http://archive.org/details/electroniccircuiOOfran ORDER NO. ELECTRONIC CIRCUIT DEVICES AN AVIATION MAINTENANCE PUBLISHERS, TRAINING MANUAL By Frank Harris : I 'V k J A P, Inc. P.a Box 36* 1000 College View Drive Riverton, Wyoming 85201-0036 Tel: (BOO) 443-9250 • (307) 856-1582 INC. EA-192-1 International Standard Book Number 0-89100-192-1 Aviation Maintenance Publishers. Inc. View Dr.. Riverton. WY 82501 P.O. Box 36. 1000 College Copyright 1983 by Frank Harris All Rights Reserved Printed in the United States ot America Table of Contents Introduction ix ELECTRONIC CIRCUIT DEVICES I. II. 1 Basic Electronic Theory 1 A. Atoms, Crystals, and Energy States 1 B. Conductivity 2 C. Insulators 3 D. Semiconductors 3 E. Controlled Introduction of Electrons and Holes 5 F. Conduction by Holes 6 G. Conduction by Doped Semi-conductors 8 H. Thermistors 8 I. Photoconductors and Photo Resistors 8 J. Electron Conduction in Vacuum Tubes Diodes 9 13 A. Diodes 13 B. Ideal Diodes 13 C. Vacuum Tube Diodes 14 D. Semiconductor 15 E. Diode Applications 19 F. Filtering Rectifier G. Diode Clippers 23 H. Diode Peak Detector Circuits 23 Output 21 i III. I. DC J. Diode Switch 25 K. Diode Detector 26 L. Diode Frequency Converters 27 to DC Voltage Inverter Special Purpose Diodes Diodes 33 33 A. Stabistor B. Silicon Solar Cells 34 C. Light Emitting Diodes 35 D. High Voltage Diodes 36 E. Zener Diodes 37 F. Varactor and Step Recovery Diodes 38 G. Pin Diodes 42 H. Schottky or HCD Diodes 43 I. The Tunnel Diode 44 J. Tunnel Diode Oscillators 46 K. Tunnel Diode Amplifiers 49 L. Tunnel Rectifiers 50 M. Gunn Diodes IV. 24 Transistors and Other Electronic Control Devices 50 53 A. The B. The Basic Transistor Amplifier C. The D. Vacuum Tubes 60 E. The Transistor 62 Ideal Control Device Ideal Transistor Volt- Ampere Characteristic 53 59 60 V. F. Bipolar Transistors 63 G. How to Turn Off a Transistor 63 H. How to Turn On a Transistor 64 I. Why Transistors 66 J. Transistor Input Characteristic 68 K. Limitations in Transistor Performance 69 L. Transistor Fabrication 70 M. Testing Transistors 71 AC Power Control Devices 75 A. Controlling Alternating Current 75 B. The Thyratron 76 C. Thyristors 77 D. The P-N-P-N Diode 77 E. Inert F. Silicon Controlled Rectifiers G. Controlling the H. Controlling Full I. VI. Have Gain Gas Lights and Voltage Regulators DIACS and 79 80 SCR 81 Wave AC Power 85 TRIACS 85 89 Field Effect Transistors A. Introduction B. Junction Field Effect Transistors 90 C. Field Effect Current Regulator Diodes 92 D. The Metal-Oxide-Semi-conductor E. MOSFET • Symbols FET (MOSFET) 89 92 95 m F. NMOS G. Complementary H. Dual Gate I. VII. VMOS and PMOS 96 MOSFETs (CMOS) 97 MOSFETs 98 Power Transistors 99 J. How K. Storing Loose L. Installing M. Built-in to Protect MOS Transistors MOSFET and Integrated Circuits Devices MOSFETs in Circuits MOSFET 99 100 100 101 Protection Transistor Amplifiers 103 A. Amplifiers 103 B. Impedance Matching 103 C. Basic Transistor Amplifiers 105 D. The Emitter Follower (Common E. The Common Base Amplifier 108 F. Direct Coupled Transistor Amplifiers 109 G. Basic Field Effect Transistor Amplifiers 110 H. Alphabet Classification 110 Collector Amplifier) of Amplifiers 107 I. Linearity and Distortion Ill J. Class A Amplifiers 112 K. Class B Amplifiers 113 L. Class C Amplifiers 115 M. Class AB 120 N. Class D Amplifiers 120 O. Class E Amplifiers 120 P. Biasing Transistor Amplifiers Amplifiers . . iv 121 VIII. IX. Biasing Class R. Static and Dynamic Amplifier Characteristics Sine Wave Oscillators Amplifiers 123 125 129 A. Introduction 129 B. The Phase 130 C. Resonant Circuit Oscillators 132 D. Colpitts and Hartley Oscilators 133 E. Crystal Oscillators 135 F. The Armstrong 137 G. The Regenerative Detector Square Wave Shift Oscillator Oscillator Generators and Bistable Circuits 138 141 A. Introduction 141 B. The Multivibrator 142 C. Uses 145 D. Bistable Flip-flops as Memories 147 E. Astable Multivibrators 148 F. Synchronized Multivibrators 149 G. Monostable Multivibrators 150 H. Schmitt Triggers, Zero Crossing Detectors, and Comparators 151 Unijunction Transistor Oscillators 154 Integrated Timing Circuits 155 I. J. X. A Q. for the Bistable Flip-flop Operational Amplifiers 161 A. Introduction 161 B. The Op-Amp-The Ideal Amplifier 161 C. Differential Amplifiers 161 D. Inverting and Non-inverting Inputs 163 E. Operational Amplifier Design 163 F. The Comparator 165 G. The Voltage Follower 166 H. Precision Diode 168 Operational Amplifiers with Controlled Voltage Gain 169 J. Balancing Operational Amplifiers 171 K. A 172 L. Single Power Supply Amplifiers 173 M. Op-Amp Output Impedance 173 I. XI. Applications for Operational Amplifiers 177 A. Introduction 177 B. Operational Amplifiers as Differential Amplifiers 177 C. Summing 177 D. Active Frequency Filters 178 E. The Logarithmic Amplifier 180 F. Integrators and Differentiators 183 G. Integrator H. The Operational Amplifier Sweep 185 Circuits Differentiator 186 The Voltage-to-Current Converter 189 Power Supplies and Voltage Regulators 193 I. XII. Thermocouple Amplifier A. Introduction 193 B. Power Supply Design Goals 193 VI C. Parallel Voltage Regulators 194 D. The 196 E. Current Limiter Circuits 197 F. Three Terminal Integrated Voltage Regulators 199 G. Energy Gap Voltage Standards 201 H. Varistors 202 Switching Power Supplies 202 I. Series Voltage Regulator Power Supplies and the Phate J. Isolated K. Constant AC Voltage Transformer Final to 211 233 Study Questions 255 Examination Answers 208 217 Glossary Answers Isolator to the Final Exam 261 vn INTRODUCTION voltages and currents with tiny voltages and cur- measures 1/4" by 3/4" and 90% of its bulk is taken up with the 14 pins that enable it to be plugged into a socket. What used to be a large module in a costly machine is now a component available for less money than a single resistor rents. cost 25 years ago. Electronics really began with the invention of vacuum tube in 1906 by Lee Deforest. vacuum tube was important because, first time it was possible to control big the triode The triode for the As a result, circuit designers today use operational amplifiers in their designs as casually as resistors were used twenty years Unlike an electromechanical relay, it could do without moving parts and at very high speeds. By controlling voltages and currents we mean turning them "on'" or "off," or sometimes just partly "on." The vacuum tube and the transistor are comparable devices and can be thought ago. this The most example of this trend is Microcomputers are available now on a single chip for about S5. Although everyone is familiar with TV games and home computers which are based on the microcomstartling the microcomputer. of as electrically controlled electricity faucets. what is not generally known is that they can be programmed to perform almost any elecputer, Twenty years ago a book written on elec- tronic devices would have been limited to a discussion of discrete electronic components such as diodes, transistors, and vacuum tubes. Since that time, the integrated circuit has made tronic function. They are, in essence, the ultimate Unfortunately they complex to be covered in this text. electronic device. are too it possible to compress complex circuits and even Electronic devices are a wide, complex field, and you aren't going to learn it all here. In fact, if you spend the rest of your life studying electronics, you will still be ignorant about some entire instruments into a single silicon chip. Sud- denly pieces of equipment, such as operational amplifiers, frequency counters, memory banks, and even entire computers have become single devices that can be plugged into a circuit much aspects of the field. the beginner, but like a transistor or diode. old hand. You will This it is is very discouraging for also the salvation for the never run out of things to learn and challenge you. For example, in 1954 an operational amplifier was a module found only in analog computers. Physically it was a metal chassis about the size of a cereal box which contained half a dozen glowing vacuum tubes and lots of resistors and wires. It was mounted in a huge instrument rack with a large number of similar modules. These ampli- One of the reasons you will never stop learning in electronics is because it is practically impossible to explain anything completely and precisely, therefore, were interconnected with test leads to simulate engineering problems such as the design of suspension systems in automobiles. Each amplifier represented one of the design variables in the system such as a coil spring, the rebound of fiers the tires, and so your understanding will always be incomplete. we make frequent use of running rubber balloons, childrens' swings and other simple analogies. This is enough for the earliest rough approximation, but you should never let yourself believe that electricity always In this book water, on. behaves like the analogy. Many of its more subtle characteristics have no counterparts in the every- Today day world. These crude analogies are just intended to get you started. We often have to go much four operational amplifiers are avail- able in a single integrated circuit which sells for 49c retail. This integrated circuit (IC for short) deeper to reach a useful level of understanding. IX When you reach something you can't under- stand, just get the general idea and take it on Later on, read it again or better yet, read about it in some other book and get a fresh outlook on it. Most abstract ideas can be explained "correctly" in more than one way. Every time you go over a subject you will find that your understanding will improve. faith. Electronic books are generally written on one of two levels. When written for the beginner, they are usually so trivial that they do not give the reader enough depth of knowledge to use the in- formation in practical circuits such as found in avionics equipment. The other level level of writing is the engineering where the high priests have carefully con- cealed the knowledge behind a smokescreen of abstract generalizations and mathematical gibberish. It may that possible to graduate with good grades it is be a surprise for the reader to learn and a degree in electrical engineering and not understand enough about electronics to explain it to anyone. The author was living proof of this statement. Engineers are taught how to calculate answers at breakneck speed in order to pass tests. However, they are rarely taught how anything works or why it is important. It is no wonder that good engineers are such a rarity. This book is an attempt to describe electronic devices on a middle level in which we will explain how each device works and why it is important. SECTION I Basic Electronic Theory It is possible to explain what A good place atom and how its electrons can sometimes be coaxed away to form uum electronic devices do without a detailed explanation of how as found in a TV picture tube. to start is a description of the they do it. In the long run though, it is better to have a qualitative idea of what is going on inside a useful electric current. a device. The devices are usually named with strange words and letters based on their theory Atoms, Crystals and Energy States A. An atom and construction. If you know the vocabulary, you can keep the devices separate in your mind and know how they are used. For example, an "N-channel MOSFET" is a transistor which can be easily damaged if you handle it carelessly. Once you know what initials like "MOSFET" mean, you will know what characteristics to expect from the transistor, how to avoid damaging it, and how it should be wired into a circuit. consists of a tional forces are insignificant. the science of controlling the flow of electrons through solids, such as wires and transistors, and sometimes through a vacElectronics held is HYDROGEN DONATES ONE ELECTRON dense, in orbit by the The attraction electrons are between the negatively charged electrons and the positively charged atomic nucleus. CARBON DONATES OR ACCEPTS FOUR ELECTRONS Fig. 1-1 positively nucleus surrounded by a cloud of negatively charged orbiting electrons. The electrons are sometimes compared to planets orbiting the sun. The force which keeps the planets from leaving the solar system is the gravitational attraction between any two masses. In order for gravity to be significant, at least one of the masses must be huge. So, in the atom, gravita- charged SILICON DONATES OR ACCEPTS FOUR ELECTRONS Diagrams of atoms showing 1 electron shells. Most of the electrons in a typical medium-to- large sized atom are orbiting close to the nucleus and are too tightly bound to leave the atom under ordinary conditions. With very energetic persua- In general, a molecule is stable when each in the molecule has access to 8 electrons in outer shell. When oxygen combines with only atom its such as atoms in the midst of an atomic explosion, even the inner electrons can be removed from the atom. The electrons which are most distant from the nucleus are not held tightly and can be lost to other atoms during a chemical reaction or under the influence of the low voltages used in one hydrogen, the two atoms together have only 7 electrons to share. This substance, called the hydroxyl radical, will react with a great many substances to try to capture an 8th electron. Sodium hydroxide (lye), releases this hydroxyl radical easily. That is why the lye used in toilet bowl cleaner can dissolve the debris out of plumb- electronics. ing. sion, From the analogy of planets orbiting the sun, and from the diagrams in this section, you could easily get the idea that electrons are sedate, quiet objects that park in specified positions where they are associated with other nearby electrons and atoms. In fact, electrons whirl frantically around their atom and cover a spherical shellshaped pathway rather than a simple circular orbit. Moreover, they go so fast that according to physics theory, they are too indistinct and "ghostly" to be certain where one is going at a given instant. In summary, electrons are very esoteric objects and one must be wary of descriptions that make them sound like billiard balls. In number of electrons that can be spite of this, the gained or lost by a given voltage level directly explains many of the chemical and physical properties of each kind of atom. For example, oxygen will share two electrons with two hydrogen atoms to form a stable cluster atoms which make up a single molecule of three water (H2O). When we mean the around that all outer say "shares electrons," electrons three atoms, binding actually them Some atoms, such as neon and argon gases, already have 8 electrons in their outer orbits. These atoms not only react poorly with other kinds of atoms, they don't even associate closely enough with orbit together. own kind to form solids! Flourine has 7 electrons in its outer orbit. flourine reacts with hydrogen, you would When it to form a very stable compound. However, the flourine atom holds onto the hydrogen atom's electron so tightly that it does not share the electron with the hydrogen very well and the molecule is very unstable. The hydrogen atom is easily set free from its own electron and will go off to try to capture a new electron from some other molecule. An atom which has lost or gained electrons is called an ion. Because the hydrogen ion is so easily released from the hydrogen flouride molecule, hydrogen flouride is the most corrosive acid known. expect The number of electrons that an atom is able up or accept is called its valence. For ex- of we their to give ample, the valence of hydrogen is plus 1 because donates an electron easily. The valences of it flourine and oxygen are minus 1 and minus respectively because they accept those 2 numbers of electrons easily. B. + 1 -1 +8 HYDROGEN ATOMS CHARGE IN NUCLEUS CHARGE IN ELECTRON OXYGEN ATOM CHARGE IN NUCLEUS -6 ELECTRONS IN OUTER SHELL Conductivity The property of materials that most concerns us in electronics is conductivity. A material that is a good conductor allows electrons to travel through it, from atom to atom, with little application of force. The "force" is voltage which pushes electrons from atom to atom. Most good conductors A are metals. Metals water molecule is made from one oxygen and two hydrogen atoms. The three atoms generally have just one or two outer electrons that are easily removed. Once the electrons have share their outer shell with eight electrons to make a stable molecule. been removed, they are easily replaced by other traveling electrons. Just inside the orbit of these Fig. 1-2 outer electrons is a filled shell of electrons, which why metals don't mind losing their outer electrons. In many heavy metals this filled shell contains as many as 18 electrons. None the less, explains this shell is filled and these electrons are not matrix of atoms in the conductor. Conduction can't occur unless free electrons and resting places are both present. C. Insulators available for conduction or chemical reactions. Insulators are very poor conductors. 1. Crystalline structure insulators rocks, The structure metals is basically crystalline. Individual atoms in a crystal are stacked together in a uniform pattern, something like a neat pile of bricks. The closeness of the individual metal atoms means that their outer electron orof bits are practically touching. As a result, it takes energy for weakly bound electrons to wander over and orbit around neighboring atoms. are and also crystals. salt are examples. Many Crystalline glass, Some crystalline structures keep the adjacent atoms so close that it requires too much energy for an electron to enter or leave the atom. This should sound backwards to you, but it turns out that when atoms are closest, the crystal is most likely to be an insulator. little Compared to other crystals we will talk about, metal atoms form rather loose, flexible crystals. Many nonmetallic atoms form tight chembonds with others of their own kind when they form a crystal. In these crystals each atom ical has access to 8 electrons in locks each atom its outer shell. This tightly to its neighbors. Metal atoms already have a filled, next-to-outer shell so the metal atoms do not need to share their filled shell with other atoms in order to be stable. Only a few outer electrons are shared in metals and this tenuous linkage between adjacent atoms explains why metal is flexible. When under pressure metals usually bend while glass and other crys- In a good insulator the kinetic energy of a is far higher than one which is resting in an outer orbit. Since so much energy is needed, we can say that there are effectively no traveling electron resting places or free electrons in an insulator. If you put enough voltage across an insulator, eventually it breaks down and conducts. However, there is so much energy expended in jamming electrons into orbits and yanking them out, that the insulator overheats and is destroyed. For example, wood is a good insulator, but when lightning strikes a wooden house and uses it for a conductor, the heat released usually sets the house on D. fire. Semiconductors tals shatter. 2. Kinetic energy The energy of motion (kinetic energy) of a truck doing 90 mph down the interstate is obviously higher than one parked at the truck stop. Similarly, the energy stored in an electron traveling through a conductor should be higher than one which is resting in the outer orbit of some atom. But in a really good conductor, the energy of some of the traveling electrons is no higher some than the energy of This is because it requires so little energy to travel, that the energy of some parked electrons is at the same Semiconductors, logically enough, are halfthe two extremes of good conductors and good insulators. The reason that semiconductors are so important in electronics is their conductivity can be widely altered from good conductor to good insulator just by applying a small voltage, heat, or light. In other words, the ability of semiconductors to change from insulator to conductor makes it possible to control the flow of electrical current with subtle application of small way between level as amounts of energy. of the resting electrons. some of the wandering ones. We can summarize conductors as having two basic ingredients: free electrons which are easily lured away from their atoms, and resting places in the outer electron shells which provide stepping stones for electrons wandering through the 1. Crystals Semiconductors are also crystals. They are made from atoms which have valences of usually four. Each atom shares its four outer electrons with four other atoms in a stable, rigid, crystal. Molecules and crystals are particularly stable and chemically inert when there are 8 electrons in the outer shell of each atom. Because each of the Fig. 1-3 Diagram of a silicon crystal showing how valence electrons are shared with four other atoms. semiconductor atoms has access to 8 electrons, there are no electrons to lose and no unfilled resting places. Pure semiconductor crystals are actually 2. 3. Carbon Carbon is an interesting example of how cryscan change the physical and elec- talline structure good insulators. Impurities Carbon occurs amorphous carbon, such trical properties of a material. in three different forms: as the soot in your chimney; graphite, as in pencil In order for a semiconductor to behave like a conductor it must either be impure or extremely hot. If there are any different kinds of atoms trap- ped in the crystal matrix, these impurities will have different valences and will donate free electrons and resting places and turn the semiconductor into a conductor. In semiconductors these resting places are called holes because each one represents a place where an electron can go, but which is not filled at the moment. Heat energy can also form free electrons and resting places by knocking electrons out of a pure semiconductor crystal structure. When an electron is knocked out, it leaves a cavity or hole for in. some other traveling electron to rest lead; and diamonds. Amorphous carbon Amorphous carbon is a poor conductor compared to most metals, but it is a conductor none the less. The resistors used in electronics are usually made of carbon. When amorphous carbon is compressed under enough heat and pressure, it turns into graphite crystal. Graphite carbon Graphite has its atoms closer together than amorphous carbon and is a semiconductor. It turns out that when heated it conducts electrons too easily be used to make tran- for graphite to sistors. When graphite is compressed under very extreme pressure, the graphite crystal collapses into an extremely dense crystal structure which is the diamond. Diamonds are excellent in- sulators. Silicon and germanium are the two most important semiconductors used in electronics. There are others though, such as gallium arsenide and gallium phosphide, semiconductor molecules which are used in the light emitting diodes (LED's) which make up the glowing red or green numbers E. in calculator Holes which donate both electrons and same semiconductor crystal, the result will be a good conductor. One reason that semiconductors are so special is that these two properties, electrons and holes, can be added separately. When only one of these conduction components is added in small quantities, the resulting crystal is still an insulator. However, the crystal is now very sensitive and can now have the missing component, electrons or holes, induced into it by voltage, heat, or light. This makes the semiconductor an insulator on the verge of becoming a conductor. It is like a valve If impurities holes are introduced into the that can be easily turned on. Diagram of a —5 and +3 Holes Holes can be added by introducing an impurisuch as gallium or indium, which have a valence of plus 3. Since indium has only 3 electrons to share, it will fit into the crystal, but it will not have enough electrons to share with each of its four neighbors. The result is an instability, a hole, that will readily accept an electron to fill the place of the missing eighth electron. ty, 2. Electrons and watch displays. Controlled Introduction of Electrons and Fig. 1-4 1. silicon crystal with introduce extra electrons and Electrons can be added by introducing an impurity like arsenic or phosphorus which have a valence of plus 5. These also fit into the matrix but have an extra electron which is free for conduction. Phosphorus can also have a valence of minus 3. This is another way of saying that phosphorus has 5 electrons in its outer shell. Phosphorus can accept 3 electrons to make a stable eight electrons in its outer shell. Alternatively, it which case plus 5. can share all 5 with other atoms in considered to have a valence of phosphorus is trapped in a silicon it is When semiconductor crystal, four of its 5 electrons are shared with neighboring silicon atoms, making 8 The ninth electron is very easily lost. This ninth electron becomes a conduction electron. electrons in a stable octet. out of place and is phosphorus and indium impurities showing how valences of holes into the crystal and make it a conductor. Doping 3. The process F. adding impurities to semiconductors is called doping. A semiconductor with a large amount of impurity added is said to be of Conduction by Holes We have pictured all conductivity through jumping from resting place to resting place. This is close enough for beginners, but in the big time this idea is refined into two separate kinds of conductivity. The idea is that solids as electrons heavily doped. A semiconductor which has been doped to is said to be a P-type semiconductor. P stands for "positive" because negative electrons are attracted to those holes. This does not mean that the whole semiconductor is positively charg- the atom-to-atom hopping that occurs in semiconductors has two mechanisms of conduction. ed. volves relatively high energy electrons which are in the conduction band. Conduction band electrons are the only kind of conduction mechanism add holes the atom-to-atom hopping that we already described for metals. This conduction in- The A semiconductor that has been doped to add is said to be an N-type semiconductor. N stands for "negative" because the extra electrons are negatively charged and N-type semiconductor has them available for conduction. Again, it does not mean that the whole crystal is negatively charged. A N-type semiconductor which has been plus (N+) type heavily doped is called an semiconductor. And finally, a heavily doped P-type semiconductor is called a P+ type semi- electrons first is that metals have. The second kind of conduction in semiconduc- tors is an atom-to-atom among hopping that only occurs the low energy electrons that are orbiting atoms in semiconductors. This low energy kind of conduction is said to occur in the valence crystal N band. conductor. Valence band conduction if You will have the terms pretty well mastered you can just remember the following: To make this as confusing as possible, valence band conduction is referred to as conduction by holes. You aren't going to believe this, but the accepted way of looking at valence band conduction in semiconductors is that the holes are moving instead of the electrons. P-type stands for positive and has holes. N-type stands for negative and has extra electrons. The upper c floor, the conduction band, is like an expressway. 5 The lower — -SPACE "o As the cars move Fig. 1-5 Conduction in a valence band, — £g 2l floor, the to the right, the is like bumper-to-bumper traffic. xy ^ SPACE space between them, holes, move to the left. semiconductor can be compared to a two level parking garage. 6 Suppose you were in a helicopter hovering over a parking lot just outside the Superbowl. The parking lot has more cars than pavement and the scarce, empty car-sized spaces are quickly filled as cars attempt to maneuver around the lot. As seen from a great distance it could appear that the empty places were moving around the lot instead of the cars. Everytime a car moves into a space it leaves another space behind it which another car quickly moves into. The important thing to notice is that as the cars move in one direction, the spaces seem to move in the opposite 1. Insulators Let's go back and apply this analogy to brought closer and closer, the valence band energy becomes lower and lower, but at the same time, the conduction band energy is becoming higher and higher. Insulators are direction. The parking lot analogy to conduction in semiconductors has been expanded by Shockley, Bardeen and Brattain — the inventors of the bipolar transistor. He pictured the two energy states as being like two floors in a parking garage. The upper floor is virtually empty and represents the conduction energy band. Cars can drive around unimpeded up there because there are so few of them. This is the only state there is in a metal conductor because the conduction energy band and the va-lence energy band overlap and there is little difference between them. For a pure semiconductor Shockley pictures the lower floor of the parking garage as being completely filled with cars so that none of them can move and none of them can go upstairs where they could travel about freely. By adding a quantity of energy one car can be from the lower floor up to the upper floor where it is free to go anywhere its driver wants. In the process of raising one car from the lower floor, a parking space is created on the lower floor. Once a space has been made, the cars can move around down there from space to space. in- As atoms are jammed closer and closer together, we said that the crystal is more and more likely to be an insulator. As the atoms are sulators. much like the situation we have been describing for pure semiconductors. The bottom floor of the garage is packed with cars so there can be no valence band conduction. The upper floor representing the conduction band is totally empty so there can be no conduction up there either. The difference between pure semiconductors and insulators is that insulators have the upper floor thousands of feet above the lower floor. It takes huge energies (huge voltages) to lift cars up there (electrons) to get conduction started. In contrast, the parking garage analogy for semiconductors would have the upper floor the minimum distance above the cars on the lower floor. Since raising a car a few feet requires less energy (small voltages), conduction is easily started in semiconductors. 2. Hole lifted In the semiconductor literature the word hole reserved for valence band resting places in semiconductors. It seems to the author that this subject would be less confusing if the world would acknowledge that the conduction in both is bands The lesson in semiconductors is that when energy is applied to a semiconductor and it begins to conduct, electrons have been lifted from the valence band up to the conduction band. The current carriers, which are conduction band electrons and valence band holes, are generated in pairs. Moreover, the conduction can be thought of as occuring in two ways. In the conduction band the electrons whizz along as if in a metal. In the valence band the movement is just as rapid but the electrons move from hole to hole as if they were in bumper to bumper traffic. is basically electrons hopping from resting place to resting place. In metals or N+ type semiconductor, extra electrons are left out of the outer octet of orbiting electrons. Therefore they are very easily lured away from None their home atom. the less, any valence electron is atcm which has lost its positively charged and there- wandering conducband electrons use positively charged metal atoms as stepping stones, doesn't this make the charged atoms a kind of hole too? fore attracts electrons. Since tion Conduction G. in because the conduction band becomes crowded as the heat energy pushes more and more electrons Doped Semiconductors Doping adds holes or extra electrons to semiconductors and conductivity becomes very much easier. When holes are added they allow conduction in the valence band. That is, holes allow the bumper-to-bumper kind of conduction. When extra electrons are added, they allow conduction in the conduction band because the ninth electrons are not welcome in the filled shell of eight electrons and they need very little extra energy to leave their atoms and enter the conduction band. To keep the crystal from becoming highly amount of impurity added to a pure semiconductor is usually miniscule. 1 atom of impurity in 10 million atoms of semiconductor crystal is plenty. Otherwise the N-type or P-type semiconductor would conduct all the time and there would be no way to turn them off. conductive, the into it. However, semiconductors usually decrease by 6 or 8% for every degree of temperature rise. This happens because at low temperatures there are very few electrons in the conduction band, but as the temperature rises, the heat energy knocks loose hole-electron pairs and in that way increases conductivity. their resistance It turns out that germanium and silicon semiconductors are too hard to build with identical temperature characteristics because it is hard to control the exact concentration of impurities. Thermistors are usually made from sintered nickel, manganese and cobalt oxides which are easier to make consistent. A heavily doped semiconductor can have a positive temperature coefficient like a metal but it Majority and minority carrier is much more temperature sensitive. These temperature sensors are called sensistors and in- crease their resistance with temperature. In holes P-type a the are semiconductor, primary means valance of band conduction. /. Photoconductors and Photoresistors Therefore, in P-type, holes are the majority carrier. Even in a P-type semiconductor, some free electrons enter the conduction band. Therefore, in a P-type semiconductor, electrons are the minority carrier. Heat energy introduced into a semiconductor knocks loose hole-electron pairs and in that way increases conductivity. Semiconductors respond to any form of energy that has the end effect of heating the crystal matrix. This includes visible light and has led to a variety of photoconductors and photoresistors. The opposite observations can be made N-type for a In N-type, conductor band electrons are the majority carrier while holes are the minority carrier. semiconductor. Semiconductor Thermistors H. One of the difficulties in using semiconduc- dramatic change in conductivity with temperature. Like most problems encountered with materials, this one can be turned into an advantage. Semiconductor thermistors are designed tors to is their measure temperature. All conductors change their resistance a amount with temperature. Most metals increase their resistance a small amount for each small degree centigrade of temperature rise. This is Fig. 1-6 Typical cadmium sulfide photoresistor Cadmium sulfide cells Most vacuum tubes resemble an ordinary They have a glass or metal envelope that keeps the air out of the vacuum. The heat is light bulb. The most common variety is the cadmium used in camera light meters and door openers. The cadmium sulfide crystal is deposited sulfide cell and has impurities in a thin layer of silver, in- dium, or antimony. provided by a hot filament just like a light bulb. In some tubes the filament itself serves as the cathode, but in most tubes the filament is surrounded by a separate cathode which is made from a material which It is the its color most popular photoresistor because spectrum sensitivity the eye. In the dark it is similar to that of has a resistance of as much as 2 megaohms, but in full sunlight, its resistance drops to as little as 10 ohms. A lead sulfide cell is similar but is more sensitive to infrared radiation and is not as widely used. J. Electron Conduction in Vacuum Tubes We said in the beginning that electrons can also flow across a vacuum as well as through solids like conductors and semiconductors. For most applications vacuum tubes have become obsolete as better and cheaper semiconductor replacements for them have been invented. How- through a vacuum is vital to TV picture tubes, TV camera tubes, and a variety of ever, conduction other useful tubes. Cathode ray tube The basic tubes is principle behind most vacuum that a very hot object placed in a will give off electrons directly into the vacuum vacuum. When discussing semiconductors we talked about how high temperatures can elevate electrons from their orbits around atoms and put them in the conduction band. If you raise the temperature of a conductor far enough, and if the conductor happens to be in a vacuum, then the valence electrons can be driven clear out of the metal. A vacuum means that the hot object, which is surrounded by nothing. This nothing to prevent the electrons called a cathode, is means there is from leaving the surface of the metal. If the hot object were surrounded by air, air is a nonconductor and would not let them leave unless they were exceedingly energetic. The sun is a gigantic example of such a hot, huge clouds of elec- electron emitter. It throws off trons every second which make their way out through the vacuum of space as the solar wind. emitting electrons when is particularly good at heated. The TV picture tube, a variety of cathode ray tube (CRT), is a good example of a vacuum tube that is not yet obsolete. Anodes In addition to a glass envelope and a hot cathode, a cathode ray tube has several metal plates called anodes which have positive voltages on them. The positive voltage attracts the negatively charged electrons away from the cathode and accelerates them toward the viewing screen. This assembly is called an electron gun and shoots a stream of electrons at the viewing screen where they are seen as a lighted spot. The positive voltage on the anodes attracts them away from the cathode. Since there is no air to stop them, they readily stream across the void to reach the positive metal anodes. Most of the electrons streaming toward the first metal anode strike it and are wasted. However, a small hole in the center of the anode allows a tiny beam to pass on toward the screen. In some designs, like Fig. third anode focus the electron pelling it 1-7, a second and beam by first re- toward the center of the cylinder with a slightly negative voltage, then accelerating again with a high, positive voltage. it In some tubes the electrons are focused by magnets mounted on the neck of the tube. Finally, the electron beam is shot out into the large bell-shaped end of the picture tube. In most designs the inside of the bell shaped is painted with a conductive coating which serves as the final accelerating anode. In a large picture tube this last anode can have as much as 30,000 volts DC on it. The electrons slam into the end screen of the tube which is coated with a powdery phosphor which converts the energy of the electrons into visible light. HORIZONTAL DEFLECTION PLATES VERTICAL DEFLECTION PLATES + 10T FILAMENT HEATS CATHODE ACCELERATING ANODES (HIGH + VOLTAGE) -FOCUSING ELECTRODE (SLIGHTLY NEGATIVE) Fig. 1-7 Color Cathode ray tube TV while the outer shell has only one electron. What physical and electrical properties would you expect lithium to have? Color TV tubes have three separate kinds of phosphor arranged in a pattern of colored dots. A grid behind the screen selects which of the three dots produces light to produce the correct color combinations. Some designs have three separate electron guns, one for each color. not only the planet where Superit is the name of an element found on planet Earth. Krypton has four electron shells. Listing them from the innermost shell to the outermost shell, these shells contain 2, 8, 18 and 8 electrons respec- Krypton In order to "paint"' a picture, the beam of is swept back and forth in an orderly pattern to cover the whole screen. In large CRT's the electron beam is steered by magnetic deflecelectrons tion using coils CRT's the small anodes which are shown tively. TV the scanning pattern What does conductor? this tell you about the Why or why not? In a semiconductor or insulator, what is the difference between electrons in the valence is band and electrons rectangular while in radar sets the scanning pattern is usually radial. in the conduction band? In many ways pure semiconductor crystals and insulator crystals are alike. What is the essential difference between them that ac- QUESTIONS 1. born, chemical and physical properties of krypton? Do you think krypton might be a semi- mounted outside the tube. In electron beam is steered by at the end of the electron gun as in Fig. 1-7. In is man was Describe the structure of a typical atom. counts for their different electrical be- havior? 2. In all known elements, is filled when the innermost elec- Name two ways that holes and conduction band electrons can be introduced into a has only two elecan element with only three electrons. The inner shell has two electrons tron shell trons. Lithium it is semiconductor. 10 7. The resistance of a thermistor varies with temperature. A piece of metal resistance with temperature. 10. What is so dif- ferent about thermistors? 8. Why Because a cold electrode does not release vacuum while a hot one does, what relationship would you expect between the resistance of the vacuum tube (from cathode to anode) and the temperature electrons into a also varies its are semiconductors so useful in elec- of the cathode? amorphous carbon are poor conductors and poor insulators. Why can't amorphous carbon be used in place of semiconductor materials? tronics? Other substances like 9. 11. When a positive voltage is applied to the anode of a vacuum tube and a negative voltage is placed on the cathode, a current of electrons streams across the vacuum. What do you suppose happens when the positive voltage is applied to the cathode and the negative voltage is applied to the anode? In order for electrons to flow from the cathode to the viewing screen of a picture tube, what three conditions must be present? 11 SECTION II Diodes A. Diodes positive terminal to the negative terminal of the battery or voltage source. Actually, the electrons A ly, diode is a one-way electricity gate. Actual- are flowing from the negative battery terminal to means a device that has two elecbut the word has come to mean a one-way the positive battery terminal. a diode trodes, electricity valve. some Later we will confuse you with CHECK VALVE exotic diodes which are not one-way valves. However, garden variety diodes conduct current one direction. This simple property can be used to detect radio signals, change AC current into DC current, shape voltage waveforms, and even turn signals on and off. in only -SPRING Check valve DOOR SHUTS WHEN -TRY TO FLOW IN OPPOSITE DIRECTION A check valve found in plumbing and fuel lines is a good analogy to a diode. A check valve contains a spring-loaded flapper or door which can open in only one direction. When the fluid pressure is in that direction, the door opens and the water flows unimpeded. When the water attempts to flow in the opposite direction, the pressure, which is analogous to voltage, slams the door and prevents the water from flowing. The higher the pressure, the more firmly it keeps the door shut. DIODE HX DIRECTION OF POSITIVE CURRENT FLOW A LOAD RESISTOR NEEDED. IS OTHERWISE THE CURRENT MIGHT BE SO HIGH IT WOULD BURN BATTERY Fig. 2-1 The circuit symbol for the shown below the check valve. FLUID UP THE DIODE. Check valve analogy for a diode electronic diode is Positive charge is allowed to flow through the diode unimpeded when its direction is the same as the arrowhead in the symbol. When positive current attempts to flow through from the other direction, the diode blocks the current as suggested by the barrier facing the arrowhead. Before the flow of electric current was well understood, positive current flow was defined as current flowing from the B. Ideal or Perfect Diodes Before talk about we study real d'odes, it is helpful to what a diode would be like if it were a ideal or perfect one-way electricity valve. Volt- ampere characteristics like Fig. 2-2 are a good way to graph what an electronic device does in response to voltage and current. 13 + negative currents are plotted below. You will notice that there are no negative currents because the diode conducts only in one direction. 1 RESISTOR VOLT— AMPERE CHARACTERISTIC 2. Resistance Whenever the voltage across the is -V ideal diode positive from the arrowhead to the barrier, the current flows through the diode. Therefore the current must rise above the horizontal axis in the first quadrant where both the voltage and current are positive. + With the ideal diode, the current flow is immediately unlimited with even the slightest forward positive voltage. This is because a perfect diode would have zero resistance. When you divide the voltage, V, by the resistance, zero ohms, you get an unbounded current, an infinite current, which can't be plotted on the curve. That is why the arrow just points off toward infinity, 1 PERFECT R = DIODE ZERO OHMS TURNS FULL ON Any would produce an infinite current provided that all the other components in the circuit loop also had zero resistance. Real diodes always have some resistance, and as you will see shortly, their plots are more interesting. WITH SLIGHTEST POSITIVE VOLTAGE -V +V COMPLETELY TURNED OFF WHEN VOLTAGE IS NEGATIVE positive voltage When the more negative voltage is applied to the arrowhead end of the diode, the diode does not conduct, therefore the current passing through -I is along the horizontal axis to the left. Perfect diodes can also resist unlimited voltage across them without conducting. Real diodes will eventually breakdown or fail when too much voltage is placed across them. Fig. 2-2 Volt-ampere characteristics for a "perfect" diode and a resistor. 1. Linear and non-linear 3. The volt-ampere characteristic for an ordinary resistor is shown alone. Resistors, even real life resistors, are very linear devices. The term linear means that it makes a straight line when On the other hand, diodes are very non-linear because their resistance varys with the amount of voltage across them. The current through the diode is plotted against the voltage across the C. The voltage across the diode, V, is plotted along the horizontal axis. Positive currents, +1, above the horizontal axis, Vacuum Tube Diodes There are a number of ways to construct a The earliest really first rate diodes were diode. plotted Zero Volts Transition Another property of the theoretical perfect diode is that the transition between conducting and non-conducting is abrupt and occurs at zero volts. Real diodes, even the most modern ones, don't achieve this without resorting to a number of components wired together to attempt to achieve the perfect zero volts transition. plotted on a volt-ampere graph. are it zero. In Fig. 2-2 this zero current is plotted diode. vacuum while II tubes. The vacuum diode strongly re- sembles an ordinary light bulb. The only additional component is a cylindrical metal anode or plate which surrounds the filament. of N-type semiconductor. The resulting P-N junction conducts only when the voltage across the diode is more positive on the P side of the junction. When a positive voltage is placed on the metal plate, electrons are attracted away from the hot filament, stream across the vacuum and strike the plate. So whenever a positive voltage is Positive voltage applied to the forward placed on the plate, the diode conducts. When the filament or cathode is positive with respect to the anode, the excess of electrons is now on the plate. Since electrons can't leave a cold plate, the diode does not conduct in this direction. CATHODE P side is called the voltage across the diode is more positive on the N side, only the tiniest leakage current flows, typically a millionth of an ampere bias. \x ( a) If or less. When the more negative voltage is applied to P side, this is called backward bias. The P side the and N side are sometimes still called the anode and cathode, just as if P-N junction diodes were W vacuum diodes. ANODE DIODE SYMBOL HOT CATHODE FILAMENT METAL P-TYPE HOLES-^, PLATE ANODE EXTRA y FPTRnMS V P O o WIRE o , o *o ANODE GLASS OR METAL ENVELOPE N-TYPE CATHODE o o WIRE o ELECTRONS STREAM TO PLATE IN VACUUM Fig. 2-4 A P-N junction semiconductor diode Diode and transistor circuits can frequently be figured out from a diagram by reasoning out which direction the P-N junctions will allow current to flow. From now on, whenever you can identify a P-N junction in a circuit diagram, you DIODE VACUUM TUBE SYMBOL mumble should Fig 2-3 Vacuum tube diode to yourself: "Positive to P Conducts" Loose electrons and holes D. Semiconductor Diodes We By far the most important diodes are made from semiconductors. In Section 1 we said that one of the reasons that semiconductors are so special is that conduction band electrons and valence band holes can be added separately to form N-type and P-type semiconductors. tion for is two explanations for why P-N 1 we said that the two essential ingredients conduction are loose electrons which can leave their home atom and resting places in the outer atoms where those electrons can go. When either of these two ingredients are missing, there is no conduction and the material behaves orbits of Semiconductor diodes are formed when a layer of P-type semiconductor will give junction diodes only conduct in one direction. First a simplified explanation: remember in Sec- joined to a layer like 15 an insulator. N-TYPE P-TYPE ELECTRONS DRAWN OUT OF HOLES IN P-REGION ELECTRONS PUSHED INTO NREGION o o O o* / © ELECTRON o FLOW ELECTRON FLOW o- VOLTAGE PUSHES ELECTRONS OFF CLIFF INTO HOLES BATTERY Forward biased P-N semiconductor diode Fig. 2-5 A simple is that to look at type N semiconduchas some loose electrons, but very few resting places. A similar view of the P semiconductor is that it has some resting places {holes), but very few loose electrons. tor way P the side, it attracts In conduct. away from empty holes. words, other the conductive On the N side, the pushing electrons into the negative voltage N those electrons that diffused over to the P side. So, by applying positive voltage to the P side and Some some up electrons. Since the two components become mixed, the boundary region becomes a conductor. N a holes diffuse across the border to take of the junction obtain the electrons more negative voltage to the side, Now we bias it voltage doesn is will reverse bias the 't conduct. applied to the diode and see When the more positive N side of the boundary, it away from the boundary and out of the crystal. The N material started off with some loose electrons and no attracts the loose electrons will happens. forward bias the diode and see what When the positive voltage is applied to P-TYPE N-TYPE ELECTRONS PUSHED ELECTRONS DRAWN OUT OF N SIDE INTO HOLES HOLES FILLED SO P SIDE ELECTRONS PULLED OUT SO N SIDE BECOMES VERY POSTIVE BECOMES VERY NEGATIVE BATTERY Fig. 2-6 both sides and holes they need to become conductors. why We is region to replace electrons diffuse over into the holes and Forward and backward boundary region becomes wider until the diode starts to In the center of the diode where P material is joined to the N material, there are free electrons just a few atoms more electrons across the N-to-P boundary and into the waiting holes. it Reverse biased P-N semiconductor diode 16 resting places. When applied to the N trons the more positive voltage ward biased diode conducts because the electrons is side, it attracts the loose elec- away from the boundary region and out N are able to fall down hill. of side with no electrons We can summarize by saying that forward biasing the diode pushes electrons "off the cliff" from the conduction band in the N side down to On the other side of the junction, the more negative voltage pushes electrons into the P side thus filling in the holes and destroying the resting places. So, on the P side too, the diode has the valence band holes. The forward bias is actually decreasing the energy difference between the conduction band and the valence band. the diode, leaving the and no resting places. no electrons and no resting places. By back biasing the diode, both semiconductor layers have been converted into insulators. Positive and negative charged P-N diodes positive voltage A more complete way to understand the P-N is to remember that semiconduchave two modes of conduction. Hole-to-hole conduction (bumper-to-bumper traffic) occurs among low energy electrons in the valence energy band. Atom-to-atom hopping by high energy electrons (expressway traffic) occurs in the conduction band. The fundamental these two bands is their different energy levels. and makes it when electrons are pushed into the makes the P side more negatively chargSince both sides become more ionized with are really talking about voltage dif- ference between bands. This means that it In order for back baised diodes to conduct, the electrons would have to enter the P region, then conduct from hole to hole over to the bound- takes energy to raise a valence band electron up to the conduction band energy level. It is very much like lifting those cars up to the second floor of the parking garage. ary which is at the foot of the energy "cliff." In order to get up the cliff, the electrons would have to acquire enough voltage to "climb up the cliff" to enter the conduction band. The interesting thing about this phenomenon is that, the more On the other hand, it takes no external energy for an electron in the conduction band to fall down to the valence band level. It is easy to roll down the ramp to the lower floor of the parking garage. You don't have to burn gasoline or even start the car! voltage you back bias across the diode, the higher the cliff becomes to prevent conduction. This is reminiscent of the flapper door in the check valve. The higher the water pressure becomes in the off direction, the more tightly it holds the door shut. Now again apply forward bias to the diode and see what happens to the energy levels. When the more negative voltage is on the N side of the diode, it pushes electrons into the N-type material and makes electrons more numerous along the boundary between the N and P layers. Electrons can fall down, that is, lose energy, as they fall into the holes along the boundary. P Semiconductor forms in Semiconductor diodes are usually packaged two forms. Small diodes usually take the form of glass, plastic, or ceramic cylinders or beads with two leads projecting from the ends. Usually there is a band painted around the diode body which indicates the cathode end of the diode. more positive voltage atP material so that the holes do not become filled by the electrons coming across the border from the N side. The forthe side the more material. This charge of opposite polarities, the voltage between them is increased. This increases the voltage between the conduction band and the valence band respectively. This has to happen because virtually all the electrons doing the conducting on the N side are in the conduction band. And, virtually all the electrons doing the conducting on the P side are in the valence band. difference between Another word for voltage is potential energy. talk about energy difference between On N when N side, it ed. When we we applied to the Similarly, P Potential energy bands, is draws electrons out of the more positively charged. junction diode tors are back biased side, the Large diodes that can handle large currents without overheating are usually mounted in a metal bolt-like package with the threaded end tracts electrons out of the 17 . # Fi^. 2-7 Assorted semiconductor diodes + serving as the cathode. The diode is bolted to a heat sink (a large chunk of metal) to keep the l (mA) semiconductor temperature down. The anode for is usually a terminal which pro- FORWARD CONDUCTION these large diodes STARTS AT ZENER jects out of the top. ABOUT BREAKDOWN Sometimes several diodes are packaged together in arrays or bridges for use as rectifiers or in signal processing. These multiple diode packages may even resemble integrated circuits with 14 or more leads coming out of them. +0.2 VOLTS DC VOLTAGE LEAKAGE CURRENT a .AMP 1 Silicon and Germanium Diodes GERMANIUM Most general purpose diodes are now made from silicon, although germanium diodes are still useful for some applications. From a physics DIODE -I point of view, the key difference between silicon and germanium is that the energy level difference between the conduction band and the valence band is greater in silicon than it is in germanium. This means that devices made from germanium are more likely to increase their conductivity with heat. If the electrons and holes induced by heat become more numerous than those embedded in the crystal by doping, the P-N device will loose its FOWARD CONDUCTION STARTS AT ZENER ABOUT BREAKDOWN VOLTS DC +0.6 VOLTAGE one way characteristics. «/ " +V 1.0 (VOLTS) Volt-ampere characterics Fig. istics of shows the volt-ampere charactergermanium and silicon diodes. If you 2-8 compare these graphs with Fig. 2-1, that neither of these diodes is For most you SILICON will see DIODE very "perfect." circuits, the principle practical dif ference between these diodes and the ideal diode is that they need a small, positive voltage to turn them Fig. 2-8 on. Germanium and characteristics 18 silicon diode volt-ampere In case of silicon, this voltage is 0.6 volts DC. Depending on the diode, the zener voltage can be anywhere from 5 to 600 volts. This transition often destroys the diode, but as we will see in the next section, it is possible to design diodes that survive the zener breakdown. For germanium diodes, this forward voltage is only 0.2 volts, because the energy band difference is less. Most of the time these voltage offsets are not very important if the voltages they are working with are large. For example, when used with a 25 volt signal, it usually doesn't matter whether the diode begins to conduct at zero, 0.2, or 0.6 E. veils. Diode Applications Diodes as circuit elements are extremely verDiodes can accomplish many tasks that satile. When real diodes conduct, they always have with an ohmmeter, this is typically 5 or 10 ohms for germanium diodes and 10 to 20 for silicon diodes. Because the forward voltage drop is so constant, the resistance at high current levels can be extremely low, 0.1 ohm or less. Of course, to have such low resistances, the diode must be large enough to tolerate high current levels without some forward resistance. one might assume would require more elaborate devices, such as transistors or even integrated When measured circuits. Examples include radio signal detectors, frequency converters, modulators, peak detectors, regulators, clippers and more. Rectification Probably the most overheating. common Rectification use for diodes is the conversion of alternating current to direct current. Since the current through a diode flows only in one direcrectification. Large diodes have more leakage current when back biased. For example, a small diode might pass a microampere of current when back biased. Large, high current diodes might pass a milliampere or more when back biased. A "perfect" diode would, of course, refrain from passing any current when back biased. tion, by is definition, this current is direct current. Therefore when alternating current is applied to a diode, only direct current in the proper direction will flow and hence the Half-wave rectification. rectifier Zener breakdown When a sine wave voltage, such as household 120 volts AC, is applied to the half-wave rectifier, the current flows only during the positive half cycles, hence the name, half-wave rectifier. The output voltage is taken from across the load resistor. Anytime current flows through a resistor, voltage appears across it. Although this is probably obvious, resistors are commonly used in electronic circuits to convert the current coming out of a device into a voltage. Another departure from the ideal diode is the zener breakdown which occurs when a semiconductor diode is back biased past its ability to resist voltage. At a certain threshold, called the zener voltage, the P-N barrier is swept away and the diode suddenly behaves like a good conductor. It is as though the flapper door in the check valve were caved in and swept aside by too much pressure. > > t INPUT VOLTAGE RESISTOR V, N * > Fig. 2-9 „ LOAD A half-wave rectifier circuit 19 >- -> RESISTOR v, N t LOAD > -> Fig. 2-10 If the direction of the diode VquT Negative half-wave Oscilloscopes are a kind of high impedance voltmeter that plot a graph of voltage versus time on the face of a cathode ray tube. reversed, then is the current will flow through the resistor only in the opposite direction. The polarity of the output voltage across the resistor is reversed. Notice that the "negative voltage" we have generated is just a matter of which of the two output leads rectification Fig. 2-11 shows an oscilloscope measuring voltage through a typical medium-sized, semicon- is ductor diode. Since the oscilloscope draws practically no current, it can see both the positive and negative parts of the sine wave right through the defined as "zero." Voltmeters/oscilloscopes diode. It is common diodes only isn't quite let beginners to think that through positive voltage. This right. anode-to-cathode for It is The lesson here direction that is allowed that in order for rectifica- must be placed on the diode output. Suppose the diode can pass only 1 microampere in the reverse direction. If the load were 10 ohms, the voltage across the resistor on the negative half cycle to pass. Voltage, regardless of the polarity, can be measured through very high resistances, even back biased diodes. As you probably know, voltmeters have very high resistances in them so that they will not draw any is tion to take place, relatively low resistance loads positive current in the would be: V = I R V= (1 u V = 10 millionths of a volt current. This is called a high internal impedance. Its purpose is to be sure that the voltmeter will not draw current and change the voltage that it is trying to measure. amp) (10 ohms) - practically zero m >— +r TYPICAL DIODE WAVEFORM ON SCOPE LOOKS JUST LIKE INPUT VOLTAGE. NO RECTIFICATION! 1 MEGAOHM LOAD INSIDE OSCILLOSCOPE > Fig. 2-11 An oscilloscope measuring voltage through a diode 20 So, for a 10 ohm load, the rectification Diode misconception would be excellent. Another common diode misconception has a 1 million ohm internal impedance, the negative voltage it would see during the negative half cycle would be: If the oscilloscope in Fig. 2-11 (1 V= 1 amp) fi (1 on must be "positive" while the voltage on the cathode must be "negative." Actually, megaohm) and negative are just relative terms. All is which end of the diode is more that matters positive. volt If the sine wave had 1 volt peaks, this that the oscilloscope could sine that the anode positive V = is in order for conduction to occur, the voltage wave without the Both of the diodes shown in Fig. 2-12 are forward conducting because the voltage at the anode end of each is more positive than the voltage at means show the complete slightest evidence of rec- the cathode end. We should point out that small, high quality silicon diodes with leakage currents as low as 0.1 ^ ampere will rectify even in this situatification. F. tion. *r 12 VOLTS = — -WAA/ ^^ The current from a half-wave rectifier is DC, but it is certainly not continuous DC such as you would obtain from a battery. If this source of DC were being used to power a Hi-Fi amplifier, these pulses of DC would be heard as a loud 60 cycle 6 VOLTS X Filtering rectifier output hum hum JT in the loudspeaker, exactly the same sort of that a large transformer makes. The humps in the rectifier output are called and to smooth them out, the output is ripple WW-T]_ >j 12 . 6 almost always passed through a low pass filter. A low pass filter passes very low frequencies but severely attenuates high frequencies. Pure direct current is the lowest possible frequency. Pure DC not only does not alternate its polarity, it doesn't even change its voltage level. Therefore its frequency is zero and when pulsed DC is passed through a low pass filter, the pulses are at- VOLTS - VOLTS X zr tenuated. Fig. 2-12 Forward biased diodes R-C LOW PASS FILTER >—w Fig. 2-13 Half-wave DC RIPPLE rectifier 21 with a low pass filter -^ Rload -> ISOLATION TRANSFORMER Full-wave Fig. 2-14 voltages at the ends of the secondary are opposite each other, one end or the other of the secondary Looking at it another way, the capacitor charges and discharges so slowly that the gaps between the pulses are not long enough to allow As the capacitor to discharge to zero volts. rectifier circuit will always be positive with respect to the center of the secondary winding. a gaps are eliminated. There is always some up and down variation, ripple, which remains no matter how large the capacitor is. The larger the capacitor and the larger the resistance, the purer the DC that will emerge from the filter. result the 2. By using the be half as high as it would be if we used one of the secondary as "ground." But since we are using a transformer, the winding can be built to produce any voltage desired. will end Full-wave rectification Since large capacitors are expensive, The output from the and blem. The idea behind full-wave rectification is to produce useful current out of both the negative and the positive half cycles. In order to do this, you need a new "ground" or zero reference for the output voltage. Isolation transformer 3. Bridge a rectifier called a bridge rectifier. The AC to be rectified fed into opposite ends of the diamond. is is The output taken off the other two corners. you look at the direction of each diode you will see that only positive current is allowed to go to the positive side of the output If carefully, floating in a balloon. means that you could touch is in Diodes can be used to establish the new ground reference for full-wave rectification. The diamond shaped configuration for the diodes is of full-wave rec- but the easiest to understand, is accomplished with an isolation transformer. Household 60 Hz current is nearly always referenced to earth ground. By passing this current into the primary of an isolation transformer, the output from the secondary of a well designed transformer can be as well isolated from ground as if it were coming from a diesel generator tification, Isolation full-wave rectifier with no gaps between. These pulses are all positive and so close together that they are easier to filter. There are 120 humps per second instead of 60 per second for unfiltered half-wave rectification. If this unfiltered DC were used to power a stereo, you would again hear a loud, unpleasant hum, but the frequency would be noticeably higher. series of half cycles diodes are not, full-wave rectification is an inexpensive way to greatly improve the ripple pro- The most expensive kind center tap as a ground reference, the voltage coming out of the full-wave rectifier while negative current (positive current going the opposite direction) is allowed to go only to the negative side of the output. At any given moment two of the four diodes are conducting, one to the either side of the secondary with a bare finger tbut not both sides) and not be shocked. The new ground reference can be the center tap of the transformer secondary winding. Since the polarities of the positive side and one from the negative side of the output. 22 LOW PASS VOUT FILTER Fig. 2-15 Diode bridge rectifier Choke inductor with low pass filter. voltage of the battery, the diode turns on and conducts current into the battery. A more complex low pass filter using a choke shown. The chokes are not used often in such filters unless the current is low, because high current inductors cost quite a lot. The advantage of the inductor is that, unlike the resistor, it doesn't dissipate energy and the output voltage is higher for the same degree of ripple smoothing. The input capacitor, Ci, when combined with the forward resistance of the diodes makes an R-C low pass filter. The C-L-C configuration is sometimes called a pi filter because the three elements drawn in a circuit resemble the greek letter n. inductor G. In this way the voltage across the load reprevented from rising higher than the battery voltage. This clips the sine wave off at V volts. This clipping action is not restricted to is sistor is positive half cycles. The circuit in Fig. 2-17 clips both the positive and negative peaks of the sine wave. In effect, it produces a fairly good AC square wave from a sine wave. What happens into the batteries? to the energy that is shunted Some of it is lost in heating the resistance of the battery and diode, but most of it charges the battery. As we shall see later, there are easy ways to build clippers that do not require Diode Clippers batteries. Clipping circuits resemble rectifier circuits. are also called limiters, amplitude selectors, They or slicers. The rectifier circuits H. Suppose you had a widely varying DC voltage and you needed to know the highest voltage that was reached during a certain time interval. A peak detector consists of a diode charging a capacitor. The diode allows current (charge) to flow into the capacitor, but will not let it leave. As a result, the capacitor charges to the highest voltage it is exposed to, but doesn't discharge. "clipped" the AC cycle at zero volts. By rearranging the circuit and adding a reference voltage, it is possible to clip off either the positive or negative voltage peaks at any desired voltage level. Fig. 2-16 shows a diode clipper circuit made from a diode and a battery. Whenever the voltage across the diode and battery tries to exceed the > Diode Peak Detector Circuits we examined WW- "> I Rload V VOLTS "(BATTERY) > * Fig. 2-16 Diode clipper 23 circuit *-: > \AAAr * I > > Fig. 2-17 Dual clipper circuit converts an AC sine wave to an AC square wave. .PEAK >— w- VOUT -> PEAK -r / i \ SWITCH RESETS CAPACITOR TO ZERO ! . fc > Fig. 2-18 /. Diode peak detector +5 DC-to-DC Voltage Inverter The following +5 volts volts can be inverted to a must minus be converted into a square wave. This is done by just switching it on and off with some sort of electronic switch, such as a supply, to the peak detector to provide a small source of negative voltage. Because power supplies are expensive, engineers try to design electronic equipment with as few of them as possible. it first multivibrator. Let's assume that the first capacitor, Ci, is not charged so the voltage across it is zero. As soon as the square wave jumps up from zero to +5 volts for the first time, the voltage at the bottom of the capacitor, that is, the voltage across the diode, CRi, will rise abruptly to +5 volts. This is because the voltage across a capacitor For example, most computer circuits use 5 volts DC practically everywhere. However, every now and then a precision operation amplifier or an analog to digital converter must be used which requires a few milliamperes of —5 volts DC. The circuit in Fig. 2-19 uses diodes and capacitors to make this transition from +5 volts to —5 volts. This circuit —5 volts to Before circuit uses a principle similar can't change instantly. Since the voltage across the diode can be thought of as on the fact that once a capacitor is charged, a capacitor has no way to discharge itself. Moreover, a good quality diode can only conduct in one direction, so between these two properties, energy is "pushed into" the capacitors and is given no way to leave except in the form of a —5 volts supply. (Fig. 2-19) two peak detectors. t "> is more positive on the anode side, the diode will conduct It relies and the capacitor Let's will charge toward +5 volts. assume that by the time the square wave drops back down to zero, the capacitor has charged to + 5 volts and the voltage across CRi is zero. CR2 has not conducted yet, so the voltage across C2 24 is still zero. + 5 V CR 2 -5 VOLTS cr c/) Oh <O > + 5 VOLTS DC £ O w> =^c uj CC -J c/5 UJ CC qj CD a? CO t- 2: O + 2 ^Rload a. iizo so- CR, • Fi/j. 2-79 As soon as the square wave drops from +5 down to zero volts, it will "push" the charg- word switch you immediately think of a device switch that has three basic parts— the wire going in, the wire coming out, and the handle to turn it on. The diode has the first two ingredients, the input and output leads, but where is the handle ? like a light ed capacitor below zero. Remember, the capacitor can't change its voltage immediately, so its +5 volt side is suddenly connected to zero, while its old "zero side" is suddenly connected only to the diode CR2 which connects it to the node where we want —5 volts. Since CR2 now has a higher voltage on the right, zero, than it has on the left, —5 volts, current flows from the zero, right to left. And, while this current is discharging the capacitor, Ci, it is also charging C2 in the negative direction. The handle diode is the fact that a small on top of a large DC signal. Whenever the diode is turned on by a relatively large DC signal, a relatively small AC signal can be added to the large DC signal so that its waveform is impressed on the top of the DC. An analogy might be waves on the surface of a deep river. When the large DC signal is changed from positive to negative, the diode stops conducting and the AC is turned off along with the DC. If the river dries up, obviously the waves will disappear with it. signal can Diode Switch The diode can be used small AC signals on and as a switch to turn off. When you } VOLTS * DC-to-DC inverter volts J. * • • use the in a ride ON , V ,\ + ON OFF - X- OFF pK^nON OFF. AC RIDING DC PULSE \t RC > HIGH PASS SV /ITCHIN G WFORN F 1 OFF FILTER MvW 1* OUTPUT WIK> AC SIGNAL BEING SWITCHED WAVEFORM T k_ SWITCH CURRENT FROM LARGE •ON" FLO//S * DOWN TO SMALL AC VOLTAGE Fig. 2-20 A diode switching a small 25 AC signal on and off • K. The Diode Detector difference Crystal sets The earliest practical AM radio that the signal going into we discussed is wave, anywhere from, say 100,000 receivers MHz. The were called crystal sets and consisted of little more than a diode, an antenna, and a headphone. Diode radio detectors are basically rectifier circuits followed by low pass filters. They are not very different from the half- and full-wave rectifier circuits is a high frequency radio signal instead of the low 60 Hz signal found in power supplies. The radio signal is a high frequency sine the detector signal varies Hz up and down to 100,000 in amplitude at a rate proportional to the modulation. modulaton can be whatever. TV The picture, or the output from the detector were would remain a series of DC pulses, the unfiltered output from half- or fullIf unfiltered earlier. voice, music, it much like wave rectifier circuits. Modulation and detection The modulation and detection process is seen The upper waveform is the original audio waveform as it comes out of the studio microphone at the radio station. The second waveform is the transmitted radio signal. The *-t in Fig. 2-21. audio signal rides on top of the radio signal, much the way the small AC signal rode on top of the DC signal in the diode switching circuit. Looking at this another way, it is as though the amplitude of the radio transmitter signal is being increased and decreased in time with the DJ's voice. The third waveform is the same radio signal after it has been rectified by a simple halfwave rectifier. After passing through a low pass TRANSMITTED RADIO SIGNAL filter, the resulting signal is a good replica of the original audio signal. Fig. 2-22 crystal set shows a AM by an L-C tank circuit receiver. The diagram of a simple signal is first tuned circuit so that, hopefully, only station will be heard at a time. "- one The idea behind the resonant tank circuit is that all stations except the desired one will be shorted to ground. SIGNAL AFTER RECTIFICATION BY DIODE The then rectified and passed pass filter consisting of the resistance which is the forward resistance of the diode and the capacitor, Cj. After leaving the low pass filter, the audio signal is a positive DC signal which varys up and down at the audio frequency through rate. AM a is low The R-C filter just removes the short radio frequency pulses. The headphones in this circuit serve two purposes. The most obvious is, of course, that they convert the varying DC signal to sound waves. REPLICA OF AUDIO WAVEFORM AFTER LOW PASS FILTERING Fig. 2-21 signal As the DC current passes through the headphones, small inductors, coils, produce a varying modulation und detection process 26 LONG WIRE ANTENNA RC LOW PASS FILTER ~> FORWARD RESISTANCE IN RECTIFIED DC DIODE HEADPHONES CONVERT VARYING DC CURRENT TO SOUND -V* Rd HEADPHONES LC TUNED ALSO DRAIN -CURRENT OUT OF Ci TO KEEP IT DISCHARGED WHEN THERE IS NO SIGNAL CIRCUIT SELECTS r T DESIRED STATION (SHORTS ALL OTHERS TO GROUND) Fig. 2-22 AM detector in a crystal set magnetic field that pushes and pulls on thin steel diaphragms. These diaphragms vibrate and produce the sound. The second purpose of the headphones is more subtle. They provide a load on the capacitor, Ci, and discharge it in between audio peaks. If there were no load on the capacitor, the circuit would be a peak detector and would charge to the highest audio peak and stay there. Although detectors are frequently more complex than this, simple diode detectors are still widely used, even down to the frequency of the original speech. The headphones convert the electrical signal into sound waves compatible with your ears. Mixers It is frequently necessary in more complex radio receivers and transmitters to convert one radio frequency to another radio frequency. Diode converters or mixers are one done. way this can be in sophisticated avionics receivers. L. Diode Frequency Converters The diode an example of a diode frequency converter. The radio signal varys in amplitude at a rate which matches the speech and music frequencies that are being broadcast. The human ear can't hear sound waves at a frequency higher than about 20,000 Hz and it certainly can't hear electromagnetic (radio) waves at any crystal set The basic idea you want ly is to mix the radio signal that to convert with another different, local- generated radio frequency signal. is together, other. the two signals One moment they When mixed interfere with each are both positive and they reinforce each other. This makes the bigger than either of the two signals. sum However, the next moment one may be posi- tive while the other is negative. In this case they frequency. cancel each other and the mixture of the two sig- Even directly to waves were converted sound waves, say at 1,000,000 Hz, you if the radio wouldn't be able to hear the modulation because the sound frequency would be too high for the ear to respond. Sound waves above the range of hearing are easy to generate and are called ultrasound. The diode detector serves as a frequency converter which reduces the modulation still nals is smaller than either of the original two two signals don't have the same signals. Since the it is inevitable that they will be out of synchronization with each other half of the time. frequency, result of this mixing is a new complex signal which is amplitude modulated with a sine wave whose frequency is the difference between the frequencies of the original two signals. The MIXTURE, FradiO + FLOCAL kKMJd £ Fradio input > -)h TUNED TO DETECTOR SHORTS 'OUT HALF / RADIO -¥ /TUNED TO BEAT FREQUENCY 'OF MIXTURE FREQUENCY^ /r = Flocal - Fradio -fV > LOCAL OSCILLATOR Fig. 2-23 A diode frequency converter not very sensitive. The antenna the signal must be very strong in order to hear a station clearly. Moreover, the signal going to the earphones is far too weak to drive a loudspeaker. The second serious problem with the crystal set is that it is not very selective. It will easily pick up more than one station at Beat frequency First, it is must be huge and This difference frequency is called a a beat The beat frequency could be in the audio range if the local oscillator and the radio signal were only a few hundred cycles apart. How- frequency. ever, usually the two signals are hundreds of hertz apart so that the beat frequency itself radio signal. In summary, mixing the radio kilois a once. fre- Both of these problems can be greatly improved by amplifying the radio signal many times with several sharply tuned amplifiers. We will discuss amplifiers in detail in Sections 4, 5, and 6. For now it is enough to understand that amplifiers take small, low amplitude signals and make high amplitude signals that are like the original, but very much larger. quency signal with the local oscillator signal produces an AM modulated signal which is modulated with a new radio frequency. Frequency converter The next step in the frequency converter is to detect this modulated radio frequency. This can be done in the same way as in the crystal set. In the circuit seen in Fig. 2-23, the diode "shorts It turns out that it isn't practical for one the signal large enough to drive a loudspeaker or to drive several tuning filters. out" the negative half cycles by conducting them to ground. The rectified half-wave signal is transferred across the transformer where it is tuned by an L-C filter to exclude all frequency components except the desired new beat frequen- amplifier to make Practical radio receivers have 4 or fiers in series more ampli- to produce signals of sufficient strength to drive a loudspeaker. cy. TFR You should be asking yourself, "What is receiver a frequency converter good for?" We shall start at the beginning. Suppose you were to build the crystal set in Fig. 2-22. You would find that it has (TRF). two serious drawbacks. quency amplifiers Fig. 28 Another obsolete kind of receiver is seen in 2-24, the tuned radio frequency receiver The TRF receiver uses 4 or in series to more radio fre- produce strong, ANTENNA ALL FOUR L-C CIRCUITS TUNED TO RADIO STATION DETECTOR LOW PASS & FILTER LOUD- SPEAKER Fig. 2-24 selective radio signals prior to detection. A TRF receiver An Superhetrodyne receiver audio amplifier makes the audio signal from the detector strong enough to drive a loudspeaker. Fig. 2-25 shows a block diagram of a super- hetrodyne receiver. This is a fancy word for a receiver with a frequency converter. The string of Note that each radio frequency amplifier is preceded by an L-C tuned circuit which selects the proper station. After being tuned four times, the selectivity is very good. While we are at it, notice that the low pass filter after the detector is, in effect, a tuning mechanism for the audio amplifier. That is, it rejects all the high frequency half cycles that we do not want to amplify. tuned RF amplifiers is called intermediate frequency amplifiers or IF amplifiers. After the IF amplifiers there are the usual detector and audio amplifier. Sometimes the frequency converter is called the first detector and the audio detector the second detector. As an example, let's say that the intermediate frequency is 455 kHz. As the local oscillator frequency is changed, the oscillator is always 455 kHz away from some frequency. So that is the frequency that is detected and sent to radio tuned the IF amplifiers. For a standard to 1000 kHz with an IF of 455 kHz, the local oscillator must be tuned to 1455 kHz. When the The TRF receiver works great, but what happens when you want to change stations? Each of those L-C tuned circuits must be individually tuned to the new station. This is very difficult and explains why TRF receivers are obsolete. Attempts to tune all four tuned circuits simultaneously don't work very well, usually because one or two of the amplifiers won't tune exactly like AM is tuned to 600 kHz, the tuned to 1055 kHz, and so on. radio local oscillator is the others. Unfortunately Modern the TRF there is a catch to local The local oscillator is not only 455 kHz above some frequency, it is also 455 kHz below some frequency. This means that if there were not some filtering on the antenna, the radio could pick up two radio stations at once, even though the stations were 910 kHz apart! The unwanted station is called an image and is tuned out by a filter between the antenna and the frequency receivers achieve the advantages of oscillator tuning. receiver without the tuning difficulty. The radio frequency signal is converted to a constant intermediate frequency. After the signal has been converted, the string of tuned amplifiers amplify without the need for retuning them for each station. The idea is that the radio is tuned by shifting the frequency of the local oscillator rather than tuning all those amplifiers. single, converter. 29 ANTENNA FREQUENCY CONVERTER „ THESE 3 L-C CIRCUITS ARE PERMANENTLY TUNED TO THE INTERMEDIATE FREQUENCY ', ANTENNA AND LOCAL OSCILLATOR ARE TUNED SIMULTANEOUSLY TO SELECT THE STATION LOUDSPEAKER Fig. 2-25 Tuning two circuits, the filter and A superhetrodyne receiver voltage regardless of how much current was passing through the voltage source. Referring to Fig. 2-8, are there any features of the than tuning four or more RF amplifiers, so the superhetrodyne has become the standard way of building radios. Diode frequency converters are still important at very high oscillator, is still easier semiconductor diodes that seem to fit this definition of a "perfect" voltage source? (like radar) where other more exotic frequency converters don't work very well. frequencies 4. List as many reasons as you can why the is not "perfect." semiconductor diode QUESTIONS: 5. 1. 2. semiconductor diodes have a forward offset voltage and a forward resistance. From what you know about the behavior of thermistors, how would you expect these two diode characteristics to change as the diode temperature increases? All resistance and power dissipated in the same diode for 10 milliamperes of forward cur- Large diodes have more N- and P-type semiconductor in them. How is this related to the fact that large diodes pass more leakage current small diodl in the rent. 6. reverse direction than were such a thing, a "perfect voltage source would provide a constant It customary to rate diodes in terms of the forward current they can safely conduct, rather than the maximum power they can dissipate. This is because the forward voltage drop across the diode is very constant with different forward currents. It is maximum ' 3. Just because diodes are not linear does not mean that they do not obey Ohm's law. Referring to the silicon diode characteristics shown in Fig. 2-8, what is the approximate forward resistance of the diode when it is conducting 5 milliamperes? Now find the there 30 Therefore, the maximum power is directly maximum current. For 7. proportional to the MR Electronics engineer Jones designed the following hybrid power supply for the new Mark IV Wonderview TV. 1396 is a silicon example, the Motorola diode rated at 30 amperes maximum average forward current. At this current the forward voltage drop is only 1.0 volt. At 0.5 amperes forward current the voltage drop is 0.8 volts. How many watts can it safely dissipate? What is its forward resistance It is a combina- tion of a diode bridge full-wave rectifier a center tap full-wave rectifier. Wonderview TV's were and Over 40,000 built before this in- novative circuit was noticed. Why was Jones fired? Was the management jealous of his inventive genius? under these two different conditions? POSITIVE DC 120 VOLTS AC VOLTAGE lAtifc 1 DESIRED HERE T /TYYY 1 HINT: Look at what happens to each diode as the transformer secondary processes positive and negative voltage tapped winding. in each half of the center When bench testing some of the 40,000 Wonderview TV's, it was found that some of them worked fine after initially blowing the 9. and belching clouds of black smoke. Looking at the circuit in question 7, what might have happened that could have "redesigned" Jones' circuit and left it workcircuit breakers Electronics engineer Jones gets a new job with ThunderVista Television Company. He is certain that his new design will not blow circuit breakers or smoke. He secretly shows the new power supply design to you before building it. Is he right? Will it work? ing properly? POSITIVE DC VOLTAGEDESIRED HERE T 1 HINT: How can the positive current travel from one side of the secondary winding to the other? 31 10. In each of the following clipper circuits, 13. figure out the output voltage waveform. If by a circuit, figure it out without the battery. That is, replace the battery with a piece of wire. Then move you are confused first the clipping action up and tion (polarity) indicated > ^t down by the in the direc- battery. > •M- Engineer Jones has observed that TV commercials are louder than the rest of the regular program audio. He is designing a circuit that will turn off the TV audio whenever a commercial comes on. He plans to use a peak detector similar to the one in Fig. 2-18 except that the peak detector must ignore all the audio peaks less than a certain threshold voltage, V. He wants to add a battery of voltage V IN V to the circuit so that the output voltage will remain zero until audio peaks exceed the battery voltage, +V. He can't figure out where to put the battery, so he asks you to help him. Draw the new threshold peak detector and sample waveforms. VOUT * 14. 11. Draw the output voltage waveform. y vwv -> 15. M , shown in Fig. 2-20 a is There are about four steps involved in receiving amplitude modulated radio waves in the crystal set shown in Fig. 2-22. In your own the output voltage waveform. > signal nal rectified? X Draw AC turned on and off by a large DC square wave. Why does the AC signal have to be small? Why isn't the AC sig- VOUT 12. In the diode switch "small" 16. words, describe these steps. AM In what ways are a diode detector and a diode frequency converter alike? In what ways are a diode detector and diode frequency converter different? AM > VOUT 17. > What is the purpose of a local oscillator in a superhetrodyne receiver? Why is it necessary to tune the antenna signal as well as the local oscillator? 32 SECTION III Special Purpose Diodes In the last section we studied ideal or perfect diodes and compared them with real semiconductor diodes. We found that real diodes have a number of flaws that can complicate one way electricity valves. many turns out that It i>T VOLT BATTERY 0.6 Fig. of these flaws can be we A. /\AAA/* DIODE FORWARD RESISTANCE Equivalent circuit of a 3-1 made from commonly used which capitalize on these unusual for the DIODE their use as useful. Several types of exotic diodes are characteristics. First IDEAL silicon diode "perfect" parts. will look at applications forward offset voltage. the need for real batteries. Several silicon diodes can be placed in series to produce larger voltage Stabistor Diodes offsets. Stabistor diodes consist of several silicon diodes connected in series and packaged as if they were one diode. Their combined forward offset voltages They make them are For example, useful for voltage regulators. sometimes called forward voltage re- ference diodes. All this talk about batteries inside of diodes given you the idea that you can run may have your flashlight on a 3 volt stabistor. This "battery" we are talking about is really a voltage bar- shows an equivalent circuit for a real made from "perfect" parts. It conan ideal diode, a resistor, and a 0.6 volt bat- Fig. 3-1 rier. silicon diode It is not actually a battery that will provide energy. tery. A good analogy would be a dam on a river. The water must reach a certain depth before it Resistor resistor represents four silicon diodes in Voltage barrier Silicon diodes typically have a forward offset voltage of 0.6 volts. This offset voltage is like having a 0.6 volt battery built into the diode. The we put bistor diode. Silicon diodes tains if voltage will be about 2.4 volts. Fig. 3-2 compares a clipper circuit of the type we looked at in Section 2 with one made from a staseries, the offset can flow over the dam. Just because there is a dam, does not guarantee that there is any water in the river behind the dam. The energy must come from outside the diode before current can flow "over" the voltage barrier. the forward resist- ance of the diode when it is conducting. Since each diode comes equipped with its own 0.6 volt battery, it is easy to build clipper circuits without 33 R > Z> I IDEAL DIODE VOUT VlN _ X > > VOLT BATTERY 2.4 ^ vVv'sA STABISTOR 'DIODE VlN Fig. 3-2 v J > > A stabistor clipper circuit When Stabistor voltage it Stabistors are available in a variety of voltages up to about 5 volts. From the curves in Fig. 2-8 you can see that diode forward offset voltage(s) do vary somewhat with current, so the nominal regulating voltage of a stabistor is usually specified at some standard current, like 10 milliamperes. Since the stabistor has a voltage across it and a current passing through it, there must be power consumed by it. Therefore, the other important parameter of a stabistor is the amount of power (heat) that it can dissipate without damage. B. ^ EQUIVALENT CIRCUIT Silicon Solar Cells the sun shines on the P semiconductor, way that heat frees hole-electron pairs, just the and any semiconductor material. The sun's energy knocks electrons from the valence band in the P material "up" into the conduction band in the N material. The forward offset voltage, 0.6 volts, prevents them from falling back down to the valence band. frees hole-electron pairs in thermistors This offset voltage barrier itself acts like a back biased "ideal" diode as long as the "backward" voltage (the real anode to cathode voltage) doesn't exceed 0.6 volts. By providing an external circuit for these electrons to flow through, these new useful work by flowing back electrons in the N material can do to the tor layer via the external circuit. We said that in order for current to flow over the forward offset voltage barrier, it had to be provided by some outside source. The silicon solar cell is a diode that does this by converting sunlight to electrical current. As long as the sun is shining, this diode really is a battery! voltage in this solar battery cell construction made from delicate wafers of with a very thin layer of P-type silicon on the surface. A grid of thin metal win's on the surface of the solar cell collects the current from the V semiconductor. Solar cells are Vtype limited to the off- set voltage, 0.6 volts. In practice a silicon solar cell provides 0.6 volts only (when load Solar is P semiconducOf course, the when it has virtually no load on it not powering anything). When a useful placed on it, the voltage drops down to it is is about 0.45 volts or less. Silicon cell battery charger silicon To use silicon cells to charge a battery, many placed in series to give a voltage greater than the battery you wish to charge. For exam- cells are GRID OF COLLECTING WIRES ~> HOLES APPEAR IN P MATERIAL POSITIVE A CURRENT (FLOW OF .LOAD HOLES) SEMICONDUCTOR ELECTRONS KNOCKED METAL LAYER Fig. 3-3 A silicon solar cell charge a 12 volt battery, typically 32 to 36 diode cells in series are used. The amount of current a silicon cell can provide is directly proportional to the area of the cells. pie, to C. Light Emitting Diodes Light emitting diodes (LEDs) are replacing incandescent lamps for panel lights in most electronic equipment and are widely used to make up the number and letter displays in calculators, digital clocks, cash registers, and avionics instruments. We are describing them here because, in a way, they are another application of the forward voltage drop in a semiconductor diode. Fig. 3-4 shows a circuit with 9 silicon cells being used to charge one 3 volt battery. Notice the extra, conventional diode in series with the battery. INTO N MATERIAL This diode allows positive charge to enter the positive end of the battery but does not let positive charge go from the battery back to the Light emitting diodes are the opposite of a absorb light which knocks electrons from the valance band up to the conduction band. Light emitting diodes give off light when electrons are pushed off the "energy cliff" and fall from the conduction band down to the valence band. solar cells. silicon solar cell. Solar cells When the sun sets, the solar cells revert to ordinary silicon diodes and could put a drain on the battery. This drain is not serious because the combined forward offset voltages would have to be overcome before large currents can flow. None the less, there is a leakage current and it is standard practice to put a protection diode in series with the solar panel. In most respects light emitting diodes are ordinary diodes. That is, their volt-ampere characteristics have all the same features as those shown for silicon and germanium diodes in Fig. 2-8. When ordinary diodes conduct in the forward direction, they just get hot. The energy dissipated in their forward resistance warms the diode. When LEDs conduct, most of the energy becomes heat, but a few percent of the energy is dissipated in the form of visible light. THIS DIODE SUN PREVENTS THE BATTERY ( 9 SILICON \ SOLAR CELL DIODES FROM ^DISCHARGING WHEN THE SUN SETS r VOLT BATTERY 3 LED J We usually Fig. 3-4 Silicon solar cells charging a battery. construction said in Section made from 1 that semiconductors are materials that have 4 elec- trons in the outer shell. For various physical 35 Fig 3-5 Assorted light emitting diodes. Note the diodes on the make up numbers and letters. reasons, silicon and germanium are the only pure right. They are arranged in the far infrared elements that work. heat. With LEDs made from various mixtures of aluminum and gallium (which both have 3 electrons in the outer shell) and phosphorus and are patterns to spectrum. Infrared light is just this characteristic frequency is high because the energy drop LEDs in is high and the re- sult is visible light. Coherent light arsenic (which both have 5 electrons in the outer When mixed together in the right proporelements produce a crystal that behaves as though its valence were the average of 3 and 5, which is 4. The energy difference between valence and conduction bands is large and it takes about 2 volts to turn on an LED. shell). Light emitting diodes can be designed to give laser light as well as pure light. Coherent means that the light waves do not interfere with each other, but stay in phase and do not disperse like ordinary light. tions, these four off coherent These laser diodes are used with flexible glass sending messages over long distances. Diode laseroptical fiber systems can carry so LED light LEDs is fibers for not only give off visible limited to one pure color. red, orange, yellow LEDs much light, the light are available in and green. Blue LEDs D. cliff that it fell off. copper tele- High Voltage Diodes have been discussing applications related forward characteristics of diodes. Now we are going to look at the backward characteristics of diodes. When a diode is back biased by a large voltage, eventually it will reach the zener breakdown voltage, often destroying the diode. To build a semiconductor diode for rectifying very high voltages, it is necessary to put many diodes to the to the height of The higher the cost that eventual- We Whenever an electron falls from the conducband down to the valence band, it gives off a fixed, tiny amount of energy for each electron that falls. Each little packet of released energy (a quantum), is an electromagnetic wave with a fretion the energy little phone lines and probably even microwave telephone links. Diode lasers and fiber optics are not yet used in avionics, but it is inevitable that they will be used in the future. exist, but aren't yet commercially practical. The reason for the pure colors is the exact difference in energy (voltage) between the valence band and the conduction band in these semiconducting mixtures of elements. quency (wavelength) proportional information for so ly these optical fibers will replace off- set voltage, the higher the frequency. sum of all the zener breakvoltages will be higher than the high volt- in series so that the For ordinary diodes these quanta produce low frequency, long wavelength "light" which is down age being 36 rectified. For example, the Varo VC50X silicon diode can tolerate over 5000 volts DC back biased but it requires over 15 volts forward voltage before it begins to turn on. From this we can conclude that it consists of about 25 silicon diodes in series. Each diode must be able to tolerate over 200 volts the power system becomes overloaded due to gen- power company sometimes reduces the voltage rather than cut off erator failure or hot weather, the the electricity entirely. When the line voltage drops, the power supply voltage drops with unless regulated. it is it, before zener breakdown occurs in order for the whole string to tolerate 5000 volts. Constant load There are three basic ways of regulating power supply voltage. Two of them, switching power supplies and saturable reactors, are complicated and don't directly involve zener diodes. The most common method of regulating voltage is to start with more voltage than you need and then burn up what you don't want in some sort of variable resistance. When voltage, sates the power company decreases the line the voltage regulator circuit compen- by decreasing the power dissipated in the resistance. This keeps the voltage across the load High voltage Fig. 3-6 By using a zener diode with a breakvoltage equal to the voltage desired across constant. silicon diode down the load, the zener diode can clamp (or clip) the load voltage to the zener breakdown voltage. In E. other words, the zener diode Zener Diodes is an automatic variable resistance. By increasing the amount of doping in the semiconductor that makes up a diode, the zener breakdown voltage can be decreased. In fact, the zener voltage can be designed to fall anywhere in the range of about 200 volts down to zero volts. Regulator characteristics An example shown back to Fig. 2-8 and you diode is P = the diode and is for regulating common at 100 is needed mA. The the load tries to rise higher than 12 volts, the zener breakdown occurs and clamps the voltage across the load to 12 volts. in the , Probably the most DC up exactly like the clipper circuits we discussed in Figs. 3-2 and 2-16. Whenever the voltage across As the unregulated supply voltage rises higher and higher, more and more current passes through the zener diode to hold the voltage across the zener diode constant. The resistor, Rj, is chosen so that, when the unregulated voltage is as low as it will ever get, (15 volts here) the zener diode will be just barely conducting in the zener Voltage regulator diodes is for a zener we will start with can vary anywhere from 20 to 15 volts DC. The zener regulator is set V Z where I z is the current through V z is the zener voltage. IZ symbol voltage in the voltage across the diode. Since the diode power dissipated circuit that will provide 12 volts the voltage is across a diode in zener breakdown. Whenever the zener voltage is reached, the back biased diode can conduct a great deal of current without a significant change law, the The Suppose a regulated power supply will see how constant must obey Ohm's of a zener diode regulator diode is like a regular diode but the cathode bar has been converted to a sort of "Z." diode is made large enough to stand the heat, these zener diodes can be used as clippers and voltage regulators, just as was described for If the stabistors. Refer in Fig. 3-7. use for zener power supply voltage. Holding power supply voltage constant is necessary because the power company does not always provide the standard 120 volts AC. When breakdown mode. 37 27Q AA/W > Ri UNREGULATED DC VOLTAGE ZENER CURRENT 11 TO 196 LOAD mA LOAD CURRENT VARIES FROM 15 TO 20 VOLTS 100 ZENER VOLTS DC REGULATED 12 RESISTANCE ,(120 Q OHMS) mA DIODE > A Fig. 3-7 zener diode in a power supply under 5 volts, stabistors are usually preferred because they have less internal resistance under For example, when Ri is 27 ohms, the voltage it will be 3 volts and the current through it will be 111 milliamperes. The load draws the 100 milliamperes it requires and the zener diode draws 11 milliamperes. across (15 - = 12 volts) 3 V = volts = I = Iz = I R I (27 the same operating conditions. F. Capacitance ohms) Any P-N junction 0.111 amperes I - Varactor and Step Recovery Diodes 100 diode has a certain amount of built-in capacitance. This is usually a nuisance mA = mA but varactor diodes are have high capacitance which changes with the voltage across them. This property allows tuned circuits to be tuned without any moving parts. Varactors are also useful to circuit designers, specifically designed to When the unregulated supply rises to 20 drop across the 27 ohm resistor is 8 volts. This means that the current through the resistor is now 296 milliamperes. It follows then that 100 milliamperes still go to the load and 196 milhamperes will heat up the zener diode. The volts, the power consumed by the zener diode vz = P = iz P = 2.35 watts for multiplying frequency. will be: (0.196 amp)(12 volts) A 3 watt, 1 2 volt zener diode should work fine in this circuit. Zener diode variety Zener diodes come in a huge variety of voltages and power handling capabilities; 200 volts down to 2 volts and 1/4 watt up to 20 watts. There is a zener diode available for practically any reasonable application. Unfortunately zener diodes look like any normal silicon diode. When replacing a zener diode, you have to look up the part number very carefully to be sure you have the right diode. For low voltage applications, A mechanical variable capacitor and the varactor diode which can replace it. Fig. 3^8 38 For example, if you had a 100 and wanted to convert it to a 200 MHz sive MHz signal MHz or 300 signal, a varactor multiplier is way to do this. Finally, an inexpen- varactors can even be used to amplify high frequency signals. They are widely used in avionics and help make complex designs reliable and small in size. SYMBOLS FOR VARACTORS When a P-N diode is back biased, the positive voltage on the N-type semiconductor attracts extra electrons out of the crystal matrix. On the other side of the junction the negative voltage is trying to push electrons into the holes in the 200- P-type semiconductor. The more voltage that is applied across the diode, the more electron charge that is pushed into the P side and pulled out of the N side. This process resembles the charging of a capacitor in which electrons are pulled off one metal plate and pushed onto the other metal VARACTOR VOLTAGE-CAPACITANCE CHARACTERISTICS 100- plate. IN 5476 . - **" IN 5470 I ' 10 ~~~ I i 20 30 In a capacitor, no current can pass directly from one plate to the other because of the dielectric insulation. If the applied voltage is suddenly removed from both the diode and capacitor, the charge has no easy way to rearrange itself. The REVERSE VOLTAGE Fig. 3-9 istic Varactor voltage-capacitance character- voltage and varactor symbols across the diode (or capacitor) change instantly. POINT IS GROUNDED BY THE MFD CAPACITOR AS FAR AS THE RF IS CONCERNED THIS »+ VOLTS DC .01 * WW 100 K < SOURCE OF .01 VARIABLE < RF INPUT TO L-C FILTER MFD DC VOLTAGE DC VOLTAGE TUNED L-C CIRCUIT /RF \LC EQUIVALENT L-C CIRCUIT USING MECHANICAL VARIABLE CAPACITOR Fig. 3-10 Varactor tuned L-C circuit 39 INPUT TO CIRCUIT can't to the voltage. Saying it another way, the capacitance is not constant and changes as the voltage changes. The higher the back bias volt- Varactor diodes are designed to exaggerate this peculiarity so that changing the voltage across them can control the capacitance. By varying a DC voltage which is back biased across a varactor diode, it can vary the capacitance as seen by a small RF (radio frequency) signal across the diode. This allows tuned circuits in radio equipment (L-C circuits) to be tuned by a DC voltage instead of by a clumsy mechanical capacitor or slug tuned coil. age, the lower the capacitance because, unlike metal plates in a capacitor, the number of holes and electrons in a diode is severely limited and and at high voltage they become used up. Half-wave rectifier In most high speed diode applications, this Since the diodes are back biased, they draw very little power and may be supplied with DC with rectification. being used as a half-wave rectifier at high frequency. If the diode can handle a large current, it usually has a physically large P-N junction which can store a lot of holes and built-in capacitance interferes Suppose a diode voltage through a very high resistance, typically 100,000 ohms. In fact, a single voltage line can be used to tune several separate tuned circuits simultaneously. is electrons. In a normal capacitor, the that a capacitor can store is amount of charge Every time the sine wave switches from minus (nonconducting) to plus (conducting), the directly related to the voltage by a constant, the capacitance. capacitance must first discharge voltage across the diode can drop. Q = CV, where and Q is the charge, C is the capacitance, V is before the The input sine wave pushes the charged diode below zero in voltage so that, instead of simple half-wave rectification with only positive half cycles in the output, the real diode produces negative recovery spikes which are below the zero axis. If the sine the voltage. wave frequency is very high and the recovery spike lasts very long, the diode will act like a capacitor and will not rectify at all. Diodes are not this linear. As seen in Fig. 3-9, the amount of charge is not directly proportional IDEAL DIODE Vr ) SINE A f\ WAVE INPUT > -> IDEAL HALF-WAVE OUTPUT REAL DIODE —T+r T i * I I ii L-| I REAL OUTPUT • |- J I > > -Jtf, REAL OUTPUT REVERSE RECOVERY TIME Fig. 3-11 How diode capacitance interferes with rectification at high frequencies. The negative pikes are caused by the capacitance discharging. 10 Notice in Fig. 3-11 how the negative "'error" in the half-wave rectified signal has about half the width of the positive half-wave cycle. If it were possible to select out these half wave negative spikes with a resonant tuned circuit, these negative spikes would make a frequency twice that of the input frequency because they are only half as wide. Eureka! We have just invented the varactor frequency multiplier. Some varactor multipliers can produce an output of 10 or 20 watts at microwave frequencies. The multiplication efficiency ranges from 70 to 80% at low frequencies to 10% at very high frequencies. All power that does not come out of the varactor as useful sine wave is wasted as heat. This heat must be dissipated by the varactor without the diode junction overheating. Non-linear devices Varactor multiplier or step recovery diode In general, the basic requirement of a A tuned tal varactor multiplier filter on the frequency, varactor f, makes left seen in Fig. 3-12. is A allows just the fundamen- The to pass through the diode. its quency multiplier "error" spikes because A second tuned A rate of change with time that defines it, f. on the f, i.e. right, is tuned signal twice the frequency of the fundamental pure sine wave has a certain fre- capac- maximum its frequen- wave is fed into some device that the sine wave by rectifying it, chopping maximum waveform will be increased and the new waveform will contain higher frequency components. Since any distortion is defined as non-linearity, any device that is non- so that only a 2f, not or altering the shape in any way, the rate of circuit, to twice the frequency of itance. distorts ing a poor job of half-wave rectifying the fun- damental sine wave, non-linearity, cy. If this sine do- it is is change linear can be fre- quency can get through to the output. The signal which appears on the output side is a sine wave at of the used as a frequency multiplier. Low Forward Resistance twice the original frequency. Varactors make good multipliers because they have low forward resistance so that they Varactors designed for use as multipliers, dissipate little power and are quite efficient. If sometimes called varactors had high internal resistance, the input step recover varactors, or step recovery diodes. signal energy would be converted to heat and we would have warm varactors and small 2f output especially large varactors, are "Step recovery" refers to the negative spike produced by the capacitance discharging. L-C FILTER L-C FILTER TUNED TO signals. Moreover, because of the capacitance, the F TUNED TO 2F A. * INPUT VOLTAGE v < N THIS PEAK IS TWICE THE INPUT FREQUENCY BECAUSE THE WIDTH IS ABOUT 1/2 Fig. 3-12 A varactor frequency multiplier 41 OUTPUT VOLTAGE varactor stores energy over most of the cycle so that it only passing current is through doing this become its re- on that sine wave sistance during a small fraction of the total time. Varactor amplifiers is also enlarged. For example, if the signal being amplified were a microwave relay of a TV signal, the microwave signal would be mixed with an unmodulated signal of the same frequency generated by the microwave receiver itself. The resulting signal would be an amplified version of Varactors can also be used as amplifiers. Amplifiers can start with a small high frequency voltage sine wave and make another that is like the first, but larger. How a varactor does this is a abstract, but don't panic. little not only does the RF sine wave but the modulation that is carried is that, larger, the input In the remote tuning application for varacDC bias on the varactor stays fairly constant so that the varactor capacitance appears constant, at least as far as the small RF signal is TV signal. PIN Diodes G. tors, the concerned. This small DC AC Voltage variable resistor We just saw that the varactor diode can serve signal "rides" on the can amplify, To explain how a varactor we must first think about what usually designed for use as a voltage variable would happen to the voltage across a capacitor resistor. It is large bias voltage. as a voltage variable capacitor. if the capacitance suddenly changed. commonly used The PIN diode is for controlling the signal level of very high frequency signals. Other PIN diode are used as high voltage rectifiers and as charge storage diodes which are used like varactors for harmonic frequency versions of the Suppose you had one of those chanical variable capacitors sitting clumsy meon a wooden desk, and let's suppose that it is charged to, say 10 volts. The capacitor is not connected to any circuit, so the amount of charge, Q, stored in the capacitor is fixed because it has nowhere to go. Now suppose you could reach over with insulated fingers and change the capacitance to half its original value, say 200 picofarads to 100 multipliers. METAL LEADS ATTACHED TO SEMICONDUCTOR P+ AND N + LAYERS ARE HEAVILY DOPED pico- amount of charge can't change and the capacitance is now half, the voltage must become twice as high. farads. Since the First: then Q = CV = later: Q = 3 (200 pfd)(10 volts) PURE INTRINSIC SEMICONDUCTOR (1/2C) (2V) = (100 pfd)(20 volts) Fig. 3-13 This is like PIN diode internal structure squeezing a balloon. The amount So when the squeezed, the air is forced into a smaller volume. In other words, the volume capacity of the balloon is decreased. The price that must be paid for compressing the air is higher pressure inside the balloon. This is analogous to increased of air inside the balloon is fixed. balloon The PIN diode is "electrical pressure" which of course is (all capital letters) is named for its internal structure. It consists of a heavily doped P+ layer, a central layer of pure, intrinsic semiconductor, and a layer of heavily doped type semiconductor. N+ voltage. Heavily doped semiconductor conducts quite and if there were no central layer of pure semiconductor, the device would act like a zener diode with a zener breakdown of zero volts. When Amplification with varactors is accomplished by mixing the signal to be amplified with a second signal that has the same frequency but differs from the first in phase. This second signal has the effect of abruptly changing the capacitance of the varactor during each half cycle so that the voltage abruptly rises. The point of well voltage is applied to the PIN diode, holes and electrons are pushed into the pure semiconductor layer to establish a temporary, conventional P-N junction diode in the center. 42 However, if the middle intrinsic layer is quency wide, of the audio modulation. This signal is then passed on to the audio amplifier and loud- the transition between reverse bias cutoff and forward bias conduction is gradual instead of abrupt as it is in a conventional diode. speaker. When back biased, a typical PIN diode has a resistance of 8000 ohms. But, as more and more forward bias voltage is applied, this resistance drops gradually to about 1 ohm. By adjusting the level of a DC bias voltage, the resistance of the PIN diode can be adjusted to anywhere in this range. The small AC signal which is being controlled rides on top of this DC level. The resistance encountered by the small signal depends on the DC bias level. This same signal is also fed to a second low pass filter which averages (integrates) the signal level over a few seconds to make a very slowly varying DC signal which is proportional to the overall signal strength. This signal is then amplified and used to forward bias the PIN diode variable resistor. So if the average signal strength drops over a period of one or two seconds, the gain (volume) compensate to Because so much charge has to be pushed inand pulled out of the central layer, this diode H. has a very large recovery time, much like a varactor diode. Because of this, it responds too slowly to rectify signals at high frequencies. So, from the point of view of a high frequency radio signal, the PIN diode is a variable resistor, not a rectifier. A typical application for PIN diodes is in automatic gain control circuits (AGCs). Modern radio receivers, even the smallest transistor radios, have an automatic gain control circuit which tries to hold the signal level constant. Simple radios rarely use PIN diodes for this. PIN diode AGCs are more common in fancy avionics AM Schottky or CATHODE PIN diode AGC, let in PIN DC signal is diode to turn it DC signal forward As Schottky diode symbol Silicon Schottky diodes conduct at 0.2 to 0.4 on just enough to the correct signal strength. ANODE Silicon Schottky diodes proportional to the strength of the incoming radio signal. This biases the a HCD Diodes %} Fig. 3-14 receivers. is slowly increased to Schottky barrier diodes are sometimes called hot carrier diodes (HCDs). These are semiconductor diodes made from a metal anode, fused directly to a semiconductor cathode. Schottky diodes have very low capacitance, high switching speed, less reverse leakage current, produce less radio noise, and even have a smaller forward conduction voltage than conventional P-N diodes. AGCs To build a generated that is for the drop. volts instead of the usual 0.6 volts. the radio preferred for signal becomes weaker, the DC bias level is increased so that more and more radio signal is allowed into the intermediate frequency (IF) amplifiers. This keeps the signal level coming out of the loudspeaker relatively constant so that you do not have to be continually adjusting the volume. many very tions such as mixers They are high frequency applica- and detectors. HCD construction Hot carrier diodes take advantage of a "pro- blem" that formerly plagued designers building integrated circuits. Aluminum and gold are easy metals to use for printing miniature wires on The problem arises because silicon wafers. aluminum has a valence of plus 3. When it is bonded to N-type or pure semiconductor, some of the aluminum atoms diffuse into the silicon and The DC signal which biases the PIN diode is usually derived from the detector circuit. In Secyou learned that the output of an AM is fed to a low pass filter which removes the radio frequency component. The signal emerging from the low pass filter is a DC signal which varies up and down in amplitude at the fretion 2 detector convert it into P-type silicon. This produces an unintentional wanted. 43 P-N junction where none was When gold and other metals are pressed against semiconductor, a similar P-N junction is formed but the exact mechanism is not as easy to Anytime metals, especially aluminum, are fused or bonded to semiconductor, there is a possibility that some sort of non-linear diode junction will be formed. When a diode junction is not wanted, it can be prevented by adding an intype termediate layer of heavily doped semiconductor between the metal and the semiconductor layer that the wire is supposed to connect. The extra N-type doping donates enough electrons to fill in any holes that may be contributed by the metal atoms diffusing into the explain. In fact, the diode used in early crystal set radios was lump a of semiconductor with a metal "cat whisker" pressed against The P layer in a Schottky diode that there are very few holes. the diode N+ it. is As is so small a result, when conducting, the electrons from the N semiconductor pass almost directly into the metal without passing through an extensive P region. Because the P side of the junction is so tiny, very little charge is stored in the vicinity of when the P-N junction the diode is semiconductor. For this reason, Schottky diodes are usually made from three layers: the aluminum (or gold) layer which is the anode, the pure or N-type semiconductor layer in which the P-N junction is formed, and finally an N+ layer which is an intermediary between the metal lead and the semiconductor cathode. Without the N+ layer, the Schottky diode would have two diode junctions in series oriented cathode to cathode. back-biased. This accounts for the extremely low capacitance of Schottky diodes. GOLD WHISKER GLASS CASE FUSED TO SEMICONDUCTOR CATHODE ANODE -VERY THIN LAYER OF PURE should probably explain the term "hot P region is is so tiny in these almost 100% elec- There are many free electrons available in both the N-type semiconductor and the metal. Some of these are moving around due to thermal agitation, but they can't cross the P-N barrier without forward voltage. trons. ALUMINUM ANODE £ We diodes, the current carrier DIFFUSE INTO THIS LAYER N+ carrier carrier." Since the SEMICONDUCTOR P AND N IMPURITIES CATHODE Hot ANODE When forward bias is applied, the electrons that cross the barrier have a velocity higher than the electrons that were freed by heat but were -COPPER LEADS- unable to cross the barrier. Since the current carrying electrons are moving faster, it is as though they were hotter. Therefore these forward conduction electrons are called "hot carriers." r — GLASS \ INSULATING V LAYER ALUMINUM CATHODE /. This strange P-N junction diode can oscillate (make sine waves) at extremely high frequencies (10,000 MHz), amplify weak high frequency signals, and is used to build extremely fast logic circuits. It can even be used to rectify very low voltages which are less than the forward break- ALUMINUM ANODE zzzzzzzzzzzzz -N+ REGION PREVENTS A SECOND DIODE JUNCTION The Tunnel Diode DIODE JUNCTION IS HERE down voltage of conventional diodes. However, when used as a Fig. 3-15 Three different examples of Schottky polarity is rectifier, the P-N the reverse of the standard P-N diode. There seems to be diode construction. 44 little agreement about what e TUNNEL RECTIFIER Fig. 3-16 Tunnel diode circuit symbols. All are equivalent except the last signify that the tunnel diode circuit is being used as a symbol which symbol should represent the tunnel diode, first three symbols in Fig. 3-16 are the With a little forward voltage for encouragement, say 0.05 volts, a significant current can flow in this manner, anywhere from 1 to 100 milliamperes. This phenomenon is called tunneling under the barrier, hence the name. Impurity concentration In a conventional diode the semiconductor P N regions have a very low impurity concentration, approximately 1 atom of impurity for every ten million atoms of crystal. By keeping the concentration of electrons and holes low, it takes a large voltage to break down the diode in the reverse direction. and As still more forward voltage to zero is applied, say 0.3 volts, the short cut tunnel under the barrier becomes clogged by too many go through at once. For silicon, at a voltage of 0.4 carriers trying to volts, the tunnel current is cut off As we know, it takes a small but significant voltage to make it conduct in the forward direction. As more and more impurity is added, it becomes easier and easier to break down the diode in the reverse direction. At an impurity confall to able to sneak through the crystal matrix simply most common. voltage will supposed by random motion, even though they do not have the necessary energy to go over the barrier. but the centration of about one is rectifier. almost entirely. However, as the voltage is increased still farnormal barrier voltage is exceeded and ther, the the diode conducts like a conventional forward biased diode. This crude explanation of tunneling is inadequate, but the author's opinion is that a complete explanation of the physics is even less atom in 1000, the zener and the diode becomes useless for any conventional diode applications. satisfying! Volt-ampere characteristics FORWARD NEGATIVE RESISTANCE REGION + Tunneling CONDUCTION REGION 1 Heavily doped diodes like this have a strange forward current volt-ampere characteristic that makes them useful. To begin with, the built-in forward voltage barrier, 0.6 volts for silicon and 0.2 volts for germanium is still about the same. -V ZENER allows small amounts new phenomenon CHARACTERISTICS (GALLIUM ARSENIDE DEVICE) of current to pass through or under the forward offset voltage barrier. There are so "many" extra electrons and holes looking -I at each other across the voltage barrier that there is TYPICAL TUNNEL DIODE ZERO VOLTS- that a high probability that a few of them will .35 MILLIVOLTS BREAKDOWN OCCURS AT However, at voltages between zero and 0.6 volts for silicon, there is a +V .05 Fig. 3-17 be nel diode 45 Volt-ampere characteristics of the tun- to filter it with a low pass filter before it is direct current with no alternating current component. What we really had was a mixture of alternating Negative resistance The volt-ampere curve for a typical tunnel seen in Fig. 3-17. Notice that the diode practically looks like a short circuit when it is reverse biased. The most interesting part of the curve is the S-shaped curve between zero and the forward conduction region. diode current and direct current. is High pass Suppose extract the The posite of ordinary resistors in which increasing some reason we had wanted to Although currents can pass one direction and then in the other, in the long run the average direct current passing through the capacitor will always be zero. inside the capacitor. voltage produces increasing current. Because of this S-shaped characteristic, one current level can into be produced by three different voltages. I wonder what George Simon Ohm would think of that!? it, AC Tunnel Diode Oscillators first in Waveform Generation In electronics whenever an AC waveform must be generated, it is usually done by switching DC on and off to make DC pulses. The pulses are then passed through some sort of high pass filter to make AC. Oscillators in general Before we can discuss how tunnel diode oswork, we have to discuss oscillators in cillators make alternating current. Or, make currents that alternate between positive and negative, they at least make a general. Oscillators if for AC component instead of the DC com- ponent. This can be done by using a high pass filter instead of a low pass filter. This is illustrated in Fig. 3-18. In the R-C high pass filter, direct current can't pass through the insulation central region where increasing voltage produces decreasing current is called the negative resistance region. This region behaves the op- J. filter they don't Actually, leaving the DC signal riding on a current or voltage that varies in amplitude and which can be converted to an alternating cur- Most pass AC in the form of an AC signal is quite convenient. and electronic devices are diodes and can only conduct DC currents. rent. Low DC transistors Sometimes complex filter AC signals, such as a like TV picture signal, can go through the entire receiving process and be projected onto the CRT screen without ever actually being converted to "of- For example, you are already familiar with The output of such a rectifier half-wave rectifiers. a series of half cycles of the original is waveform. Since ity, we all AC ficial" these pulses have one polar- call it "direct current." 100% alternating positive half of the signal However, we have is current where the equally balanced with the negative half of the signal. + V|N +v WL. > -> DC CURRENT THROUGH CAPACITOR IS ZERO > Fig. 3-18 High pass I •> filter showing how 46 DC pulses can be converted to AC DCin > +v "> +V ELECTRONIC SWITCH t > Fig. 3-19 Another way to look at "> Basic elements of an this is to say that the zero voltage has been redefined so that zero "zero" for the AC DC or signal. current! The second part of the inconsistency is that a low energy state must be able to stimulate the device to produce a high energy state. And conversely, a high energy state must stimulate the device to turn off or produce a low energy state. Let's see how these ideas apply to the tunnel Linear and nonlinear resistors Now and AC that we have established that pulsed are interchangeable, we can narrow the basic issue: what switches the DC on DC in on and off circuit Look at the volt-ampere characteristic for the tunnel diode and you will see that as many as three different voltages can be related to the same is ac- some other convenient This concept of a signal having two components, a DC component and an AC component, is very important and will give rise to endless confusion if you don't have it clear in your mind. tually plus 5 volts AC generating diode oscillator. Tunnel diode oscillator circuit into pulses? All electronic devices that can be used as oscillators have two basic states, turned on and turned off. In order to be suitable for oscillators, they must also have an inconsistency, so that, when they are turned on they will change their behavior and try to turn themselves back off. When they are turned off, they will change again and try to turn themselves back on. It is like letting the dog out. He immediately wants to come back in! we when was The tunnel diode oscillator circuit shown in Fig. 3-20 is a practical circuit in every respect ex- cept for the battery. 0.12 volt batteries are hard to find. Usually the voltage source is made from a higher voltage source which is divided down with resistors and made stable with large capacitors across it. L-C circuit linear All electronic oscillators contain an energy volt-ampere characteristic is plotted, it is a straight line. When the voltampere characteristic of an ordinary diode is plotted, it is not a straight line and therefore it is nonlinear. But, even though the diode characteristic is complicated, there is no instance where a given voltage can be related to more than one cur- storage element. This can be an inductor, a capacitor, or both. The energy storage element determines the rate at which the electronic switch rent. bell. Earlier because, In all oscillate, real said that a resistor its devices that can be made switches on and off. The tunnel diode oscillator uses a resonant L-C circuit. L-C circuits can be compared to a is struck with the clapper, the bell vibrates with a distinct sound frequency. In order to make an oscillator based on an L-C resonant circuit, pulses must be generated which keep "striking" the L-C circuit so that the oscillation will be continous. Parallel to a current through the device can be caused by more than one voltage. Or, a voltage level can cause two or more current levels. This is part of the inconsistency we were talking about. 47 When the bell Vin TINY AC SIGNAL RIDING ON * DC DC SIGNAL rwwwm 0.12 0.12 Rload __ VOLT t Vq UT- 4 LC RESONANT FILTER DETERMINES FREQUENCY Tunnel diode oscillator Fig. 3-20 the peak, point A. In order to generate the current pulses to make circuit the tunnel circuit oscillate, the load resistor the capacitor is Every time the voltage across low, the current is turned back on wave and voltage source must be carefully chosen so to charge that the tunnel diode cycle, a pulse of current is injected into the is forced to operate in its region of inconsistency. For example, if we used it up again. So, during every sine L-C circuit to sustain the oscillation. a and a 50 ohm resistor, the curwould flow would be far into the forward conduction region of the diode where its 10 volt battery rents that behavior is like + 1 CURRENT an ordinary diode. DC QUIESCENT -POINT When the proper tiny voltage source and load CURRENT WAVEFORM resistance are used, the diode can be forced to operate in the center of the negative resistance Adjusting the average region. DC voltage on an electronic device to in some current and make operate it special part of its characteristic is called VOLTAGE biasing. Sine wave FVg, assume Let's - "ringing' that the L-C circuit is already we just need to susThe voltage across a ringing wave. This sine wave is added or oscillating and tain the oscillation. L-C circuit is a sine to and subt acted from the operating DC voltage (bias) which is in the center of the negative resistance region, point B. If there were no oscillation, the circuit would tend to "rest" at point H and this is why an operating point like this is sometimes called the quiescent point. Linear negative resistance Let's explain tunnel diode oscillators again with a different approach. Earlier we said that all devices which can be used as oscillators must have two or more operating points that can be related to the literally \> the sine diode off wave voltage because very rises, little it turns the current wave voltage falls, on because the current is high same voltage because all or current. This real devices fit is this definition. However, if there were a device that had negative resistance over its entire voltampere characteristic, this device could be made to oscillate because negative resistance itself is inconsistent behavior. Low voltage, by definition, means low potential energy, but with negatixe linear negative resistance region. \^ the sine dirnle true Dows through the diode in the vicinity of the "vallej point." point C, which is at the high voltage end ot the Tunnel diode oscillator operating char- .V-1'7 acteristics it turns the at the top of l^ resistance, low voltage causes a large current to flow. The curve is steep, so that a small change in voltage will produce a big change in current. The large change in current will in turn produce a large change in the voltage across the load resistance. the diode to drop. A large current represents energy which can increase the voltage across an energy storage device, such as the L-C circuit. Once the voltage rises, the current is turned Since the L-C circuit has no source of energy other than the tunnel diode, the voltage across the L-C circuit eventually must fall again as its energy is dissipated in the load resistance. This is off. throwing a like eventually falling it down up ball will in the air. You know part up that have to come back down, so the automatic. Since the nega- is tive resistance property "automatically" the ball back The in the air, throws sustained oscillation circuit for the tunnel diode amplifier is almost identical to that for the tunnel diode oscillator (Fig. 3-20) except that the two wires shown as the output also serve as the input for an amplifier. Tunnel diode amplifiers are used at microwave frequencies and a circuit diagram does not tell you much unless you understand microwaves. is inevitable. Waveguides Because the voltages across a tunnel diode wave signal that is produced Microwaves are such high radio frequencies are so small, the sine is also tiny. 0.07 volts peak-to-peak is typical. chokes. That This is such a tiny signal that it hardly seems worth the trouble. However, tunnel diodes operate well at extremely high microwave frequencies where transistors work poorly. The tunnel diode can also be used as an The diode is provided with a voltage source and load resistance that will again make it operate in the negative resistance region. The amplifier. signal to be amplified form of a tiny in the is AC is, act like radio frequency wires conduct microwave signals wires very poorly. Since ordinary wires can't be used, the signals are conducted through microwave circuits using coaxial transmission lines or even silver-plated pipes called waveguides. Microwave signals are conducted down waveguides in the form of actual radio waves. A resonant circuit for use with a waveguide system looks like a silverplated tin can with bolts which screw in and out to adjust the resonant frequency. Tunnel Diode Amplifiers K. ordinary that applied across the diode Reflectance amplifier voltage. The tunnel diode As the input voltage increases, the voltage amplifier is a reflectance waveguide version, the diode is the end of a silver plated pipe. The amplifier. In the across the diode will cause the current through mounted at is transmitted down dead-end tunnel and reflects off the diode, radar signal to be amplified this + much I OUTPUT CURRENT like a flashlight reflecting off a mirror. Unlike the flashlight reflection, the signal is "brighter" (larger) than the original signal. This is because the current passing through the diode is bigger than it would have been for a given amount of voltage had the diode just been a lump of inert that returns from this "mirror" metal. The input signal and the amplified output signal are separated from each other by means of a central chamber or a block of exotic magnetic material called a circulator. If it were not for the circulator and the fact that it is operating at Fig. 3-22 microwave frequencies, none even be worth the trouble! Tunnel diode amplification or 49 of this would work USUALLY THINNER THE CENTER Tunnel diode construction IN Tunnel diodes used for oscillators or amare made from either germanium or gallium arsenide. Gallium arsenide tunnel diodes have twice the voltage swing of germanium diodes. They are preferred for oscillators because the output signal can be larger. / plifiers CONTACTS PIECE OF GALLIUM ARSENIDE Tunnel Rectifiers L. TIN SEMICONDUCTOR Silicon tunnel diodes Silicon oscillators Fig. 3-22 do not make good or amplifiers and do not have a protunnel diodes nounced tunneling current peak. Silicon tunnel diodes are used for rectifiers for very low AC The tunneling voltages, less than 0.6 volts. rent peak is so low, less than mA, 1 cur- that this can zener breakdown of zero volts. For tifiers, tunnel diode rectifiers are this reason, backward diodes. Using tunnel a rectifying transition rec- exactly zero at diode construction new, high energy state where they lose their mobility. They are no longer able to conduct through the material when they are in this high energy state, so the resistance of the semiconductor increases as the voltage across it increases. This process sounds something like valence band electrons being kicked up into the conduction bana, but physicists never call it that, and it is a different phenomenon. The diode shows negative resistance because increasing voltage produces decreasing current. approximate being turned off. The "forward" conducting state of the silicon tunnel rectifier is really its backward characteristic which has a also called Gunn However, the low "backward" breakdown voltage (0.6 volts) and the volts can be achieved. large leakage current, mA. make 1 this diode far from perfect. Gunn Diodes M. Gunn J.B. diodes are w named Gunn. They are used after their inventor, 5 < <J a for generating micro- wave radio signals at extremely high frequencies, up to 35,000 MHz. In one respect they are comparable to a tunnel diode: characteristic includes a their segment NEGATIVE RESISTANCE REGION 4. ui BE UI Q. 2-| volt-ampere of its curve that has negative resistance. By proper biasing the Gunn diode can be made to oscillate or amplify. 50 100 150 200 250 DC VOLTS Gunn diodes do not have a deliberate P-N junction like other diodes and they make lousy Fig. 3-24 one way valves. They are simply a piece of N-type gallium arsenide (GaAs) semiconductor with two Volt-ampere characteristics for a Gunn diode wire leads attached. Gunn As you can see. a typical Gunn diode is biased with hundreds of volts, and large currents (amperes) flow through it. It should not be sur- volt-ampere characteristics mm When very high voltage (500 volts per of semiconductor) is applied across this particular semiconductor, the conduction electrons gain a great deal of energy and are "transferred" up to a Gunn diodes become very hot and must be cooled with refrigeration machinery to keep them from being destroyed by high temperature. Over 100 watts of microwave prising that frequently 50 power can be generated by a Gunn diode, but even with refrigeration it must be pulsed mittantly to keep from burning it up. 7. Using a zener diode, design a DC voltage regulator which will supply 5 volts at 100 milliamperes. The average voltage from a inter- wave rectifier and low pass filter may vary anywhere from 6 volts up to 10 volts full There are still other diodes that are used to generate microwaves. These include the IMPact Avalanche and Transit Time (IMPATT) diodes, and a number of devices made by combining Gunn diodes and IMPATT diodes with Schottky diodes. These devices are difficult to cover in detail without a good background in microwave DC. Calculate the zener breakdown 8. circuits. An Compare varactor diodes with capacitors. How must varactors be biased to behave as capacitors in tuned circuits? QUESTIONS: 1. voltage, the resistance of the voltage dropping resistor, and the power dissipation of the zener diode. How does the capacitance change with voltage? equivalent circuit for a real silicon diode shown (not a solar cell) is in Fig. 3-1. The 9. cir- What is the essential characteristic that a must have for use as a frequency multiplier? Have we studied any other de- cuit contains a battery device out that this provide energy. Explain why not. Is there energy stored in the "battery?" Looking vices that and the text points "battery" cannot be used to diagram closely at the other reason is there in Fig. why 3-1, what 10. the "battery" How are did may PIN be used for this purpose? diodes get their name? for PIN diodes? What two major uses can't be used to provide current? 2. 11. A stabistor is used in a clipper circuit to clip off the peaks of a sine wave at about 4.2 How many volts. diode junctions are inside this silicon stabistor? 3. What do tifiers, stabistors, high voltage diode rec- and a panel In what ways are light emitting diodes High voltage silicon diodes are ward 6. What does this a Schottky barrier diode construcfrom conventional diodes? What are its advantages over conventional diodes? What do 13. Why is a zener diode and a tunnel diode are the two most common? What in diode?" uses for tunnel diodes? a tunnel rectifier called a "backward What are tunnel rectifiers good for? made from strings of several diodes in series. this necessary? different common common? similar to silicon solar cells? 5. is tion have of silicon solar cells (used to charge a battery) have in 4. 12. How Why do to the 14. is for- What do tunnel diodes and Gunn have in common? Suppose you were diodes design- ing a radar system and had to choose between using a Gunn diode and a tunnel diode for an oscillator to provide microwave power at 10,000 MHz. What are the relative advantages of one device over the other? offset voltage? The zener breakdown voltage can be designed to fall anywhere in the range of zero to 200 volts. What parameter controls this? 51 SECTION IV Transistors and Other Electronic Control Devices The British call vacuum tubes "valves", a very good description of both tubes and transistors. The purpose of both of these devices is to enable a very small amount of electricity to control a very large amount of electricity. 1. A perfect switch (zero resistance) Able to turn completely on and completely off (infinite - resistance). 2. Unlimited gain - An infinitesimal amount of control electricity (voltage or current) should A water faucet is a good analogy to a tranbecause the input signal only operates on the "handle." A person turning the handle has no direct connection with the water pipes and water reservoir. The faucet can turn water full on, full off or anywhere in between. In electronic control turn the device sistor 3. devices, a small voltage or current takes the place all the way on or off. When used with negative feedback to produce a finite gain, the output signals should be a proportional, perfect copy of the input signals. Perfect linearity - of the person turning the handle. We 4. started our discussion on diodes with the ideal diode. We said that ideal diodes don't exist Complete input-output must have no isolation - The output influence on the input signal and the input signal should control the output signal in only the desired manner. but available diodes can be used as if they were ideal with good results. We also showed how the inherent "defects" in real diodes such as zener breakdown and forward offset voltages can be used to advantage. We will use the idea of an "ideal control device" as a standard of com- 5. and unlimited slew able to follow any should be The device Infinitely fast switching rate - input signal of any frequency. parison for real control devices. A. 6. The Ideal Control Device The ideal control device, of course, does not the voltage which happens to be across the output side of the device or the current that is function would be more complicated than a diode and there would be disagreement about the properties for such a "perfect" device because the "defects" can also be useful. Most experts would probably include the following features: exist. Perfect current source or voltage source output - This means that the gain of the device will be constant and will not be effected by Also, its flowing through the device. These six characteristics are very abstract and we will now explain them. 53 1. sistance. The less heat that is generated, the more devices that can be packaged in a small space without the semiconductor material overheating. Perfect switching obvious that if you want to turn a curit completely off and not just nearly off. The reasons for this are accuracy and power dissipation. Suppose the current through a device is supposed to represent some value, like "miles per hour." It is inaccurate if the device passes a current representing 3 miles per hour when the car is standing still and the current should be zero. Second, a leaking device wastes energy and generates heat. It is rent off, you want When on, it is 2. The device must be able to turn a large voltage or current on and off in response to a very small current or voltage. An analogy might be the head gate on a across a large river. Since is turning a head gate wheel. It would be more likely that he would do this by flipping a switch in the control room. the transistor or control device turns The reasons are again accuracy and power dissipation. When turned on, the device should have zero volts across it and this can't happen unless the on resistance is zero. The largest currents flow through the device when it is turned "on" and any resistance that the device may have will cause the device to heat up as the voltage is dissipated across the reclose to zero as possible. A dam dam a great deal of mechanical advantage in the machinery that opens the flood gates, a single man can turn a very large river on and off just by there desirable to have the "on" resistance as Fig. 4-1 Gain To make the analogy more like a transistor, have the head gate opened and closed by a water wheel driven by a small brook sized ditch. With such a mechanism a small flow of water, say a few gallons per second can turn off and on thousands of gallons of water flow per second. let's as an analogy for an electronic control device. 54 a. Current gain illustrates voltage gain and typically have gains of one you are wondering, operational amplifiers achieve this high gain by put- A ting several transistors in series so that one tran- finite million or more. In case This the concept of gain or few gallons of flow change in the ditch makes thousands of gallons flow change in the river. This would be a "water current gain" of thousands. In the case of high gain transistors, a few milliamperes of control current will typically cause 100 times as much current to flow through the transistor. The electrical current gain would be 100 in such a transistor. amplification. and so input control current b. gain. device output Voltage gain The gain 3. of an electrical control device is not always expressed as current gain. Some control vacuum tubes or field effect transistors draw so little current on the control input, it is more appropriate to define the gain in terms of the voltage across the output divided by the voltage on the input. voltage gain output voltage = = control input X gain Amplification We said earlier that the perfect switch should be able to turn the current completely on or completely off. In many applications we need to have the valve perform as a variable resistor, i.e., "half-on." If your shower faucet had only the "on" and "off" positions, you would probably stop taking showers. The ideal device should follow the control input perfectly. devices, such as that on another, which turns on a third on. In later chapters we will show that an extremely high gain can be shunted with a negative feedback resistance to produce any lesser finite gain that might be needed as well as other advantages. For now we will assume that all device gains are some finite number, say from 1 to 1000 and that the output will equal the input times the output current = current gain sistor turns input control voltage c. In other words, the gain equation above would always be true no matter what the input was. Saying this another way, the gain would always be constant and the equation above (output = input X gain) would be a linear, first order Power gain Another kind of gain is power gain. Since power = current times voltage, the power gain would be: power gain = output voltage — ; mput voltage X X equation. output current Beginners in electronics frequently have a input current hang up about amplification. fication as a sort of signal These are the three commonly used kinds of which one you mean when talking about gain. Notice that voltage gain or current gain can be very low (1 or even less) and still yield a very high power gain. picture ampli- comparable to inflating a balloon. The notion that the original signal "gets bigger" interferes with understanding how the amplifier works. gain. It is important to specify d. They enlargement process They understand that a small signal enters Operational amplifiers the input of an amplifier and that a large signal comes out. For some reason, they can't get it in How much signal. their heads that the output is not the original The little signal was not inflated by the amplifier. The input signal merely turns the flood gain would be ideal for a control device? This is a philosophical question, but probably the best answer is that the gain should be infinite. In our analogy this could be approximated by having a raindrop fall on the water wheel and turn on the river. gate on and off. If the fluctuations in the river flow happen to resemble the fluctuations in the flow in the little control ditch, then the amplifier is said to be linear and the output is said to have low distortion. The original signal is dead and gone. Only the big representation emerges from This doesn't sound very practical, but operational amplifiers are designed to approximate in- the output. 55 4. Input The Frequently, a fast computer can replace a much more complicated, slow computer simply because it has time to perform calculations using output isolation control ideal device should be well more tedious method. Suppose one computer uses 16 bit numbers but is very slow. A simple, fast 4 bit computer may be able to do more work to the same precision, even though it must use many more steps to work out the answers to 16 a between the control signal and the main isolated stream - it is means that fluctuamain stream should have no effect controlling. This tions in the whatever on the current in the control ditch. Imagine the chaos that might result if water splashing up from the river were to fall on the water wheel or control ditch. The river might turn itself on or off with no regard for the small current in the ditch. If turning the river on and off were to cause the splashing that was turning the river on and off, the oscillation would be self- bits. perpetuating. is, its 6. Power dissipation A second reason that high switching speed is important is power dissipation. When a switch is full on (closed), it looks like a short circuit. That resistance resistance in This is The power dissipated is zero. P = I 2 in a R. a serious problem in real amplifiers, So P especially high gain amplifiers. Capacitive coupl- = I 2 (0) = 0. ing can cause positive feedback between the out- This means there put and the input and cause the amplifier to oscillate by itself An example is no heat and no power dissipated, at least not in the switching device itself. of positive feedback occurs when microphone is placed too near to the loudspeaker of a public address system and the system whistles and howls. Like most problems, feedback oscillation can be put to good use. Most and other the switch is full off, its resistance is Since current can't flow through infinite resistance, the current is zero so, a oscillators in radios, transmitters, When infinite. p = cir- c. (0)2 ( oo ) = o. Heat cuits are essentially amplifiers that amplify their own 5. Again, no power is dissipated. In between the time that a control device is full on and full off, it must be half on, right? This means that both R and I are finite and will produce a finite power— in other words, heat. The slower the switching time the longer the time interval when it dissipates power and the more the device will heat up. If a transistor is unable to get rid of the heat that is developed inside it, its temperature will rise until eventually it outputs. High switching speed and slew If the circuit is rate being used as a switch, it is desirable to have the device turn on or off instan- taneously, as soon as the control signal appears on the control wire. But, of course, none of the real devices are able to do this. The switching delay is caused by the circuit as a whole just as much as it is by the characteristics fails. of the device Present transistor circuits need anywhere from one nanosecond to several microseconds to itself. Usually transistor failures are quite boring. transistor just stops working. When you test it out of the circuit with an ohm meter you often find that all three leads have shorted together internally. On rare occasions a transistor can fail so suddenly due to overheating that it explodes and shoots its innards right out through its case. The switch. a. Speed Fast switching time is three reasons. First, time important for at least money. A computer is can only work as fast as its individual transistors switch on and off. The length of time that it takes to do a calculation is literally the sum of all Large transistors are physically better at conducting the heat away, so they are less likely the necessary switching times and circuit delays the computer. to fail. However, as a rule, the larger the device, the slower the switching speed, so this is a vicious circle with the bank account the loser. in 56 Finally, switching speed is important because high speed information can be lost or garbled if the device is not able to keep up with the input signal. be a constant for a given amplifier or for the condevices that make up amplifiers. This number, the gain-bandwidth product, is a useful way trol and compare their performance high frequencies. Basically, the gainbandwidth product equals that frequency at which the gain is one. to rate amplifiers at d. Slew rate In analog amplifiers, which are supposed to amplify a continuously varying signal, the equivalent parameter to switching speed is slew rate. Suppose a HI-FI amplifier were amplifying a Mozart concerto and during one particular instant the input voltage changed from 0.1 volt to 0.2 volt in just 50 microseconds. If the voltage gain were 100, the output would be expected to swing from 10 volts up to 20 volts in 50 microseconds too. This represents a slew rate of 0.2 volts per microsecond. If the amplifier For example, suppose that a given amplifier unable to increase the size of any signal which has a frequency greater than 10,000,000 Hz. That is, the gain-bandwidth product is 10,000,000. It might very well be that at a frequency of 1,000,000 Hz that the gain is 10, since 10 times is 1,000,000 that sume 10,000,000, If we control are talking about a is TV picture ampli- become blurry device looks like a variable passing through nearly always dissipating power. Gain - the if is a. Voltage source probably the easiest to visualize because it can be thought of as an infinitely large battery. No matter how much current you draw from a perfect voltage source, the voltage remains constant. resistor it, so it is bandwidth product Suppose you had a "perfect" 12 volt voltage Since an ideal control device would be finitely Current source or voltage source outputs The concepts of current sources and voltage sources are very useful and important, but hard to become accustomed to. The voltage source is too slow. In an analog amplifier, the whenever the signal 6. 7. will the picture will literally amplifier is 1 Hz, the gain will be because real devices seldom have has a slew rate equal to or be no loss of high frequency sounds. If the slew rate is slower than needed to keep up with the input, then the quick transitions will be blurred or lost by the amplifier. The amplifier performance will be "low fidelity." fier, 10,000,000. However, you can't as- the frequency gains that high. better than this, the output will follow the input and there is if fast and would have infinite gain, source for a car battery. One cold January morning your neighbor asks you to help him start his car using jumper cables. With a perfect voltage init stands to reason that when gain is multiplied times the highest frequency it can follow, the product would be unlimited. In real devices there is usually a trade-off between gain and high frequency. source you could not only start his car, you could start every other car in the universe simultaneously. The perfect voltage source would maintain 12 volts across any resistance load, even zero In other words, the higher the frequency you to feed into the control device, the less amplification that comes out of it because it is unable to keep up with the input. As the frequency is increased with any amplifier, eventually you will reach a frequency at which the variations in the output have no greater amplitude than the Another way to look at this is that the perfect battery would have zero internal resistance. Real batteries always have a distributed resistance, R, resistance. try inside them. variations in the input. The observed current gain When a heavy load (a low resistance) placed across a real battery, there is always a voltage drop across the internal battery resistance. The battery becomes hot because the resistance dissipates power. Real batteries act as though they had a perfect voltage source inside them, but the voltage source can never be sepais or voltage gain multiplied times the operating frequency tends to rated cw away from the internal resistance. problem passing a certain current through zero resistance loads. Their departure from ideal occurs with very high resistance loads. RL = A SHORT CIRCUIT RL = An arc welding machine is an example of an attempt to build a current source. In order to make a neat and uniform weld, the current which melts the steel needs to be constant. As the welding rod scratches along the metal, the resistance varies widely so the voltage must fluctuate wildly to try to keep the current constant. Obviously, if the welding rod is too far from the metal, there will not be enough voltage to make an arc jump to the metal. In this case the welding machine will be unable to produce a constant cur- WHEN YOU SHORT rent. WOULD PRODUCE INFINITE CURRENT. I = A PERFECT VOLTAGE SOURCE A REAL BATTERY, THE SHORT CIRCUIT CURRENT IS Notice that if you had a perfect current source it would be very easy to make a good, but not perfect, voltage source. If the output current from a current source is pushed through a resistor, a fixed voltage will appear across that resistor in accordance with Ohm's law. If the resistor has a very low resistance, then the voltage source you have made will have a very low inter- LIMITED BY THE BATTERY RESISTANCE, R. THE RESISTANCE, BECOMES VERY R, HOT. A REAL BATTERY nal resistance. Fig. 4-2 A perfect voltage source compared to a battery. Ideal current source volt-ampere charac- teristics b. A volt-ampere characteristic for an ideal curis shown in Fig. 4-3. Notice that no matter what the voltage is, the current remains constant. We are discussing all this because electronic control devices usually have outputs that Current sources rent source Current sources are ideal devices that will push a constant current through any load. Real devices that try to mimic current sources have no + 1 'cs FIXED CURRENT LEVEL TOTALLY INDEPENDENT OF VOLTAGE -V +V -I Fig. 4-3 The volt-ampere characteristic ideal current source. 58 for an CURRENT SOURCE SYMBOL like current sources. This means that for a given level of control voltage or control current input, the current passing through the output side of the device is proportional to the input current and tends to be unrelated to the voltage across the output circuit as a whole. behave normal conditions the amount of water coming through the dam is dictated by the operator controlling the flood gate. The water flow is not directly controlled by the amount of water behind the dam. Obviously if there is a drought and the reservoir is nearly empty, open- rent. In ing the flood gates will not produce very Having the output Having the output of a control device like a voltage source is also useful. much water flow. behave like a current source is desirable because this means that the current output of an amplifier will be independant of variations in the power supply. For example, suppose there were 120 Hz ripple on the DC power supply driving an amplifier. If the output were a perfect current source, the output current would contain no 120 Hz component at all even though the voltage that causes the current to flow is full of 120 Hz ripple! of a control device B. The Basic Transistor Amplifier Bipolar transistors have a large current gain which is called beta, the Greek letter (i. The output current equals the control current times the gain, beta. I out = w The voltage which causes the output current must be supplied with an external power behave to flow A This property would insure that the voltage across the device output would only be related to the control voltage or current input. This would make the output supply. load resistor, Rl, is inserted between the power supply and the transistor. Since the current passing through the resistor is generated by a current source, the voltage across the re- voltage independent of supply voltage or a changing load. No single control device can do this but the resistor operational amplifiers, which are a complex trol current. made from cuit sistor is a cir- good voltage source. The voltage across is also proportional to the input con- several transistors, can be wired The voltage across the load resistor makes a convenient output for many applications. For example, the voltage across the resistor could be wired to the deflection plates of a cathode ray tube in an oscilloscope. The voltage changes in response to the control current and steers the electron beam across the face of the oscilloscope screen to display waveforms. to achieve this. Let's apply the idea of current sources to our dam analogy. The output sides of real control devices are wired in series with a power supply which is analogous to the river or a reservoir. The control device allows fixed amounts of current to flow as determined by the control voltage or cur- OUTPUT VOLTAGE SOURCE Rload ACROSS RESISTOR Vcc POWER SUPPLY V COLLECTOR 'out > CONTROL CURRENT I.N > © BASE \ Rbase l0UT = l| N ft EMITTER 'J Fig. 4-4 A simple circuit model for a transistor. 59 all, if we had plotted infinite gain, the would be off the graph, so a finite current gain of 100 is assumed. To illustrate the control First of In a stereo amplifier the load resistor would be replaced with the loudspeaker itself. The voltage across the loudspeaker and the current through it provides the power needed to create the sound. curve(s) that the input current has over the output, sevsamples of volt-ampere curves are drawn to eral show how they change with different levels of in- put current. Notice that the power supply voltage must equal the sum of the voltage across the load plus A the voltage across the transistor. collection of representative curves like this called a family. Whether to have the family of curves extend into the negative area at the lower left (—V and —I) is optional. Most real devices have families in either the positive or negative areas, but not both. They are usually turned off or damaged by operation in the opposite polarity. is Vpower supply = ^ load resistance + ^transistor Since the power supply voltage never varies, is high when the low and vice versa. It is quite common to use the output voltage across the transistor rather than the voltage across the load resistor and we will cover these possibilities the voltage across the transistor voltage across the load is D. Triode tubes in a later section. C. Vacuum Tubes The Ideal Transistor Volt-Ampere Characteristic We will mention vacuum tubes just in case you ever have to fix an ancient radio. The triode A vacuum tube is constructed just like a vacuum tube diode except that a sieve-like control grid is placed between the plate and the cathode. The volt-ampere characteristic for a hypothetdevice is plotted in Fig. 4-5. To ical ideal control understand will require it some explanation. + 'out OUTPUT CURRENT mA GAIN = 100 "OUT = (100) l, 600 6 mA ^ 500 5 mA 400 4 mA 300 3 mA 200 2 mA EQUALLY .SPACED 'LEVELS OF i CONTROL CURRENT 100 1 mA \ mA J NEGATIVE CONTROL CURRENT in N -V llN / +V -1 .100 -2. ^200 -3_ _300 -4 ^400 . -5. 500 r -6. h 600 -I Hypothetical volt-ampere characteristic for an ideal control device. For many applications perin both the positive quadrant 1+ V and +1) and the negative quadrant (— V and —I) would not be desirable. Therefore, the negative family of characteristics is shown dashed. Fig. 4-5 formance 60 main current stream of electrons can be controlby placing small voltages on the grid which Pentode tubes led can either turn off the stream or let it through. Although there is a small control grid current, the control variable is primarily voltage. A few volts change on the grid makes a very large change in the electron stream and turns the tube on or off. Triode vacuum vacuum tubes have very ideal families of volt-ampere curves that resemble either current sources or However, pentode vacuum tubes have two more control grids and when they are biased with the proper DC voltages, the pentode vacuum tube volt-ampere characteristics are very close to the positive half of the ideal curves in Fig. 4-5. As we shall see, the pentode vacuum tube behaves very much like an N-P-N bipolar transistor and the N-channel field effect transistor is even closer to the pentode vacuum tube. non- do not voltage family of curves resembles a collection of ordinary resistors. sources. Instead, the triode r~N Fig. 4-6 An assortment of vacuum tubes 61 Modern vacuum the tubes action of transferring across a resistor. tubes have practically disappeared from avionics made in the free world, but they are still used in very high power broadcast transmitters. Vacuum tubes which operate on somewhat different principles, klystrons, magnetrons, and traveling wave tubes are still used in radar and is The most common type of transistor is based on a triple layer semiconductor structure, either N-P-N or P-N-P. Like a P-N junction diode, the function of these transistors depends on both kinds of current carriers, holes and electrons. Because of the interaction of these two pathways microwave systems. The Russians have continued to develop vacuum tubes while the Western world has gone to semiconductors. Modern Russian avionics are full of highly miniaturized vacuum tubes and the or "poles," these transistors are called bipolar transistors. Field effect transistors only involve one kind of sequently not very different from western designs made with discrete transistors. However, integrated circuits can not be built with vacuum tubes so the future of this technology is severely is The principle The transistor is a direct descendent of the semiconductor diode, and was invented by Shockley, Bardeen, and Brattain at Bell Laboratories in 1947. The word transistor was supposed to imply An effect transistors are Con- called used the point contact which resembled the cat whisker diodes first transistors which served as detectors in crystal set radios. Point contact transistors worked quite well but were unreliable and were quickly replaced by P-N The Transistor Fig. 4-7 carrier, either holes or electrons. field unipolar transistors. limited. E. transistor a sort of resistor that can vary its resistance to control the current flowing through it. Vacuum performance current through or The idea was that the junction bipolar transistors. Today P-N junction by field ef- transistors are slowly being replaced fect transistors of various types. assortment of transistors 62 Josephson junction device you put a small control current into has to come out somewhere. In normal circuit circumstances, the base current joins the collector-to-emitter current and comes out the emitter. If the base, In the not too distant future, the Josephson may start replacing both of these transistors for switching circuits in computers. This is a very high speed transistor that operates junction device it emitter. The complexity operating a circuit at near absolute zero, (—425° F) is offset by the advantages of very low power consumption and extremely fast switchat extremely low temperatures. COLLECTOR COLLECTOR of lc BASE BASE ing. — / t" 3 :> these devices consume so little power, very high densities of computer circuitry Because It is spacecraft will be inevitable among that aircraft The refrigeration BASE EMITTER Fig. 4-8 the equipment working than the com- N-P-N and P-N-P Just as The bipolar transistor is a three layered device in which the outer layers are one type of semiconductor, either N or P, and the center layer P or N In most applica- tions the output circuit path that is and their in diodes, whenever you are trying to which direction a current will flow How to Turn Off A Transistor layers of this sandwich are called the emitter and the collector. trol transistors respectively. G. The outer EMITTER through a transistor, just remember that the current will flow from the more positive voltage down to the less positive voltage and that positive charge will always flow in the direction of the arrow. Remember that positive to P conducts! Bipolar Transistors the opposite type, (P-N-P) circuit symbols. figure out is Y and puter! F. COLLECTOR BASE (N-P-N) avionics may have more problem keeping technician COLLECTOR the first applications for these super compact computers. EMITTER 4 can be crammed into far less space than today's room temperature integrated circuits. Because they are so small, signals take less time to travel through them and calculations can be made more rapidly. EMITTER \ from the emitter to the center layer, the base, is we wish Let's start collector. by turning off an N-P-N tran- To turn the transistor off it is only necessary to make the voltage between the emit- to con- sistor. The the control element that ter and base zero so that there will be no voltage turns the main stream current on and off. This is done by injecting electrons into the center layer or pulling them out, depending on whether the be done by connecting the base to the emitter which insures that these two leads will have a transistor is P-N-P or N-P-N, respectively. voltage difference of zero. Before we explain this in detail, a lot can be learned about these two different transistors just by memorizing the circuit symbols. Note the family resemblance to diodes in the barrier bar Since the base and emitter layers are wired N layer is bypassed and the circuit becomes equivalent to a back-biased P-N diode. In other words, the transistor is turned off because the N layer of a P-N diode faces the to drive a control current into the base. This can together, the emitter and the arrowhead. positive end of the battery. In the N-P-N configuration the arrowhead points away from the barrier line. This arrowhead indicates the direction of movement of positive charge through the transistor. Primarily it shows the direction of positive charge moving between the collector and the emitter. It also shows the direction of movement of charge Because the transistor has a high gain, it is not necessary to keep the base directly connected to ground to keep it turned off. Connecting the base to the emitter with even a very high resistance, such as 100,000 ohms is often enough to keep the transistor turned off. from the base to 63 Rb Fig. 4-9 H. How to Turn On A Turning off an N-P-N transistor Transistor Although the following configuration is unusual, the transistor can be turned on by simply connecting the collector to the base. If this is Vcc done the collector layer is bypassed and the transistor becomes a forward biased P-N diode. Since only a small current is needed to turn on the transistor, a very high resistance, say 10,000 ohms, may be enough to bypass the collector. Fig. unusual for the control current to come from the collector. Normally the current would come from some other circuit, such as the separate battery and switch shown in Fig. 4-11. It is 4-11 Turning an N-P-N transistor on and off to emitter resistor were left out, the transistor would tend to stay on after the base current, lb, was switched off. Switch circuit The switch, The switch circuit in Fig. 4-1 1 needs two base The one in series with the battery, Vt,, limits the base current to a small value. The se- transistor it is not only an ON and OFF range of current control. The size of the collector to emitter cuirent equals the gain of the transistor times the base current, within practical limits. Fig. 4-12 shows the family of volt-ampere resistors. cond resistor connects the base to the emitter when the transistor is to be turned off. If the base characteristics for a real Rl Fig. 4-10 is also an electricity faucet with a wide Turning on an N-P-N transistor 64 N-P-N transistor. TYPICAL COLLECTOR CHARACTERISTICS between the collector and emitter, V ce can be significant even though the transistor is turned full ON. This limitation is seen as the gap between the vertical current axis, (where V ce = 0) and the family of plotted curves. , TYPE 2N1479 50 40 CASE TEMPERATURE = 25° C 30 1 JO BASE MILLIAMPERES J 0.4 1 — 1 = 15 P-N-P Transistor 10 ! !— -4 "> • i ; 10 20 30 40 3 50 Now we 4 / 60 Family of curves for the same the polarities are 70 as the now reversed. In other words, the P-N-P transistor operates in the negative voltage, negative current 2N1479 N-P-N rant. It is usually destroyed silicon transistor. lector to base junction Notice how constant the collector current is for each value of base current. The collector cur- and the base becomes forward biased to emitter junction is not designed to withstand high reverse voltage. almost independent of the voltage across V ce For each of the base currents shown, to 50 mA, the transistor varies its resisis the transistor, A family of P-N-P characteristic curves is seen in Fig. 4-14. It closely resembles the negative half of our ideal control device char- . tance so that it will act like a current source. Equal increments in base current produce proportional changes in collector current; that Ic quad- when one attempts to operate it in the positive voltage, positive current quadrant. Positive to P conducts, so the col- Collector current rent P-N-P transistor. It is N-P-N except that all 80 COLLECTOR TO EMITTER VOLTS Fig. 4-12 will look at a virtually the acteristic sfHb. in Fig. 4-5. It may occur to you that if one could combine the characteristics of an N-P-N transistor with However, at high collector currents much more base current is needed to produce the same change. This means that (1 decreases at high current levels and that real transistors are not those of a P-N-P transistor, you would closely approach our "ideal" family of curves. This is indeed done as we shall see in Section 7. Using the two kinds of transistors together is called a complementary transistor amplifier and makes a very efficient and low cost Hi-Fi amplifier. perfectly linear. The shown is, transistor cannot be turned on until the voltage between the base and emitter at least exceeds the forward offset voltage of the base to emitter junction, about 0.6 volts for a silicon tran- Earlier sistor. When the transistor is passing very high currents from collector to emitter, the voltage COLLECTOR BASE EMITTER Fig. 4-13 it was said that, except for the P-N-P transistors were virtually the same as N-P-N transistors. For technical reasons high speed, high power P-N-P transistors are much harder to manufacture than equivalent polarities, The P-N-P transistor 65 V CC How TYPICAL COLLECTOR CHARACTERISTICS TYPE 2N2148 COMMON EMITTER CIRCUIT BASE INPUT MOUNTING FLANGE TEMPERATURE = 25° through the diode. wider this region of displaced minority carriers becomes. If the base is made very thin, the minority carriers can diffuse all the way across the base and "convert" the base layer to the same semiconductor type as the emitter and collector. C BOUNDARY OF "RECOMMENDED OPERATING" g -4 s ^^ REGION. 25 O -2 Conversion of the base -10 -15 -20 -25 For example, to turn on an X-P-X transistor, is applied to the base so that the base to emitter junction will be forward bias- -30 COLLECTOR TOEMITTER VOLTS a positive voltage The family of curves for the P-N-P Fig. 4-14 2X2148 germanium transistor. (It is customary to plot families of curves for P-N-P transistors with negative values upuard and to the right.) P conducts.) Since a positive curflowing from base to emitter, this is the same as saying that electrons are flowing from the emitter X material into the holes in the base P ed. (Positive to rent N-P-N transistors. Consequently, the output stages of powerful amplifiers are nearly always N-P-N /. spreads into X and P how much current is flowing The more forward current, the far this diffusion regions depends on is region. The quickly holes in the P region valence band are with electrons. filled in transistors. Why As Have Gain Transistors the emitter creases, conduction to base electron flow in- band electrons from the emit- base P region conducare flowing in the P region conduction band, the P region is so narrow, it is easy for conduction band electrons to diffuse all the way across the base without falling into a hole: that is, without falling down into the valence energy band. These conduction band electrons can cross right over into the type X collector where there is a large positive voltage to attract them. And, since they are already in the conduction band, there is no energy cliff that they must climb to enter the collector. ter begin to diffuse into the The way we described base currents bypassing the emitter or collector layers it must appear to you that transistors can be made out of two P-X diodes wired back to back. Such a transistor would have no voltage or current gain and would have little practical use. The transistor is useful tion primarily because a small base current can turn on a large collector to emitter current. Transistor gain results because the base layer is very thin, typically 5 to 25fi meters thick (0.0002 to 0.001 inches). The idea is that a small current into or out of the base can temporarily convert the base layer into a material that is electrically similar to the collector all and emitter. When more and more base current X-type or P-type, the resistance from collector to emitter will be quite low and the transistor will carriers all way to diffuse minority across the base. diodes wired back to back. In other words, the Carrier Diffusion said that the If the base region were thick enough, there would be no significant difference between the transistor and two turn on. we Once electrons To summarize, this conversion in the base region occurs only because the base is very thin. As the base is made thicker and thicker, it takes three layers are electrically the same, either In Section 2 band. collector current when a diode current, so there is for- would be no bigger than the base would be no gain. ward biased there in is diffusion of minority carriers both directions across the junction. Base layer Now let's turn the N-P-N transistor off again. This is done by putting a voltage on the base that is negative with respect to the emitter. This back- In other words, holes diffuse from the P side, where they are a majority, over into the X side where they are a minority. Also, conduction band electrons diffuse from the N side, where they are a majority, over into the P side where they are a biases the base-to-emitter junction and stops the flow of electrons into the base valence band. It minority also stops the diffusion of electrons into the base 66 As soon conduction band. tion they are interchangeable. They are not. First, as the region of conduc- band electrons becomes narrower than the if the emitter and collector are reversed, the gain width of the base, the base will again be acting P-type semiconductor and the collector-tobase junction will be back biased. will be very low. like a The thinner the base layer Second, the true emitter-to-base junction is small and could be easily damaged by heat. Tran- the more sen- is, sistors are usually being overrun by conduction band electrons from the emitter and the more current gain the transistor will have. Very thin base layers also enable the transistor to switch very fast because relatively few electrons have to be drawn into the base to turn on the transistor. sitive it is to made so that the collector-to- base junction is much larger than the base-toemitter junction. A small emitter is usually surrounded by the base layer. The base, in turn, is usually surrounded by a large collector. The idea is that when minority carriers dif- fuse across the base, a very large base-to-collector On the other hand, very thin base layers are high speed, high voltage, high junction will give them plenty of opportunity to enter the collector on their way toward the base. The emitter is usually more doped than the collector to provide lots of minority carriers to the a rule, fast power transistors get around by printing hundreds of small, However, this makes the base-emitter reverse breakdown voltage very low. Remember how extra doping lowered the zener breakdown voltage in zener diodes? Some examples of tran- more easily broken down by excess collector voltage and damaged by heat. As a result, it is very difficult to build power As transistors. base. this to a degree high speed transistors in parallel on the same silicon sub strate. As seen through the magnifying glass, these transistors resemble a comb where each of the "tines" represents dozens of low power transistors lined up along side each shown sistor construction are in Fig. 4-18. Alpha Transistor gain other. is directly related to the ciency with which "emitted" by the emitter. effi- the collector "collects" current Emitter Since the collector and emitter are the same kind of semiconductor, you may have wondered When current leaves the emitter and enters the base region, as much as possible should go to the collector. The fraction of the total emitter current going to the collector if ONCE THE BASE TO EMITTER JUNCTION HAS BEEN FORWARD N IE HIGH + = »B + lc MOST ELECTRONS FLOW INTO THE COLLECTOR BECAUSE THEY ARE ATTRACTED BY THE HIGH POSITIVE VOLTAGE BIASED, Rl- VOLTAGE ON COLLECTOR tyyfc SMALL BASE- VOLTAGE -^~ VB Vcc COLLECTOR SUPPLY VOLTAGE Fig. 4-15 A bipolar transistor has gain because the base layer is very thin. 67 is Greek called alpha, the letter a. This transistor is quite linear and the transfer curve is quite close to being a straight line. Conse- Alpha generally ranges between 0.90 and 0.99 which means that 90 to 99 percent of the emitter current passes into the collector. Alpha is quently, this particular transistor ed directly related to the cur- is recommend- low distortion audio power amplifiers. for rent gain, beta. TYPICAL TRANSFER CHARACTERISTIC TYPE 2N2148 COMMON EMITTER CIRCUIT, BASE INPUT MOUNTING FLANGE TEMPERATURE a = COLLECTOR-TO-EMITTER VOLTS £ (T M f) = 25° C = -2 (V C e) -5 w HI OL- and ft ID = -4 Ql s lb < <r O HO LU Substituting the expression for alpha into the expression for beta gives, -3 -2 o u -1 P=l-a -10 -20 -30 -40 -50 -60 BASE MILLIAMPERES(Ib) Fig. 4-16 Beta or hfe Transfer characteristic for the 2N2148 transistor Sometimes the term "hfe " is used instead of beta. For most practical purposes hfe is the same thing as ft, but it is Transistor Input Characteristics J. defined for a particular We collector-to-emitter voltage. have talked about families of volt-ampere characteristics for the transistor from the point of view of the collector-to-emitter voltage and cur- We have not discussed the volt-ampere char- hfe is one of four "h-parameters" that are often given for a transistor to help engineers rent. design circuits. With the four standard h parameters, the engineer can draw a relatively simple equivalent circuit for a particular transistor that this is just a P-N junction diode, the base-toemitter characteristic looks like a diode. will allow behave him to calculate acteristic of the base-to-emitter junction. Since how the transistor will The equivalent cir- TYPICAL BASE CHARACTERISTIC in a particular circuit. TYPE 2N2148 COMMON EMMITTER CIRCUIT, BASE INPUT cuit is similar to Fig. 4-4, but includes the effect MOUNTING FLANGE TEMPERATURE = the output has on the input and the resistance of the collector to emitter pathway. -50 Transfer characteristics LU QC LU Q. The 5 < relationship between the base current and the collector current characteristic. equation, I c = called the transfer ,_i can be approximated by the lb or given as a graph. Real tran- 2 is _i It ft LU U3 < 25° C COLLECTOR-TO-EMITTER VOLTS = -2 -40 -30 -20 -10 m and the transfer characteristic cannot be expressed by a simple sistors are not perfectly linear -0.2 -0.4 -0.6 -0.8 linear equation. BASE-TO-EMITTER VOLTS A transfer characteristic for the P-N-P ger- manium 2N2148 transistor is shown Fig. in Fig. 4-16. 4-17 transistor 68 Base characteristic for the 2N2148 Because the 2N2148 tor, its a is germanium transis- 4. 0.2 volts to be turned on. By dividing the plotted voltage by the resulting base current, you can about 11 ohms. . Limitations Transistor Performance in One 1. a zener breakdown of the collector-to- is Another is called avalanche few electrons penetrating the P-N barrier can ionize the semiconductor. Once an ionized path is formed, an "avalanche" of elec- base Collector cutoff current junction. A multiplication. Since the transistor is closely related to the diode, it has many of the same limitations. For example, when the transistor is turn- P-N junction ed off, trons will follow. a leakage current, called the collector The third mechanism is called reach through. The idea is that the base is so thin that a large col- cutoff current, I co still flows. It is analogous to the leakage current that flows through a back , biased diode and is in the lector voltage range of 0.1 to 100 for Another limit in transistor When performance is Small transistors generally have breakdown base current no longer produce further increases in collector current, the transistor is said to be "saturated." This turned "on" as much means that the as it will see that collector cur- additional increases in is Turn back to Fig. 4-12 and you and 2 mA of base current, the 1 rent rises sharply as the collector voltage approaches 65 volts. The junction breakdown is occuring at 65 volts, and if very much current is allowed to flow through the transistor, it will overheat and be destroyed. Saturation voltage the saturation voltage. can directly act on the emitter and attract electrons (or holes) across the base. microamperes. This leakage current results primarily from the hole-electron pairs generated by heat. So, if having a small leakage current is important, the transistor must be kept cool. 2. breakdown voltage There is a limit to how much voltage can be placed across the collector to emitter without breaking down the collector-to-base junction. This is called the collector-to-emitter breakdown voltage, BV ce There are three theoretical mechanisms explaining why the transistor can break down between collector and emitter. show that the forward resistance of this diode junction ranges from about 32 ohms down to K. Collector-to-emitter base-to-emitter junction requires at least voltages in the range of 20 to 60 volts while large, modern power transistor transistors can have breakdown voltages as high as 900 volts. The collector-tobase breakdown voltage (called BV c b) is usually can be turned on. measured between the Real bipolar transistors have a significant collector to emitter voltage when turned full on emitter left collector and base with the unconnected. The breakdown voltage between the collector and emitter, BV ce is usually less than from collector to base because of the reach through phenomenon. , and this is called the saturation voltage, V ce (sat). For large silicon power transistors passing pulses of several amperes, the saturation voltage can be 30 volts or more. With a small germanium transistor, the saturation voltage can approach 0.2 volts for low currents. 5. Power dissipation In Fig. 4-12, the family of curves is not plot- ted over the entire area of the graph because the 3. Maximum Since there is a minimum if it is operated off the In Fig. 4-14 a dashed line is to fail it. shown around the family of characteristics show the boundary of the safe operating area. to must be a If you multiply the collector voltage, V ce times the collector current, I c at various points collector current that can be permitted , flow continuously through the transistor without overheating it. This is called the maximum continuous collector current and is comparable to the maximum current rating of a diode. to is likely curves shown for collector to emitter voltage, the saturation voltage, there maximum transistor continuous collector current , all around that boundary you will find that the power that results is roughly constant (V ce )(I c = 50 watts. This is the maximum power that the , ) 69 transistor can dissipate without overheating. This power can be anywhere from 35 milliwatts for an early 1958 germanium transistor to well over 100 watts for a modern silicon power transistor. This maximum power is less if the operating temperature is high and greater if the transistor is operated in a low temperature environment. The power dissipation of a transistor can also be increased by bolting it to a large metal heat sink. In the grown type, the semiconductor crystal formed by slowly pulling a crystal of semiconductor out of a pot of molten silicon or germanium. The N and P regions are created by adding impurities during the crystalline growth prois cess. 2. Alloy or fused construction The alloy type is also called fused construcThis process starts with a thin wafer of doped semiconductor which will later become the base layer. Small "dots" of impurity for making the collector and emitter are placed on either side of the wafer. The assembly is then heated until the impurity melts, but the base layer does not melt. The impurity diffuses into the wafer until there is only a tiny barrier of base material left in tion. Modern transistor curves Fifteen years ago manufacturer's specifications nearly always included the collector-to- and sometimes a plot of the transfer and base voltampere characteristics were given. Today the transistors and the designers have become more sophisticated and these curves are rarely seen in emitter, volt-ampere characteristics family specifications. Instead there are usually a variety of tables and curves that describe the transistor performance for the particular job the transistor was designed to do. For example, switching transistors have graphs of time needed to turn on and turn off the transistor versus the collector current that is being switched. They also have graphs of the capacitance of the P-N junctions versus the reverse voltage bias across them. Junction capacitance is important because the transistor can't switch until the charge stored in the capacitance is discharged. If the transistor is quency intended as a radio The impurity converts regions of the base semiconductor to semiconductor of the opposite type. The collector area is made much larger than the emitter. This is done to encourage as much emitter current as possible to go to the collector to insure high gain. 3. fre- By successive diffusions and masking, a three layer transistor can be diffused into the semiconductor substrate. The surface of this wafer is sealed with silicon dioxide which is glass. Using masks, aluminum is deposited on the appropriate places to attach the leads. Since most operations are on the surface of a plane, these are called planar transistors. Transistor Fabrication 4. 1. Diffusion construction In the diffusion process one side of a semiconductor wafer is subjected to a gas containing N or P impurities which convert the surface of the semiconductor to N or P semiconductor. Using masks, which are something like photographic negatives, the diffusion is limited to certain areas of the wafer. amplifier, then curves are given for signal gain versus frequency, maximum gain versus frequency, and transistor noise (noise figure) versus frequency and collector current. If the transistor is intended as an audio amplifier, curves are given for output power versus distortion. There are dozens of specialized kinds of bipolar transistors and each is described differently. L. the center. Grown construction named according to the make them. There are four basic Transistors are often methods used to techniques for manufacturing transistors, diodes, and other semiconductor devices. These methods are grown, alloy, diffusion, and epitaxial Epitaxial construction The epitaxial growth process involves growing silicon crystaline layers on a substrate. A wafer of silicon is placed in an oven and exposed to a mixture of silicon tetrachloride gas and a gas containing the needed N or P impurity. The silicon tetrachloride breaks down in the heat and free silicon atoms are deposited on the crystal substrate in a thin layer. The process resembles the way snow flakes grow in clouds by adding new water molecules to existing ice crystals. In the same way that snow can trap smog particles, N and P impurities can be trapped in the silicon crystal in the desired concentrations. After the epitaxial masked and process. The planar the process, epitaxial N diffused using the diffusion layer is four fabrication The P+ regions are diffused around the tran- it from other transistors which might be on the same chip. The idea is that the P+ to N junction makes a permanent back biased diode which prevents one transistor from interfering with another. If the transistor were discrete, i.e., alone on the silicon chip, the P-l- regions would not be needed. sistor to isolate silicon. mm C 1 Several of these fabrication methods can be combined to produce diffused alloy devices, alloy- emitter-epitaxial-base transistors, and so on. All N mm the material. in- tegrated circuits where arrays of components are diffused and deposited onto a single sheet of 3 illustrates diffusion and epitaxial pro- cess are the basic technology for producing 1 4-18 Fig. methods. The diffused planar epitaxial transistor is the newest and most complex technique. The P+ and N+ regions are areas where the semiconductor is very heavily doped with impurity. The N+ regions are added because the aluminum contact metal has a valence of +3 (3 holes) and tends to make P-N junction diodes wherever it touches 25 P N these methods produce transistors that perform equally well at low frequencies and low voltages. The usual reason for exotic fabrication processes ^m t to improve high frequency performance and high voltage ratings. is T ALLOY TRANSISTOR M. Testing Transistors GROWN TRANSISTOR OB EO GLASS test them, both in transistor 5 fail and you need methods to and out of the circuit. If the out of the circuit, lying free in your Transistors can SI0 2 is hand, there are three basic ways to test it. 95% of the time you simply need a crude check to see if the transistor still has its two P-N junctions intact. This is easily done with an ordinary ohm meter. ^m; ALUMINUM METAL DIFFUSED PLANAR TRANSISTOR 1. T ///// |n+| 1 N+ 1 p+ 1n+| P+ N-EPITAXIAL Ohm meter c Set the ohm meter to a high ohms range and attach one test lead the base. Attach the other lead to first the emitter and then the collector. If the P-N junctions are forward biased by this, you > EPITAXIAL VGROWN J LAYER will see a relatively low resistance indicated, somewhere between 10 and 100 ohms. Now, reverse the leads and if the two P-N junctions are back biased, they should show a very high resist- P-SUBSTRATE DIFFUSED PLANAR EPITAXIAL TRANSISTOR SUITABLE FOR INTEGRATED CIRCUITS ance, at least 100,000 ohms sistor has a serious defect, Fig. 4-18 junctions will have lost Transistor fabrication techniques 71 its or more. If the tranone or both of the two diode characteristics. In small transistors the emitter wire is often marked with a tiny metal flange that protrudes from the case or a case. In many flat spot in the side of a plastic transistors the leads are labeled with the letters E, B, and C. If you still aren't sure which lead is which, you will have to look them up in the manufacturer's specifications. 2. Transistor curve tracer A better way to test a transistor out of the circuit is to use a transistor curve tracer. This in- strument resembles an oscilloscope. It plots voltampere characteristics on its screen and can be used to measure other parameters such as breakdown voltages and switching speed. The data obtained can be compared with the manufacturer's specifications for the transistor. Some curve tracers, such as the one in Fig. 4-21 can store the characteristic curve for a transistor known to be good so that it can be directly compared with the transistor being tested. Testing transistors out of the circuit is like testing pilots out of an airplane. You can give pilots written and oral exams and put them through simulators, but you are never completely Fig. 4-19 Testing transistors with an certain of their performance until they fly the ohm meter airplane. Identifying Leads Curve tracers are rarely used Transistors are mounted in a variety of cases and it is often difficult to figure out which of the three leads the base. is Some transistors have and in large power They do not specifically test sistor will way metal cases or metal tabs which serve as heat sinks. These metal tabs are usually connected directly to the collector shops. in avionic repair are not only expensive, $5000, they work whether or not the in a particular circuit. to test a transistor is to substitute tran- sistor. tion. METAL CASE JS COLLECTOR C EMITTER £_FLAT SPOT EMITTER SHOWS EMITTER TAB Fig. 4-20 it into a working piece of equipment which is identical to the equipment in which you plan to use the tran- sistors the metal case is the only collector connec- . tran- The best Identifying transistor leads 72 FLAT SPOT by the failure of some other part in the circuit, so don't assume that replacing a defective transistor is the end of your problem. fail QUESTIONS: 1. What a transistor or a is vacuum tube sup- posed to do? What properties would be desirable for a bipolar transistor? 2. 3. Why isn't amplifying an electronic signal comparable to inflating a balloon? What are the three kinds of gain? If the cur- rent gain is less than one, how can there be a power gain? 4. can an amplifier be made to oscillate? 5. What does fast switching speed have to do with the amount of power (heat) dissipated in a transistor? 6. If a transistor amplifier is amplifying a continuously varying signal, like voice or music, the transistor is dissipating power Tektronix model 577 curve tracer. This instrument plots volt-ampere characteristics of transistors and other semiconductor devices. Fig. 4-21 3. How almost the entire time that the signal sent. 7. Maintenance manuals Testing a transistor while it is installed in the means careful checking to be sure it is doing the job it was designed to do. The equipment maintenance manuals help you do this in several ways. There is usually a description of the circuit and what the transistor is supposed to accomcircuit 8. Why is pre- this? What is meant by saying that the output of a transistor or vacuum tube behaves like a current source? Why is this an advantage? The gain bandwidth product is 100,000,000. you expect 9. is at 50 Referring to Fig. of a transistor current gain would What MHz and 100 4-4, it can be seen that MHz? plish. V cc = There are often photographs of oscilloscope waveforms of currents and voltages that should be seen on the collector or emitter of a transistor. If the waveforms on your oscilloscope don't re- Vce + load voltage. the circuit leading up to the transistor must also be checked. Many maintenance manuals show DC voltages that may be expected at hundreds of dif- Suppose this transistor is amplifying a sine wave. The amplified sine wave output is a voltage taken between the collector and the emitter. The sine wave "zero" point is set to be one half of the supply voltage, V cc Is the phase of the voltage across the load resistor different from the phase of the sine wave voltage across the transistor? Is the phase of the sine wave current through the transistor different from the phase of the voltage ferent places in the circuit. sine semble those illustrated in the manual, the transistor may be to blame. . Of course, other parts may be at fault rather than the transistor, so everything in of the circuit wave across the transistor? — across the load? If the voltages on a particular transistor are different, it's possible that the transistor is to blame. Quite often a failed transistor is made 10. to 73 Why can't a transistor be made by wiring two P-N junction diodes together? 11. Why aren't the collector and emitter inter- changeable? 12. Referring to Fig. 4-15, the emitter current equals the sum of the collector current plus the base current. Using this relationship and the equations defining a and (1, show that 1- 13. How a could an ideal transistor dissipate zero power while passing large currents? 14. What is 15. What is a saturated transistor? the safe operating area of a tran- sistor? 16. 17. How can an unmounted transistor be tested with an ohm meter? What does this test fail to tell you about the transistor? What is the best way to test a transistor? 74 SECTION V AC Power Control Devices In this section we are going to talk primarily about thyristors. These are electronic devices used for controlling AC power. They can be thought of as faucets for alternating current. They can vary large AC currents without overheating or wasting energy. You may be wondering why we need special devices to control AC power. Why can't large bipolar transistors do the job? Circuits designed around bipolar transistors could be used, but the AC power control devices do it with so few parts that transistors are rarely seen in AC power cir- If you try to use a transistor as the variable your control system, it will be devoltage switches to the polarity opposite to what the transistor was designed for. The transistor could be pro- resistor in stroyed when the AC tected by a diode in series with it. However, one transistor could only turn on during one half of the sine transistor wave cycle. A second, other half of the sine wave. AC separate would be needed to control the A transistorized control circuit would be complex and ex- pensive. cuits. A. The problem Controlling Alternating Current much power of a resistance dissipating too while it is come by having the Attenuation-by-resistance attenuating can be over- control device work as a Rather than have the control device spend all of its time turned part way on, like a resistor, it can spend part of its time all the way ON and the rest of its time turned all the way OFF. If the switching on and off is rapid enough, the average power that passes to the lights or heater will be less, but the control device will not dissipate any significant power. Remember we switch. Suppose you wish to build a variable light for the lights in your living room, or you dimmer need a variable heat control for a soldering iron, a hair dryer, or an electric frying pan. This could be done by placing some sort of variable resistor in series with the lights or the heating element that you want to control. Unfortunately, this ap- proach has two basic problems: showed in the last section that a perfect switch does not dissipate any energy because 1. the attenuator behaves like a simple resistor, the attenuator is going to run very hot sistance If because large amounts of energy will be dissipated in it. If you cut the voltage across the is its re- seem to either zero or infinite. The power delivered to the load will be continuous. After all, with AC power the current is already switching on and off 1 20 times per lights to half, the other half of the voltage will heat the resistor. If a control like this were mounted in the handle of a soldering gun or a hair dryer, the handle might become as hot as the end you wish to heat! second. Chopping the current into shorter increments will not matter, especially if the basic frequency of the AC voltage can be preserved. 75 matically trigger at a certain angle of the sine will look at the devices designed to Attenuation-by-switching wave. Now we do this. Let's apply this principle of attenuation-byswitching to the light dimmer. Figs. 5-1 and 5-2 show two basic designs of light dimmer. Fig. 5-1 dissipates load original, (the but it is SWITCH CLOSES < TIMES PER SECOND V L 120 i <LOAD RESISTANCE > (LIGHTS) EXCESS VOLTAGE S "^ _ /HEATS RESISTANCE . © ©,.Vs decreased in amplitude. X,_^ AC SUPPLY X. unwanted power in a variable hot. The voltage across lights) is a sine wave like the the which becomes resistor the HIGH SPEED ELECTRONIC SWITCH 7 \ t vs - vL VS 180° V A LOAD / , (LIGHTS) 1 360° ih l J LOAD VOLTAGE SUPPLY VOLTAGE Fig. 5-2 +~ SUPPLY VOLTAGE The Thyratron semiconductor AC power Thyratrons resemble triode vacuum tubes but they contain a small amount of ionizable gas such as argon, or mercury vapor. Like the triode vacuum tube, the thyratron has a heated cathode, a control grid, and a plate anode. When a trigger voltage is applied to the control grid, a current flows from the cathode to the anode across the partial vacuum. The ancestor LOAD VOLTAGE devices Attenuation by resistance In Fig. 5-2, the average voltage is attenuated by switching. The switch admits only a fraction each sine wave half cycle into the This attenuates the average voltage because the area under the voltage curve is greatly (about Attenuation by switching t B. Fig. 5-1 D 1/2) of lights. is of the the thyratron. decreased. A complete sine wave is 360° per cycle, so each half cycle is 180°. The picture is drawn so that the switch is conducting the second half of each sine wave half cycle, about 90° out of a possible 180°. This "angle" is known as the conduction angle, cp. Icp and 4 are both ways of writing the Greek small letter phi.) The angle between when the voltage rises and the switch begins to conduct is called the delay angle. Therefore, the delay angle equals 180° — tp. ELECTRONS STREAM FROM -CATHODE TO PLATE GLASS ENVELOPE FILAMENT HEATS 1 CATHODE PLATE + (ANODE) CATHODE EMITS Notice how the switching rate ELECTRONS synchronized to the AC voltage so that the basic frequency of the waveform is still 60 Hz. This means that the AC work is DOT INDICATES IONIZABLE GAS GRID transformers designed for 60 Hz. This synchronized switching can be acwill still in complished by having the switching device auto- Fig. 5-3 76 IN TUBE Thyratron circuit symbol and diagram However, unlike ordinary vacuum tubes, once the electrons start to flow through the grid, the mercury vapor becomes ionized. The tube glows a pretty purplish blue, and the grid loses control of the electron stream. The electrons will continue to stream from the cathode to plate until the voltage on the anode is reduced to the point where the ionization will be "extinguished" and the current path through the ionized gas disappears. Once the ionization is gone, the grid again acquires the ability to turn on the cathode to D. The P-N-P-N Diode The P-N-P-N diode is a four layer sandwich of N-type and P-type semiconductor. It is called a diode because it has onlv two terminals. HOLDING CURRENT ON V. plate current. OFF To summarize, thyratrons IS TU RNS QN - .75 REVERSE CHARACTERISTIC are a switch that can be turned full on by a small signal on the grid, but cannot be turned off until the current flow stops of its own accord. In other words, the plate voltage must drop to the point where the vapor ionization is extinguished. C. - VOLTS -Vfsv FORWARD LIKE A SWITCHING VOLTAGE NORMAL PN DIODE -I — Vfbv FORWARD BLOCKING VOLTAGE Thyristors Fig. 5-5 P-N-P-N diode characteristics P-N-P-N diode volt-ampere honor of the thyratron, semiconductor devices that behave like it are called thyristors. characteristics In They The volt-ampere characteristic of this diode is seen in Fig 5-6 The construction resembles two P-N diodes in series so it is not surprising that the volt- ampere characteristic is similar. In fact, the reverse characteristic is identical to what you are functionally like the thyratron in that once they are turned on by a control signal, they can't be turned off by the control signal. The main stream current must return to zero before the gate or trigger can be reset. would expect from two P-N diodes p Thyristors have four or more N-type and P-type semiconductor layers. Their construction and operation is related to bipolar transistors, but can also be argued that their circuit symbols and volt-ampere characteristics strongly resemble ordinary silicon diodes. N P N P in series. N it ANODE ?* There are four different types of thyristors. They are silicon controlled rectifiers P-N-P-N diode. They are all based on the P-N-P-N diode, therefore we will triacs, ^ (SCRs), diacs and the discuss this type The P-N-P-N diode is equivalent complementary transistors wired together. Fig. 5-6 first. The forward CATHODE Fig. 5-4 €> characteristic is to two also similar, but the P-N-P-N diode has difficulty starting to conduct. As the forward voltage is increased, the ANODE CATHODE CATHODE diode does not conduct until a large voltage, called the forward switching voltage, is reached. This voltage is typically 10 to 15 volts. After this point the diode abruptly turns on. It passes a large current and the voltage across it abruptly ANODE P-N-P-N diode symbol drops. 77 leakage current will begin to turn on at least one of the transistors. As soon as one begins to turn on, its large collector current will surely turn on We saw that bipolar transistors did not two P-N diodes wired together because the thin base layer can be overrun by electrons (or holes) from the emitter. In the same behave like At this point the two transistors will turn each other full on almost instantly. This explains the abrupt drop between the forward switching voltage and the on state voltage. the other. way, the P-N-P-N diode behaves unexpectedly because the two center layers are very thin. This device can be thought of as a P-N-P transistor wired to an N-P-N transistor so that each base is connected to the collector of the other. P-N-P-N CAPACITOR AND DIODE what happens when you try to turn one of these devices off by decreasing the mainstream current? As the current through the two tranSo, sistors is decreased, eventually a point will be DIODE reached where there is not enough collector current to keep the other transistor turned full on. As soon as one transistor is not getting enough base current to stay full on, it will decrease the base current of the other. Both transistors turn each other OFF as abruptly as they were turned on because this is a runaway situation. When the P-N-P-N diode turns off, the voltage jumps up to the forward blocking voltage which is usually slightly lower than the forward switching volt- CAPACITOR CHARGES TOWARD BATTERY VOLTAGE, BUT P-N-P-N .DIODE FIRES FIRST age. VOLTAGE Relaxation oscillator FORWARD SWITCHING VOLTAGE A P-N-P-N diode can be wired across a pacitor to build a relaxation oscillator. Fig. 5-7, a simple RC circuit is As seen ca- in charged with a bat- tery. The diode does not conduct until the forward switching voltage is reached. Until this happens, the diode is effectively out of the circuit. At this point, the diode suddenly turns on and effectively shorts out the capacitor. The charge stored in the capacitor leaves through the diode so the voltage across it falls. The capacitor soon discharges so far that there is not enough current passing through the diode to keep it turned on. The dioce abruptly turns off and the voltage'' across the capacitor begins to rise again toward the forward switching voltage. The larger the resistance and CURRENT PULSES THROUGH P-N-P-N Fig. 5-7 DIODE the larger the capacitance, the slower the oscillation cycle because more time is needed for the capacitor to charge on each cycle. Relaxation oscillator Each of these transistors is forward biased when collector current flows from the other tranturned off, it easy to see why neither one wants to turn on. There is nothing but leakage current from each collector entering the two bases and this is quite sistor. If the transistors are initially 3. Storing information is P-N-P-N diodes can also be used as memory elements. In other words, these diodes can store information. If the voltage across the diode has not been higher than the forward switching voltage, the P-N-P-N diode can "remember" this fact, by not being turned on. small. However, as the voltage across the tranbecomes higher and higher, eventually the sistors 78 + ok DC SUPPLY s: s: ON - s: OFF 51 OFF s: ON s: ON OFF O >--- f r r STORED. BINARY NUMBER "V TO READ/WRITE CIRCUITRY An Fig. 5-8 P-N-P-N diode "memory. " Each P-N-P-N diode can "remember" one On the other hand, if the voltage has been higher than the forward switching voltage, the on after is of information. turned on, but not so much current unduly burden the power supply. In summary, each P-N-P-N diode can "remember" one bit of information and a number of them can record a large binary number. that diode will remain turned on for weeks or months provided that there is enough current flowing through it to keep it turned on. This minimum current it is bit it will called the holding current. if you had 24 diode memory ciryou could remember a 7 digit telephone number. Computer memories have been built this way, but transistor memory circuits are the most common. As we shall see shortly, the most common use for P-N-P-N diodes is for turning on For example, A resistor in series with each diode insures that the diode will draw enough current cuits, to stay NEON silicon controlled rectifiers. BULB 45 E. VOLTS Inert Gas Lights and Voltage Regulators Neon X bulbs Just so you don't think we are completely off the subject, neon gas light bulbs are often used to turn on SCRs and triacs. They behave very much NEON FLASHER like P-N-P-N diodes. The neon light is simply two electrodes inside an evacuated glass envelope. A amount of neon provides the electrical pathway once the voltage across the electrodes small + > INVERTER — 10 VOLTS - ionizes the R neon gas and lights the bulb. CONVERTS VOLTS DC TO 500 VOLTS DC 12 The neon bulb resembles the P-N-P-N diode must reach a high voltage before the gas ionizes and begins to conduct. Once the gas // i in that it ~c L_ ionizes, the voltage across it lights a lovely orange color. drops and the bulb are used Neon bulbs on everything from coffee makers little power and when used with a series resistor, they can be operated directly off the 120 volt AC line. for pilot lights STROBE LIGHT Fig. 5-9 Neon flasher and an SSTfUBE to stereos. aircraft strobe light 79 They consume very The Electronic flashes for cameras generally use an audio frequency for the AC voltage and this accounts for the "squeal" that you hear while the strobe light is charging its capacitor. In summary, neon and xenon lights can be thought of as 5-9) can be neon bulb in place of the P-N-P-N diode. Of course, the neon bulb lights up every relaxation oscillator (Fig. built using a time it discharges the capacitor, so this circuit is an easy way to build a flashing light. Flashers like this have been used to mark road construc- self-triggering versions of the thyratron. tion sites. Neon flashers and strobe With neon and xenon gases there is a pronounced difference between the voltage needed to ionize the gas and the voltage at which the gas is extinguished and stops conducting. With combinations of inert gases and special electrode design, it is possible to build devices that have very little difference between the ionizing voltage (ignition voltage) and the extinguishing voltage. lights is another inert gas and makes a blue-white light when ionized. Xenon flashtubes are built like neon bulbs and are used Xenon brilliant for aircraft strobe lights and electronic flashes for cameras. A drawback to the neon and xenon flashers is power source must have quite a high voltage, 45 volts and much more for larger bulbs. Since an aircraft or a portable camera flash have that the DC Tubes like this were used for voltage reguand are still available in a variety of voltages from 75 up to about 250 volts. These lators battery voltages far less than this, an electronic inverter is used to convert the low DC voltage to a high DC voltage to charge the capacitor. The voltage regulator tubes were used exactly the way that zener diode voltage regulators are used You may today. find them occasionally in old equipment. They resemble vacuum tubes but can be recognized by their beautiful pink, blue, or pur- inverter consists of a transistor oscillator which generates an AC voltage. The AC voltage is passed through a voltage step up transformer to produce AC voltage. The high AC voltage is then rectified and filtered to make high DC ple glow. + ANODE P N a N CATHODE - voltage. 6 GATE (TRIGGER) > + CATHODE - ANODE GATE UNREGULATED DC VOLTAGE REGULATED DC VOLTAGE * 2ENER DIODE +ANODE > "> CATHODE A GATE TRANSISTOR EQUIVALENT OF AN SCR > Fig. 5-11 VOLTAGE DROPPING F. RESISTOR The silicon controlled rectifier Silicon Controlled Rectifiers (SCRs) controlled rectifiers are very much thyratron in terms of what they do. They Silicon like the VOLTAGE REGULATOR TUBE > REGULATED DC VOLTAGE 75 TO 250 VOLTS The difference is that one of the two "bases" of the internal tranare built like P-N-P-N diodes. sistors is given a lead to the outside world. This ^ lead or control gate introduces a small control current into the base of one of the transistors and makes the device turn on Voltage regulator tubes are used like Fig. 5-10 zener diode voltage regulators. it 80 ordinarily would. at a lower voltage than X 1 SCR VOLT-AMPERE ON STATE CHARACTERISTIC HOLDING CURRENT ON h OFF -V ZERO GATE CURRENT -I THE SCR CHARACTERISTIC IS LIKE THE P-N-P-N DIODE EXCEPT THAT THE FORWARD SWITCHING VOLTAGE MAY BE REDUCED BY ADJUSTING THE GATE CURRENT ENLARGED FORWARD BREAKOVER CHARACTERISTIC Fig. 5-12 SCR Silicon controlled rectifier volt-ampere characteristic would not fully illuminate a light which was designed for both halves of the AC cycle. No matter how high the gate current is, the SCR will still conduct only the positive half of the AC cycle. volt-ampere characteristics The volt-ampere characteristic for an SCR is seen in Fig. 5-12. When the control gate current is zero, the characteristic is just like the P-N-P-N However, as more and more current is introduced into the gate, the forward switching voltage becomes lower and lower. When the gate current is very high, the entire volt-ampere characteristic is not very different from a silicon P-N diode. G. The we showed an SCR which provides the gate current can be simple or complicated depending on how much control is needed over the conduction angle. The circuit shown in Fig. 5-13 can turn the SCR completely off or completely on. for the diode. In Fig. 5-2 Controlling the circuitry SCR electronic switch table. However, because the triggering current is derived from a sine wave, the SCR must trigger before or while the sine wave reaches its positive peak. The trigger current will never get any higher than the positive peak, so if the SCR is going to turn on, it had better do it by then. Since the SCR is turned on before the 90° point if it turns on at all, the SCR will remain on from at However, if the lights were designed for household AC, the rectified AC from a single SCR least 90° to 180°. This means that the smallest conduction angle available from this simple circuit is 90°. This is 25% of the complete AC cycle. controlling both the positive of the sine wave cycle. It and negative halves should be clear from the volt-ampere curve for the SCR that it can only turn on during positive half cycles. This means that if an SCR were being used to control lights, the lights would see pulsed DC current and not AC current. For some applications this is accep- 81 Vload A cp HIGH R = 90° ANGLE L\ AC SUPPLY -t LOAD RESISTOR LOWR cp = 180° ANGLE -»»t THE VARIABLE RESISTOR DETERMINES WHETHER THE SCR FIRES AND WHAT CONDUCTION ANGLE IT WILL HAVE BETWEEN 90° and 180°. VERY HIGH R KEEPS THE SCR OFF. (op = 0°) Fig. 5-13 For many The simplest devices, such as soldering irons, SCR control circuit pletely off) motors, or light bulbs, 25% or even 50% of the complete AC cycle is not enough to make it work properly. For example, a light bulb will barely up to 180° positive half of the R-C glow with 50% of the voltage, a motor may not even turn over, and a soldering iron may be too cool to melt solder. So 25% (or 50%) may be just as good as full off in these applications. AC which is full on for the cycle. integrator circuit An SCR triggered with an R-C integrator cir- Because the voltage across a capacitor can't change quickly, this circuit will fire later than the one shown in Fig. 5-13. cuit is seen in Fig. 5-14. The voltage across the capacitor is a sine wave, but it lags the sine wave voltage across the SCR. For other applications it is desirable to vary the conduction angle continuously from 0° (com- LINE VOLTAGE CAPACITOR VOLTAGE LAGS BEHIND LINE VOLTAGE AND TRIGGERS SCR VERY LATE WHEN R IS LOW, CONDUCTION ANGLE APPROACHES 180° NARROW MINIMUM CONDUCTION ANGLE, ABOUT 45° WITH HIGH R Fig. 6-14 R-C triggering network for an 82 SCR. This means that the sine wave on the gate will have its peak later and therefore it can trigger the SCR after the SCR sine wave has passed its peak. This delayed sine wave is said to be phase shifted. Another way to look at this is that the needed to fire the SCR. The is temperature sensitive because the hotter the SCR becomes, the earlier it fires and the larger the conduction angle becomes. If the SCR is controlling a heater, like a hair dryer, the heat from the dryer could make the gate current that circuit R-C SCR an integrator. The capacitor is still charging and its voltage is still increasing after the sine wave has passed its peak voltage. By proper selection of values of R-C, the SCR can be made to fire after the sine wave has passed its circuit is Now it is practical to vary the conduction full This is still we would like. The capacitor has the that it make up to nearly the short of the 0° to 180° that SCR 180°. additional advantage serves as a low pass filter which helps the SCR immune to triggering from short 5-7 In the circuit of Fig. 5-14 the gate current up gradually as the sine wave becomes positive. When the sine wave As we we studied in Figs. make good pulse generators for this Whenever the P-N-P-N diode or neon The relaxation oscillators 5-9 shown in Fig. 5-15. Ingition system A common primarily dependent on the temperature of the transistor. The hotter it is, the more leakage current there is and the less application for the SCR is in automobile ignition systems. As you probably know, the ordinary automobile ignition system consists of breaker points, a high voltage transformer, and a rotary switch (the distributor) which fires each spark plug in turn. See Fig. 5-16. learned in the last section, the leakage is fire. a combina- is tion of the gate current plus the leakage current. current in a transistor need to and circuit is voltage reaches the forward switching voltage determined by the gate current, the SCR "fires." The current that triggers the SCR hotter! bulb conduct, they pass a short, intense current pulse as they discharge the capacitor. If the gate of the SCR is placed in series with the P-N-P-N diode, whenever the P-N-P-N diode fires it will turn on the SCR. A relaxation oscillator triggered builds more and more will purpose. may be on the line due to noises from the brushes of electric motors. voltage spikes that still is 5-14 Fig. This problem can be greatly improved by turning the SCR on with a circuit that generates a precise, short current pulse when the desired conduction angle is reached. This is preferable to having the gate current build up gradually since you can't predict exactly how much current the peak. angle from about 45° in P-N-P-N DIODE FIRES SCR LINE .VOLTAGE VOLTAGE ACROSS LINE SCR P-N-P-N AND DIODE CAPACITOR VOLTAGE <St AC SUPPLY THIS- VOLTAGE ACROSS RESISTOR' LIMITS" GATE CURRENT P-N-P-N Rload A^V P-N-P-N X DIODE K SCR FIRES Fig. 5-15 SCR half-wave relaxation oscillator control circuit 83 DIODE AND CAPACITOR O HIGH VOLTAGE SECONDARY + 12V BREAKER POINTS VOLTS 10,000 rr . o^ o I! I SPARK ^ . W SPARK PLUGS / DISTRIBUTOR ASSEMBLY Fig. 5-16 Ordinary automobile ignition system vent a sudden rise of voltage across the breaker points because voltage can't change suddenly across a capacitor. This prevents excessive sparking at the breaker points so that they will not burn out quickly. Breaker points To make tery is DC from the batprimary of the that does this, the a spark, 12 volts briefly switched to the transformer. The switch breaker points, is part of the distributor. Even with the The distributor has a central shaft which capacitor, the sparking across the breaker points erodes is them and ordinary igni- need of a tune-up. The capacitive discharge ignition system was developed to prevent sparks at the breaker points and to produce a bigger voltage across the spark turned by the engine and closes and opens the breaker points for each spark. When the switch closes, a current flows through the primary winding to ground. When the points open, the sudden change in current through the transformer inductance causes a huge voltage to appear across the secondary winding of the transformer. tion systems are usually in plugs. Capacitive discharge system The capacitive discharge system substitutes for the breaker points. Wear and tear on the breaker points is eliminated by not having This large voltage, typically 10,000 volts, causes a miniature lightning bolt, the spark, to jump across the tip of a spark plug. A rotary switch inside the distributor directs the spark current to the correct spark plug. The capacitor on the primary side of the transformer helps pre- an SCR sparks of the jump SCR across the breaker contacts. Instead operating directly off the 12 volt bat- tery supply, the SCR discharges a capacitor. This DISTRIBUTOR ASSEMBLY + 12V ^vWV ^K BREAKER POINTS f\. ^i INVERTER CONVERTS Q VOLTS DC TO 400 VOLTS DC 12 o V y Fig. 5-17 o- SPARK 1 Simplified capacitive discharge ignition system. M M 1 ROUTE OF POSITIVE CURRENT DURING POSITIVE HALF CYCLE ROUTE OF POSITIVE CURRENT DURING NEGATIVE HALF CYCLE V j / *5 TRIGGER CIRCUIT Fig. 5-18 is done because the SCR must Full-wave turn on a current turn off by itself. Remember, the has no way to turn OFF a current. will SCR circuits positive half cycle. "Z" shaped path that will eventually return to zero so that the SCR LOAD 5 AC SUPPLY SCR from right to left Another way from as shown. makes a left to right, then to control both halves of the sine 12 volt supply, but very high voltage sparks can be achieved by charging it with a high DC voltage. Therefore, the capacitor is charged with an inverter just like the ones used in camera flashes and strobe lights. The capacitor is charged to 200 or more volts. This gives a very large surge of current through the transformer primary and results in two or three times more spark voltage than ordinary ignitions systems. See Fig. 5-17 Controlling Full-Wave positive current wave cycle is to use two SCRs in inverse parallel. The two SCRs are wired so that one of them will always be in a position to conduct. The trigger circuit must be able to drive both SCRs which means that separate trigger signals of the proper polarities must be generated during both halves of the AC waveform. The two gates can The capacitor could be charged with just the H. The first not be connected together because the SCRs would be damaged. AC Power /. A limitation of the SCR and thyratron is that they only conduct in one direction. Fig. 5-18 shows two ways of conducting both halves of the sine wave with SCRs. The upper one is the most clever. In order for the SCR to conduct, the anode must be positive. A bridge rectifier can accomplish this by routing positive current to the anode on the negative half cycle as well as the TRIA CS and DIA CS The TRIAC is a device which can be thought two SCRs wired in inverse parallel and mounted in the same package. Actually, they are made as a single semiconductor device with 5 of as SCRs, both halves of the wave cycle can be controlled with a single layers. Unlike separate sine gate signal. 85 / 1 \ 1 ,' 1 N \ / \ o- TERMINAL N N P #2 - - " 1 1 1 ? n ° GATE • \ / \ / P m^tiv-i' / TERMINAL \ :1 O #1 / _•>" ^. DASHED LINES SHOW SCRS BUILT INTO TRIAC GATE TERMINAL #2 TERMINAL CIRCUIT Fig. 5-19 The TRIAC SCRs in inverse parallel. Earlier we developed an SCR firing circuit which used a neon bulb or a P-N-P-N diode relaxation oscillator. This same circuit can be used to The dashed lines surrounding the top and bottom of the TRIAC construction diagram point out that the device is essentially two SCRs in inverse parallel. The single gate contact manages to by means SYMBOL can be thought of as two inject current into the center layers of both drive the TRIAC. SCRs One P-N-P-N diode only one direction so only one half of the sine wave would be triggered. This problem can be solved by using a neon bulb which can be ionized in both directions and therefore will drive of its strategic location. difficulty is that the conducts current The TRIAC volt-ampere characteristic is seen in Fig. 5-20. It is really just two forward SCR characteristics back-to-back. the TERMINAL #1 TRIAC in properly. #2 POSITIVE HIGH GATE CURRENT TRIAC OFF ^xz TERMINAL NEGATIVE #2 -I Fig. Fig. 5-20 TRIAC volt-ampere characteristic 5-21 A circuit for a 86 relaxation oscillator phase control TRIAC. TRIAC UM AC SUPPLY DIAC CONSTRUCTION DIAC CIRCUIT Fig. 5-22 The DIAC SYMBOLS bi-directional DOUBLE R-C PHASE SHIFT NETWORKS GIVE A VERY SMALL CONDUCTION ANGLE switching diode Fig. 5-24 The neon bulb does not have a large voltage difference between when it is turned on and turned off. So, better turn-on pulses can be generated using a P-N-P-N diode to discharge the capacitor. P-N-P-N diodes can be used to drive a TRIAC if two are used in inverse parallel. Naturally it wasn't long before the need for double P-N-P-N diodes was recognized and this creation was ed the DIAC. TRIAC full-wave proportional shows a typical full wave AC conthe kind you would find in a hair dryer or an electric drill. This full wave system acFig. 5-24 trol circuit of complishes all the goals we outlined at the beginning of the section. It is relatively cheap and simple and it is not temperature sensitive. A very wide conduction angle range, 15° to nearly 180° call- on each half cycle, is achieved by using two R-C phase shifting networks in series. The advantage of the DIAC over the neon bulb can be seen by comparing their volt-ampere characteristics. The neon bulb does not switch so In theory, each R-C network could shift a sine 90°, but in practice, as the phase shift approaches 90 °, the amplitude of the phase shifted completely from ON to OFF and the voltage drop is not as great. As a result, the neon bulb does not produce clean, abrupt turn-on pulses. wave sine wave will approach zero. SUDDEN 90% DROP IN VOLTAGE DIAC Because a certain GRADUAL 50% DROP IN VOLTAGE NEON BULB -V -V +V -I Fig. 5-23 -I DIAC and power control circuit neon bulb volt-ampere characteristics. ST minimum amplitude is needed to trigger an SCR or TRIAC, the minimum conduction angle that 10. can be achieved with a single R-C network is about 45°. With two R-C networks in series, this conduction angle can be as low as 15°. 11. Why is high speed switching superior to remeans of attenuating AC cur- sistance as a rent? 2. Why are thyristors preferred over bipolar transistors for controlling 3. power? What all 4. AC property do tunnel diodes share with the devices discussed in this chapter? Why can't an SCR be used as a Hi-Fi am- plifier? 5. 6. 7. What is an inverter? In order to use an SCR in a requirement must be met? DC circuit, Referring to Fig. 5-11, the gate of an what SCR is generally connected to the center layer closis called a cathode have an anode gate est to the cathode. This Some SCRs gate. also connected to the type N center layer. How would a trigger signal designed for the anode gate differ from one intended for the cathode gate? 8. Suppose the anode of an the cathode gate of the ance so that there is SCR is connected to SCR by a low resist- a large gate current whenever positive voltage is on the anode. device will the volt-ampere characterof this circuit resemble? What istic 9. the advantage of using relaxation is Why is a TRIAC SCRs wired QUESTIONS: 1. What oscillators to trigger thyristors? A simple control circuit for a TRIAC is What conduction angle(s) would you expect from high, medium and low control resistance levels? shown below. TRIAC ft R LOAD CONTROL RESISTANCE 88 easier to trigger than in inverse parallel? two SECTION VI FIELD EFFECT TRANSISTORS A. Introduction put resistance Field effect transistors (FETs) have so that essentially zero current is required to turn an FET on or off. When turned off, the is extremely high, virtually in- finite, many im- resistance they present to the current flow they advantages over bipolar transistors. When produced as integrated circuits they are cheaper than bipolar transistors because they use far less silicon chip area and the circuits require fewer parts to do the same job. Field effect transistors make it possible to power a digital watch for a year with a battery the size of a pea. If your digital watch used bipolar transistors, you might need a knapsack to carry the battery. portant are controlling can be extremely high, 10 billion ohms. When turned on, this output resistance can be very low. When controlling small currents, the voltage across the output can approach zero when the transistor is turned on. We can summarize these features by saying that the FET approaches a perfect voltage controlled switch and wastes very little power. FETs are relatively immune to changes in temperature and are easy to use in analog circuits with a minimum of biasing resistors. FETs generate less radio noise during operation than vacuum tubes. As a result, they are preferred for sensitive radio preamplifiers and mixers. bipolar transistors or In digital circuits they may be used without resistors at all. This property makes them perfect for integrated circuits where resistors are awkward to "print." In FET integrated circuits, FETs themselves are used in place of load any and extremely complex circuits are or thousands of FETs and practically no resistors, capacitors, diodes or other kinds of components. resistors made from hundreds Fig. 6-1 and An assortment of field effect transistors FETs have one ICs. disadvantage that has kept between them from making bipolar transistors obsolete. They are slow and generally have much smaller bipolar transistors is that they are voltage controlled not current controlled. The in- gain-bandwidth products than bipolar transistors. This means that calculators, computer The major functional difference FETs and 89 memories, microprocessors, and a whole host of products made from FETs run more slowly than equivalent devices made from bipolar transistors. • For example, a typical FET logic circuit can perform about 1 million operations per second, although the latest models can exceed 4 million. In contrast, some SOURCE bipolar transistor digital circuits Another disadvantage FETs of O (ELECTRONS ENTER AT (ELECTRONS LEAVE AT THIS END) THIS END) applies only FET (MOSFETsi VOLTAGE ON GATE CONTROLS ELECTRON and concerns the technician more than the engineer. MOSFETs are very easily damaged by static electricity. This means that when MOSFETs are installed or removed from circuits, they must be handled carefully to avoid damaging them. B. DRAIN O can exceed 300 million operations per second. to the metal-oxide-silicon N-CHANNEL SOURCE Junction Field Effect Transistors ductor. This piece is N or type 6-2 Construction and symbol for an Nchannel junction FET iJFET). Fig. P semicon- called the channel. The cur- being controlled by the transistor travels from one end of the channel to the other without passing through any P-X junctions. Technically, there are FET designs that do have modified P-N" junctions in the channel. However, they don't act like P-X junctions because the electrical carriers that pass through a FET channel are all electrons if it is a type X channel or all holes if it is a type P channel. Since only holes or rent that is electrons are involved, these transistors are way toward the positive side of power supply. For a P-channel FET, the source is where the holes enter the channel and the drain is where the holes leave the channel on their way toward the negative side of the power channel on their the DC supply. Gate call- ed unipolar transistors. The Source and Drain of the FET at control lead for a FET is called a gate. In one design of the X-channel junction FET. the gate is actually two P-+- regions which surround the main channel piece of semiconductor. The gate forms two equal P-X junction diodes with the channel, but channel current never passes through the junctions. The gate is almost always operated back biased so that the gate current, which is analogous to base current, is just the leakage current through a back biased P-X diode. That is why the gate current is so low. Because there is no official P-X junction along the path of the channel, there is no obligatory 0.6 volt silicon P-X junction voltage drop. This is why the voltage across a turned-on FET can approach zero. The lack of P-X junctions also allows current to flow through the channel in both directions. The two terminals DRAIN GATE All field effect transistors are basically built around a single piece of type GATE FLOW each end of The more strongly the P-X junction between is back biased, the more com- the channel are called the source and drain. The source is where the majority carriers enter the channel. The drain is where they leave the chan- the gate and source the FET is turned off. When a large voltage back biases the gate-to-channel junction, the region in between the two gates becomes completely nel pletely depleted of carriers. an X-channel FET the conduction band electrons are the majority carriers. So the source is where electrons enter the semiconductor and the drain is where electrons leave the For example, In the case of an X-channel device, a large negative gate voltage will completely strip the X-channel of conduction band electrons and the channel will cease to be a conductor. This is called in 90 pinching off the channel When the FET is turned off, the leakage current is surprisingly small, a few nanoamperes or less. This is roughly one hundredth of the leakage current of a silicon bipolar transistor. Junction FETs are also made with a single gate-to-channel junction design that is suitable for production in integrated circuits. N.CHANNEL OUTPUT CHARACTERISTIC I 1 < I Vgs = 0.2V 5 E 1 -0.5V \ UJ oc oc NEGATIVE TO Rl DOES NOT CONDUCT -P -1.0V o z < oc o X I -1.5V J I I -2.0V - 2.5V -3.0V / < J ,. * .• 1 10 ZZT" POWER SUPPLY 20 30 40 50 Vds DRAIN-SOURCE VOLTAGE (VOLTS) P-CHANNEL OUTPUT CHARACTERISTIC i -0.2V BIASING AN -0.7 NCHANNEL < % -0.6 Vgs = -0.5 oc oc O z ? < > Rl PLUS TO N DOES < o Q NOT CONDUCT ^V 4 X I * -0.4 + 0.4V -0.2 POM/PR J I + 0.6V -0.1 p + 0.2V -0.3 '+1.2V ~ +1.0V" ^+0.8V r=±= =4= =h= SIIPPI Y -5-10-15-20-25-30-35-40 Vds DRAIN-SOURCE VOLTAGE (VOLTS) + + "* Fig. 6-4 nel Volt-ampere characteristics for P-chan- and N-channel JFET's. that the junction BIASING AN P-CHANNEL FET is operated with the junction back biased The curves acteristic family are quite flat Fig. 6-3 Back biasing junction of a the gate-to-channel JFET keeps it P-N of the char- showing that the FET output a good current source that depends far more on the control voltage than it does on the P-N is turned off supply voltage. Turning the JFET On Looking again at the volt-ampere curves for the JFETs you can see that there is a dramatic Turning the JFET on can be done by merely disconnecting the gate from any voltage or by connecting it to the source. As can be seen in Fig. 6-4, a little more source-to-drain current can be made to flow by placing a small amount (=0.2 volt) of forward bias on the gate as shown. Actually, this is still less than the 0.6 volts needed to make the P-N junction conduct. So, we can say limit to how much drain-to-source voltage the transistors will tolerate before they break down. Each curve in the family takes off straight up as soon as the maximum drain-to-source voltage is exceeded. This breakdown is comparable to a zener breakdown in a diode in that it doesn't hurt the JFET as long as it doesn't overheat. 91 Wiring FETs Current regulator diodes are made from junc- in Circuits tion field effect transistors wired internally to hold the current constant. Since the channel is a single "piece" of semiconductor, you might be wondering if there any difference between the drain and the Some FETs are built symmetrically so that drain and the source are interchangeable. In other words, you can wire it either way and it will is source. turns the JFET work just fine. However, some FETs are designed so that most of the voltage drop across the transistor occurs at the drain end so this end is made physical- way ly larger. In this more power than resistance in series off. + i DESTRUCTIVE TYPICAL VOLT-AMPERE BREAKDOWN CHARACTERISTIC the transistor can dissipate a symmetrical design. this is indicated by showing the gate arrow closer to the source end of the symbol in- Sometimes stead of centered between the source and If A with the source produces a voltage proportional to the current flowing through the JFET. This voltage is connected to the gate so that, the higher the current through the diode, the more it you have trouble remembering how Ireg 2 mA CURRENT REGULATING RANGE -V drain. REVERSE to wire FETs, remember that N-channel FETs are wired with polarities like an N-P-N transistor and the 75 50 25 IS PRACTICALLY A SHORT CIRCUIT +V 100 VOLTS DC P-channel FETs are wired like a P-N-P transistor. For you old timers, N-channel FETs are wired like triode C. vacuum tubes. Field Effect Current Regulator Diodes Field effect current regulator diodes are made Generally, the constant current that these from junction FETs. They are the functional opposite of zener diodes. As you recall, zener diodes by holding the voltage across them constant, while the current through them varies widely. Current regulator diodes hold the across them them constant while the voltage some of them will varies. In fact, hold the current rock steady for over a 100 to re- very small, a few milliamperes. However, several diodes can be put in parallel if larger currents are needed. Because they are so accurate, they are preferred over zener and stabistor diodes as calibration reference standards for digital voltmeters. In a typical digital multimeter a regulator diode is made to pass a fixed current through a precision resistor. This provides a standard voltage which is compared gulators pass regulate voltage current through Field effect current regulator diode Fig. 6-6 1 voltage variation. against the is unknown voltage. 9 ANODE D. + The Metal-Oxide-Semiconductor FET (MOSFET) N-CHANNEL Metal-oxide-semiconductor JFET FETs) were introduced in 1967. FETs (MOSThe name de- scribes the gate construction of these transistors. The gate is a thin layer of aluminum metal deposited on an insulating layer of silicon dioxide, The gate is designed like a tiny capacitor with the semiconducting channel acting as one side of the capacitor and metal gate as the other. glass. CATHODE CATHODE SYMBOL The glass of course serves as the dielectric in- There is no such thing as the perfect insulator, but glass comes pretty close. The glass sulator. Fig. 6-5 cuit Current regulator diode equivalent cir- and symbol insulation 92 means that the gate-to-channel resist- ance is current. virtually infinite and the gate draws no The gate does have some capacitance, N-type semiconductor in the chanThis process depletes the N-type semiconductor of conduction band electrons and turns the will leave the a nel. few picofarads, so it is necessary to charge and discharge the capacitance to change the voltage transistor off. on the gate. The gate insulator is very thin, one ten is subject to damage by voltages above 20 volts for small MOSFETs and millionth of a meter, and above 80 volts for large posite to FETs. This doesn't sound the opposite of will sistor. 1. Enhancement MOSFETs There are two basic kinds of MOS tranenhancement mode MOSFETs and Channel cut off sistors, the the depletion JFET, is which has a polarity opthe one which caused depletion is put on the gate, the charges that gather in the channel increase the number of majority carriers available for conduction. This increases the conductivity of the channel and turns on the tran- very serious until you realize that when the current is virtually zero, very little power is needed to produce 80 volts or even 80,000 volts. If you don't believe this, scuff your rubber soled shoes In the MOSFET operation depletion. If a voltage is on a wool rug and go touch a brass door knob. The spark that jumps to the knob is propelled by several thousand volts. If the door knob had been the gate of a MOSFET, the gate insulator would have been punctured instantly. The other mechanism for enhancement and called the channel is turned off by the charge depletion that occurs when the gate-tochannel P-N junction is back biased. In a MOSFET the conductivity of the channel is increased or decreased by charging the capacitance between the gate and channel. In the depletion mechanism, majority carriers are removed from the channel in the same way they are in a junction FET. As the gate-to-channel capacitance is charged, an opposite charge will gather in the channel on the opposite side of the insulator. For example, if the MOSFET is an N-channel type and electrons are forced onto the gate by a negative voltage, an equal number of electrons mode MOSFETs. As the name im- enhancement mode MOSFETs use only the enhancement mode operation. The gate voltage plies, carriers into the channel In fact, the enhancement MOSFET channels are induced into semiconductor of the opposite type to the kind of channel induces majority semiconductor. desired. For example, conduction band electrons are induced into P-type semiconductor to make the channel into an N-channel MOSFET. As positive voltage is applied to the gate of an N-channel device, the first few electrons induced into the channel semiconductor must fill in the holes already there in the P material. Once these holes GLASS INSULATOR- SOURCE ALUMINUM CONTACTS GATE 0.1m P-CHANNEL INDUCED IN N-TYPE SILICON SUBSTRATE Fig. 6-7 P-channel enhancement type, 93 IS N-TYPE SEMICONDUCTOR MOSFET METER are "filled,'' the induced electrons can begin to enter the conduction band The importance channel. to establish an N-type scheme of this that is turned are shown . an N-channel, they are were P-channel, they positive. If the transistor which straddle the zero voltage gate to source voltage, Vg S A P-channel depletion mode MOSFET is just like an N-channel, but all the pluses and minuses are be negative. Depletion We characteristics MOSFETs are belaboring in figure 6-9. for point 2. with a without redesigning Once again the gate voltage, Vg S is labeled each curve in the family of output characteristics. Note that when the gate voltage is zero, the depletion mode MOSFET is half turned on. This is more easily seen in the typical C*typ") transfer , all MOSFET mode and you cannot MOSFET is a little more complex, the construction is similar to the otherwise but enhancement type. The volt-ampere characteristics for a depletion mode N-channel MOSFET the family, a gate voltage, Vg S is given. It is important to notice that every gate voltage, from fully turned on to fully turned off, is the same would different The depletion type Volt-ampere and transfer characteristics for an N-channel enhancement MOSFET are shown in Fig. 6-8. For each output volt-ampere curve in all enhancement mode the circuit. off. polarity. In this case, with MOSFET is depletion it makes the transistor '"fail safe." In other words, whenever the gate voltage is zero, the transistor is Hon mode replace an all this because the deple- the of . reversed. OUTPUT CHARACTERISTIC OUTPUT CHARACTERISTICS 16 20 VBS = VGS = 10V v Bs = o + 4V < £ E 16 z 12 qw + 2V LU HI CC cc => CC DC =3 12 8V o z < cc Q V 1 1 o z - 8 VGS = < d Q 1 ) 1 6V — 3V 4 I a -2V 5V |4V *— _4V 1 1 I 2 4 10 8 6 4 TRANSFER CHARACTERISTIC 20 I 16 VDS = = 10V Vbs = = - Unr Vbs = o / / LU DC DC 20 1 16 cc EC 12 2 8 I Mt / D U z < (X o 12 rYP_^ 3 O < cc Q S 6 4 8 -6-4-2 10 Vds DRAIN-SOURCE VOLTAGE (VOLTS) Volt-ampere 6-8 teristics / M IN 4 2 Fig. 16 TRANSFER CHARACTERISTICS 20 E 12 vds drain-source voltage <volts> Vds DRAIN-SOURCE VOLTAGE (VOLTS) < 8 for an unci N-channel, transfer 2 4 6 Vqs GATE-SOURCE VOLTAGE (VOLTS) eharac- Fig. enhancement mode 6-9 teristics MOSFET. MOSFET. 94 Volt-ampere and a depletion for transfer charac- mode N-channel SOURCE GATE DRAIN O i m 1 m ">/////?//// N+ • — -r- J--i. + + + NTYPE _ + N+ NCHANNEL TURNED OFF PSUBSTRATE "BY INDUCED N-channel depletion type, Fig. 6-10 Depletion the depletion When fully mode MOSFETs operate in both mode and the enhancement mode. principle. In order to turn all the enhancement way off, they take carriers out of the channel. Having the depletion MOS- operate in the depletion mode and FET gate voltage swing centered on zero volts ideal for amplifying small AC or radio frequency signals. There is no need to bias the signal to center the "zero" on some DC voltage other than true zero volts. In the next section we will show how these two transistors are actually wired in circuits. makes them substrate there It is internally connected to the source so no need to worry about where for shows the common circuit symbols MOSFETs. The symbols on the right are only used for enhancement types, while the ones on the left can be used for either. Sometimes the gates are shown as "hooks" and other times they look like capacitor plates. No matter how they are wouldn't be necessary to make a big deal symbols if they weren't so con- MOSFET DEPLETION OR ENHANCEMENT ENHANCEMENT ONLY A A r -— GATE ( \ DRAIN DRAIN GATE / ««"" "~\ ~x IT I LU BSTRATEl 7\ GATE / SOURCE u DRAIN \ to I \Jv sourceI SOURCE P-CHANNEL MOSFET DRAIN DRAIN GATE «K SUBSTRATE. SOURCE DRAIN GATE SOURCE' NCHANNEL MOSFET Fig. 6-11 to connect Fig. 6-11 MOSFET Symbols about is the substrate. used E. MOSFET fusing. The confusing part is the arrowhead which sometimes points in the "wrong" direction. And, of course, some symbols apply only to enhancement MOSFETs while others can be used for both depletion and enhancement types. The semiconductor substrate that the MOSFET is made on is occasionally brought out as a separate lead but it is rarely attached anywhere other than the source lead. In most MOS transistors the turned on, they are adding majority carriers to the channel using the HOLES MOSFET symbols 95 are confusing. SOURCE A MOSFET can be used as a load resistor by simply wiring the gate to its own drain. The voltage drop from drain to source is enough to turn an enhancement MOSFET half on. This gives the FET "resistor" about 4000 ohms resistance when most of the supply voltage is across it from drain to source. drawn, they at least give the idea that the gate makes a capacitor with the channel. When the arrowhead is shown on the source lead, it means that positive charge flows in the direction of the arrowhead. This is logical since this makes it like a bipolar transistor emitter. Unfortunately, most diagrams of MOSFETs have the arrowhead drawn on the substrate, that is, on the lead in the middle. This shows the direction of the P-N junction between the channel and the sub-strate. This P-N direction is true enough. However, the substrate is wired to the source which makes the arrowhead point toward the positive side of the power supply, not the direction of flow of positive current. In summary, if the arrowhead is on the center substrate lead, follow the arrowhead as if current flowed in that direction and it will lead toward the positive power supply. you F. NMOS called PMOS FETs cuits the sistors because made N or type P, but and or all the is it way en- are a transistor shows two inverter Fig. 6-13 use enhancement it Each to its "resistor" own substrate chip, each MOSFETs MOSFET has drain to turn common is own shown wired its gate connected Since the on the cannot be in- source. Therefore, to ground. VOLTAGE OUTPUT VOUT + SUPPLY Vdd Vin 1 VOLTAGE INPUT LOAD RESISTOR 1 OUTPUT INPUT > f Nl > > Fig. &12 Basic binary inverter 96 which half-on. substrate dividually wired to its substrates are it circuits for load resistors. to all transistors transistor Vdd ' is make a binary "0." way off, it makes a it is turned all the binary "1." Notice the high current level required to maintain a "zero." can not be both. It is possible to dope wells or islands of the opposite kind of semiconductor into the substrate, but it is easiest to make all one kind of channel MOSFETs on the same sheet of substrate. Therefore the "resistors" should also be made of the same kind of channel FETs. 1 called NMOS When off. usually to When digital cir- themselves are used as load recheaper and easier than try- either type are use transistors in place of resistors, we are going to look at the simplest digital circuit, the binary inverter. This circuit converts the binary number 1 into the binary number zero, or vice versa. In digital circuits the active transistors are always used as switches. That is, they are either turned all the it is is PMOS made made integrated circutis. ICs To show how ing to integrate resistors into the circuit. The semiconductor substrate on which an integrated circuit is are MOSFETs P-channel MOSFET's integrated circuits. turned on, MOSFET that from tirely way on said earlier that in circuits almost entirely from N-channel NMOS and PMOS We MOSFET Digital will see D CURRENT THROUGH RESISTOR l . 1 all The majority of the microprocessors and microcomputers on the market are made from NMOS and PMOS circuits. The circuitry consists transistors themselves. numbers of single kinds of MOSFETs arranged to make inverters, counters, memories, and logic circuits for decoding computer instructions. Complementary digital watch on your made almost entirely from CMOS. They beat other types of logic circuits in almost every respect except high speed. The advantage that makes a digital watch practical is their low power consumption. of vast G. The wrist and the calculator in your pocket are As long MOSFETs (CMOS) as a transistor is turned off, it is not drawing any current and power consumption insignificant. N-channel and P-channel forms gave rise to com- plementary (CMOS). MOSFET CMOS integrated circuits ICs are as remarkable as MOS Q is But when a switching transistor turns on, it draws at least a milliampere or so. If thousands of transistors turn on at once to make binary zeros, the power supply is going to have to deliver amperes to keep them all turned on. The almost non-existent DC gate current of a MOSFET and the ability to build them in both The conventional way - SUPPLY Fig. 6-13. A of doing this is seen in positive signal, a "1," turned on a The drain-to-source voltage dropped from high to low, making the output voltage drop and the load current rise. While the transistor is on, energy is being wasted in the load resistance, even if the resistance happens to be a MOSFET. transistor. Complementary MOSFET circuits solve this problem by replacing the load resistor with a complementary MOSFET which is the opposite channel type as the original MOSFET being switched. This second MOSFET is turned on and off by the same input signal. Since it is the complement, it responds to the input polarity the opposite way; it turns on whenever its complement turns off. PMOS INVERTER The output O of the inverter is tied to the drains of both transistors so the output is either connected to ground or the high side of the power + SUPPLY supply. In either case one transistor is always turned off and never flows. A small "spike" of current flows significant source-to-drain current whenever the inverter makes a transition between high and low, but whenever the circuit is quiet or "quiescent," the current through the inverter is just the leakage current. This leakage current can be very small. An inverter as seen in draws less than 1 nanoampere Fig. 6-14 ampere) when it is not actively switching between high and low states. This explains how a battery the size of a pea can power (0.000,000,001 your watch Just to reinforce the idea behind CMOS, we can compare a complementary pair of CMOS transistors to a double pole, single throw relay. The relay consists of two simple switches ac- NMOS INVERTER Fig. 6-13 for a year. PMOS and NMOS inverter circuits 97 Vdd V SOURCE P-CHANNEL I 1 1 1 I ' VlN *~ DRAIN VOUT t /-\ i I " " vJ > DRAIN i i I 4 N-CHANNEL i I i I SOURCE A >d Id t V ' t JL k \£- TINY CURREN SPIKES -QUIESCENT CURRENT 1 NANO AMPERE 6-14 Fig. Complementary MOSFET digital inverter tivated by the magnetic field from a voltage The cond gate can control the gain of the amplifier DC voltage on the second control gate. Because MOSFETs make very little coil. an iron lever arm which opens and closes the two switches. The switches either connect the output to ground or to the positive supply. There is never an opportunity for current to travel from the positive supply to ground through the switches. just by varying a field attracts radio noise, they are preferred over bipolar transistors for sensitive radio frequency amplifiers. Dual gate complementary binary inverter could also be built with bipolar transistors. However, bipolar transistors need 20 times more area to "print" on a silicon chip and they need resistors and extra components to bias them properly. These economic reasons further explain the H. Dual Gate CMOS /. with two control automatic gain control is a circuit that keep the signal level coming out of a receiver constant, even though the signal strength may be rising or fading. The output audio signal from the receiver is rectified and filtered to make a slowly varying DC signal which is used to bias the second gate of a dual gate MOSFET. The first gate is used to amplify the signal while the second gate holds the average signal level constant. Depending on the polarities, it may be necessary to invert the control signal before returning it to the second gate. By "invert" we mean turn a high voltage into a small tries gates allow two signals to control the source-to-drain current For example, if the being used as an amplifier, the se- simultaneously. MOSFET is IRON LEVER OPERATES SWITCHES WHEN COIL voltage or vice versa. HMMi^i INPUT RELAY VOLTAGE COIL OUTPUT ONE SWITCH OPENS WHEN EVER THE OTHER SWITCH CLOSES 2. Mixer cuits. CMOS inverters can be compared Circuits Another common application is in mixer cirIn superhetrodynes the local oscillator signal is mixed with the incoming RF signal to generate a new difference frequency which is the intermediate frequency. The incoming RF signal is fed to one gate and the local oscillator signal is > &15 to IS ENERGIZED Fig. Automatic Gain Control An digital ICs. MOSFETs MOSFETs made are especially attractive for has many situations where it is desirable to change the gain of an amplifier stage or multiply one signal times another. A widespread use of MOSFETs radio receiver circuits because a superhetrodyne to a pairs of switches operated by a relay. 98 fed to the second gate. rent is now The SOURCE source-to-drain cur- the combination of the RF signal o and 1 c -GLASS the local oscillator frequency and contains the SI new intermediate frequency component. 3. Local Oscillators Dual gate MOSFETs are also commonly used For good superhetrodyne important to keep the local oscillator signal a constant level which does not vary over the frequency tuning range of the receiver. To keep the oscillator level constant, one gate serves as part of the oscillator feedback loop, while the other is biased by a DC automatic gain control signal derived from the local oscillator signal for local mixing, oscillators. V it is /// H+ VN+ I \ P P /// / N- J 1 J (LIGHTLY DOPED) N+ ^ DRAIN itself. Dual gate MOSFETs Fig. 6-16 becoming universal are A VMOS power transistor low noise radio receivers. Since most modern avionics receivers use them, you will become very familiar with these versatile on. transistors. verted to an N-channel when the device is turned on. But when it is turned off, it behaves like a in sophisticated, /. VMOS Power VMOS stand for? The current flow." Most It also VMOS power tran- make up devices we discussed above are not only very small in area, they depth on the silicon chip that have so VMOS power transistors still have a breakdown voltage, only volts, more MOSFET enhancement mode but large ones can dissipate 80 watts or Others can tolerate large drain-tosource voltages, 350 volts or more. Because the gate draws no DC current, they can be driven directly by very low power circuits. 80 sistors. The are limited gate-to-source describes the shape of a notch cut in the plane of the silicon chips that transistors reverse biased silicon diode which can tolerate very high voltages without breaking down. Transistors What does the "V" in "V" stands for "vertical VMOS transistors so the layer(s) in the center are con- little they are practically safely. the bottom of the chip so that the source-to-drain For example, a large VMOS transistor can be turned on and off with the voltage output from a low power CMOS inverter. The catch is that the VMOS gate in a large transistor has a high capacitance, 650 pf is typical. So for switching the VMOS rapidly, large currents must be jammed into and pulled out of this capacitance. A single CMOS inverter cannot provide this much current and even several in parallel may not provide enough. So, in practice, a VMOS transistor used for high frequency, high power switching takes about 1/10 the AC driving current that a bipolar power transistor would need to get the same performance. current flows vertically instead of horizontally. This greatly increases the volume of semiconduc- J. two dimensional. The source-to-drain flows horizontally through so tor material, little current semiconduc- that they cannot dissipate heat without being damaged. A typical much MOSFET can dissipate about 0.2 watts or less. If the area were greater, more heat dissipation could be achieved but a larger area of control gate would be needed. The transistors would be even slower, and there are technical in making enough so that the difficulties large gate insulators uniform current does not concentrate at "hot spots." The problem tor in the V is solved by putting the drain on which to dissipate the heat. The purpose of notch is to propagate the effect of the gate How to Protect Integrated Circuits The part into the center of the silicon layers so that the path between the source and drain can be turned of a MOSFET dielectric insulation 99 MOS Transistors that is fragile is and the between the gate and the lowing large voltages to be applied across the transistors are supplied with a small metal band crimped around the leads. If the gate is shorted to the drain and source, obviously the gate-to-source gate-to-source or gate-to-drain. voltage can't channel. Since excess voltage can puncture this insulation, When there damage can be prevented by not the MOSFET nearly always is resistance (conduc- tive path) between the gate and the channel. This prevents a voltage build-up across the gate insu- So a MOSFET installed in a circuit is nearalways safe. The "nearly" can happen when lightning strikes your building or the local electric lines. This is more common than you might think and is a good reason to keep expensive oscilloscopes and other equipment unplugged when not in use, especially during the summer thunderstorm season. In the author's experience, lightning damage to test gear happens, and when lation. ly it occurs, it is usually the rise. MOSFET integrated circuits are sometimes supplied with the pins shorted with a thin metal clip. More commonly they are supplied plugged into a small piece of conductive black rubber foam. The black color comes from carbon black which is impregnated into the plastic or rubber a circuit, is installed in some al- foam to make it conductive. As a general rule, if the foam isn't black, it isn't conductive! Storing ICs by sticking them in white styrofoam is probably worse than leaving them loose in a parts drawer because the act of pressing them into insulating foam may generate enough static electricity to damage them. MOSFET components that need replacing. Lightning damage to ICs is rare, but static damage is common and is most likely occur when transistors or ICs are being han- electricity to dled or installed in equipment. Static electricity is usually generated by rubbing an object against an insulator such as a rug or cloth. When two obrubbed together, and one or both of them are insulators, charge is transferred from one to jects are the other. The direction movement of of the Fig. 6-17 charge depends on the particular materials. For example, if you rub a piece a piece of fur, the rubber will MOSFET shirt is A an easy of rubber with person across a in waxed acquire as body has L. much to ruin rubber soled shoes MOSFETs in Circuits you are already seated at a bench, you are up a charge than when you are walking around. However, if the MOSFETs have the opportunity to be rubbed against insulating surfaces, you may inadvertently charge them. To avoid this possiblity, it is desirable to have the surface of the bench conductive and grounded. In some IC factories, the workers are even grounded by conductive straps worn around their wrists! If it. floor over to his Installing less likely to build transistor's leads against a nylon way ICs and transistors should become negatively charged. If you rub a glass rod with a piece of silk, the glass rod will become positively charged. In either case the moving object acquires a large voltage with respect to ground. Carelessly stroking a MOSFET be stored with their leads shorted by metal clips or conductive plastic foam. walking work bench car as 15 kilovolts on his body. His a capacitance of about 250 pf with re- spect to ground. This capacitance can store only Before installing an IC or MOSFET in a make sure that the circuit is turned off. Even without static electricity, it is too easy to have a pin touch the wrong socket hole and damage the IC. Before removing the IC from its package or foam protector, make an effort to deliberately touch something grounded, like the metal bench or a metal chassis, then remove the IC from its conductive foam or metal clip. While 0.03 joules of energy even at 15 kv, but the voltage is what is dangerous to MOSFETs. When socket, first he reaches over to touch an IC, a tiny spark may destroy the gate without him ever feeling a shock. K Storing Loose When storing MOSFET Devices loose MOSFET ways keep the leads shorted devices, together. al- MOSFET 100 holding the device with one hand, use the other hand to touch the circuit board or wiring of the circuit in which you are installing the part. This should discharge any static voltage difference between you, the IC, and the circuit. Then insert the device in its socket just as you would any IC. Another form of built-in protection is an array of diodes and a resistance which does not allow the gate-to-source voltage to go below ground or above the positive supply. This system is used for inputs of CMOS integrated circuits. The resistance indicated in the circuit is not a discrete resistance as drawn, but is actually part of the two diodes on either side of it. In spite of In a wet, humid climate, damage due to static may be so unusual that you may decide that all this is unnecessary. But if you are working in the Arizona desert, it can be a very expenelectricity sive problem unless these precautions are taken. M. Built-in these protection circuits, these integrated circuits are still fragile and the protective steps outlined n earlier should be followed. ONE OF THE INVERTERS THE CD4049 CMOS HEX MOSFET Protection INVERTER MOSFET gates are frequently protected by diode and resistance networks built right into the IC or transistor. IN + VDD IC. D2 OUTPUT > —vWSA* A simple built-in protection is a zener diode connected from the gate to the substrate or source. Whenever the gate voltage approaches its breakdown voltage, the zener diode will conduct and prevent the gate from being harmed. Many individually packaged MOS RESISTOR IS ACTUALLY PART OF DIODES D-( >AND D i 2 6 -vss transistors are avail- able with or without built-in zener protection. Fig. 6-19 Diode/resistor input protection in a CMOS inverter IC. DRAIN QUESTIONS: GATE — > V ZENER SUBSTRATE 1. In what way is the input gate of an FET functionally different from the base of a S bipolar transistor? DIODE 2. BUILT INTO N-CHANNEL MOSFET SOURCE In bipolar transistors the current that is being controlled by the transistor passes from collector to emitter and passes through two P-N junctions. In an FET the current that is being controlled does not pass through any functional P-N junctions and is therefore "unipolar." DRAIN GATE ? this just interesting or is side of a transistor unipolar? i 1 1 i 3. v\ P-CHANNEL L 1 . 1 ' \ MOSFET WITH Is there any advantage in having the output transistor? COMMON SOURCE AND SUBSTRATE can a junction FET be called "unipolar" if it has a rectifying P-N junction in it? Doesn't this imply that both holes and conduction band electrons are at work in the How SOURCE 4. Suppose you needed a very accurate DC Fig. 6-18 Built-in zener protection for 2 volt voltage for calibrating a digital voltmeter. Using a poorly regulated 10 volt power supply and a 2 milliampere MOS tran- sistors. 101 reference current regulator diode, design a simple voltage source. You may assume that the voltmeter will not draw any appreciable cur- 14. Why does a MOSFET have higher input resistance than a junction 6. When FET? repairing a radio circuit, frequent- it is MOSFET with another similar MOSFET. Does it matter if one is a depletion type and the other is an enhancement type as long as they both have the same current and voltage ratings and the same kind of channel, N or P? ly possible to replace 7. In an NMOS or one PMOS logic circuit, enhancement MOSFETs are used as resistors by connecting the gate to the drain. If you were designing an integrated circuit with depletion mode MOSFETs, would you still connect the gate to the drain to use the depletion 8. Why mode MOSFET are dual gate as a resistor? MOSFETs especially useful in superhetrodyne receivers? 9. You are stranded on Mars because the fuel management computer in your lander module has a faulty digital inverter made from an N-channel enhancement mode MOSFET transistor. You proceed to fix the inverter using an N-P-N bipolar transistor salvaged from an old Viking lander. What changes will be needed in the control gate circuit to make the bipolar transistor compatible with an inverter circuit like the one shown in Fig. 6-12? 10. 11. 12. In a complementary MOSFET inverter, which of the two transistors is the inverter and which is the load resistance? When does a CMOS inverter draw cant amounts of current? signifi- What is there about the VMOS transistor design that enables it to dissipate high power safely. Do you think the VMOS transistors could be easily "printed" in with other components in a complex integrated circuit? 13. List four or five basic steps for installing a MOSFET component that damage from will help is MOSFET from rent. 5. What disadvantage diodes built into a prevent static electricity. 102 static electricity? there in having zener to protect it SECTION VII Transistor Amplifiers A. Amplifiers B. In this section transistors are "amplifier" is know, it we used are going to describe in amplifiers. pretty general, but as means how Before The word you already Amplifiers are used for a number of purposes. They can amplify voltage, current, power, or all three. Sometimes they are used in place of a what a junction ternal impedance of the power to the load. most is is The efficient equal to the in- source. VOLTAGE Rload OUTPUT POWER FET The FET MAXIMUM "amplified" its own drain-to-source current to hold that current constant. Sometimes large OUTPUT bipolar transistors are used as series regulators or POWER parallel regulators to hold power transfer of power to the load when the impedance of the load transformer where a larger voltage or larger curis desired but more power is not important. Sometimes amplifiers just serve as switches or relays. For instance, you might want to switch large numbers of powerful lights on and off for a disco light show or perhaps a price quotation display board in a stock exchange. Sometimes an "amplifier" is just a current or voltage regulator stage in a power supply. we saw how role the resistance of the load plays in the ef- ficiency of the transfer of rent signal to build a current regulator diode. discuss the three basic con- understand impedance matching. Up until now we have talked about transistor amplifiers in terms of the transistor controlling the current through the load. Now we are going to look at controlling a large signal with a In the last section we can figurations for transistor amplifiers, you need to small signal. was used Impedance Matching POSSIBLE ZERO POWER power supply voltage WHEN RL = constant. In a radio transmitter a powerful radio freis generated and delivered to a transmitting antenna. It is usually not practical to generate the entire signal in one single electronic operation. In most transmitters an oscillator generates a very stable, low power RF signal which is then amplified a number of times to reach the desired output power level. In this case, only the frequency of the original signal is preserved by the amplifier. quency signal Rl = Rsource LOAD RESISTANCE. RL The optimum load resistance for transferring power to a load is reached when load Fig. 7-1 resistance equals source resistance. 103 °° 1. Power Calculations review how power is calculated: Power equals voltage times current. To we 2. begin, In Section 4 shall P = V Resistance we talked about "perfect voltage sources." If you could build such a thing, it would have zero internal resistance so that it could sup- ply unlimited current to low resistance loads. I Real power sources, such as amplifiers, always Ohm's law V = is: R I have some internal resistance, even if it is just a few ohms. Whenever the amplifier supplies current to a load, the current is also passing through If we substitute the Ohm's law expression for voltage into the power equation, we get: P = ( I R ) I = I 2 the resistance inside the amplifier. This resist ance will dissipate power and produce heat. If the R resistance inside the amplifier load resistance, more or, Power = (current) 2 X power is larger than the will be wasted mak- ing hot transistors than will be delivered to the resistance load. important because it shows that power is more dependent on the size of the current than the size of the resistance. For example, if the resistance doubles, the power only This last formula But doubles. is Whenever the We already know work the that the extremes in load power to a ohms, a large flow find their best compromise when the load resistance equals the internal resistance. for transferring load. If the load resistance is zero current will pass through the load, but nothing will slow it down and it will do no useful work. We know of is no more advantage to be gained by using a smaller load resistance in hopes of getting more current to flow. So the two separate effects of load re sistar.ce and internal resistance limiting current goes up 4 times. resistance do not resistance limiting current to the load, there the current doubles, the power if internal voltage source becomes the dominant factor in + 150 VOLTS that the voltage across the load will be zero is zero and you can't have voltage across zero resistance. The power output because the resistance will be: Power = (zero volts)(large current) At the other extreme, if infinitely large, the current = zero watts. the load resistance through the load approach zero, so the transfer of power be zero. will is will again Power = (large voltageKnearly zero current) £ zero watts 8Q LOUDSPEAKER we can reason that the optimum resistance for a load must be somewhere "halfway" between these extremes, but why must it From this equal the voltage source resistance? Since power varies as the square of the curit follows that the load resistance should be rent, very low so that a large current will rrn flow. However the resistance must not be so low that the power delivered is approaching zero along with the resistance. The question is, what limits Fig. the current that the amplifier can deliver? KM 7-2 A vacuum tube has high output im- pedence and needs an impedance matching transformer to drive a low impedance speaker. Transistors usually do not. In most applications amplifiers must be matched to the impedance of their loads. C. Basic Transistor Amplifiers carefully Common Loudspeakers generally have about eight ohms impedance. We call it impedance because there is a lot of inductance in a loudspeaker. Transistor stereo amplifiers can be designed to have about that much output impedance. This makes it very convenient to use loudspeakers directly as load impedances. In all the examples of transistor amplifiers so far, the emitter has been con- we have used nected to both the input and the output. As you might guess, an amplifier like this is called a common emitter amplifier. If a comparable amplifier from a would be source amplifier. This configuration seems the most straightforward and it is the most common way to use any of the amplifying is built called a 3. Emitter Amplifiers Impedance Matching Transformer field effect transistor, it common transistors. do not always tailor themselves to match the impedances of the am plifiers. In the bad old days, vacuum tubes had MEDIUM TO HIGH INPUT IMPEDANCE MEDIUM TO HIGH OUTPUT IMPEDANCE much INVERTED VOLTAGE OUTPUT Unfortunately, loads higher internal impedances, often thou sands of ohms. For a vacuum tube to drive an eight ohm speaker, it was necessary to match the speaker to the amplifier by means of an impedance matching transformer. HIGH VOLTAGE GAIN HIGH CURRENT GAIN HIGH POWER GAIN A transformer can convert a small AC volt age to a large AC voltage at the expense of the current, or it can convert a small AC current into a large AC current at the expense of the voltage. The latter was what was needed for the tube to drive a loudspeaker. The power leaving a trans former is the same or perhaps a little less than the power entering a transformer. Unlike transistors, transformers do not have power gain. All they "transform" is the ratio of voltage to current. VouT rm EMITTER COMMON TO BOTH INPUT AND OUTPUT' By altering the ratio of current to voltage, the transformer can appear to change the im- The common emitter amplifier pedance of a load. In other words, it can make a 3000 ohm tube "think" that an 8 ohm loudspeaker is a 3000 ohm loudspeaker. From the point of view of the loudspeaker, an impedance matching transformer can make the 3000 ohm tube transfer power as though it were an "8 ohm current gain, and because the current gain is high, it doesn't require very much base voltage to produce a current large enough to control a very vacuum large current from collector-to-emitter. Since the Fig. 7-3 The common emitter tube." amplifier has a large load resistance can be high and the power supply voltage can be high, a common emitter amplifier Impedance several matching dollars so this can have a large voltage gain. And, of course, transfor-mers cost usually is and voltage gains mean that the emitter amplifier can have a large power gain. It is important to keep in mind that the common emitter amplifier is a voltage inverting expense large current common eliminated in a transistor stereo amplifier. Impedance matching of transmitter outputs to an tennas is still a problem with transistors, transformers, and L-C networks are used to do this. You will see examples of this at the end amplifier. The bigger the input voltage, the more turned on and the smaller the output voltage across the transistor becomes. the transistor of this section. 105 is a. high resistance, then I ou t will be small and this output power will be small. Nonetheless, it is this small output current that is the whole purpose of Output Resistance An amplifier parameter that is important is output resistance. This is the internal voltage source resistance we talked about earlier. In the case of the common emitter amplifier, output resistance is the resistance between the output lead and ground. So this is the resistance of the transistor from collector to emitter. The output resistance of this amplifier can be high or low, depending on how much the transistor is turned on. If the transistor is full on, the output resistance will be quite low. On the other hand, if the transistor is turned nearly off, the resistance can be quite high. This is of course determined by the level of the input current. High resistance outputs are very good for producing high voltage signals, but poor for producing high currrent signals. b. Common the first amplifier. The current going through the load RL resistor, does nothing useful except to change the voltage which drives the second amplifier, so the second amplifier is a bonafide load on the first amplifier. Since this new load is being driven by a voltage source, the first amplifier must have an output impedance. This new output impedance must include the load resistor, Rl,i- because it is part of the voltage source and not part of the new load. From the point of view of the second lt amplifier, the load resistor, RLi- is in parallel with the resistance of the transistor. In summary, when we talk about the output impedance of an amplifier, we must think about where the power is actually being delivered if we want to optimize the transfer of power. Emitter Amplifiers In Series demonstrates how two common emitcan be put in series to increase the current or voltage gain, but the main point we want to illustrate is that the output power of a transistor is not always exclusively delivered to Fig. 7-4 c. Input Impedance ter amplifiers Another important characteristic fiers is the input impedance. amplifier is of ampli- The common emitter often built so that the base current is limited by a high value base resistor, Rj. Because the load resistance. this resistor usually has a high value, the input to a common emitter amplifier can have quite a high input resistance. The advantage of this is that the input to this amplifier will draw very little current and will not put much load on preceeding In Fig. 7-2 the load was a loudspeaker connected between the collector and the power suppso there was no doubt where the power was being delivered, but in Fig. 7-4, some power is diverted from the collector to drive the next ly, amplifier stage. It is true that if R3 and R4 have y—yvw means that very stages. needed to drive the amplifier and is little if <L2 «L1 N-P-N This amplifier power » - R3 > 'out VOUT V.N > ^> J 1st Fig. 7-4 R-i Rj, Two common and the second » ^ AMPLIFIER 2nd AMPLIFIER emitter amplifiers in series. The load on the transistor. 106 first amplifier is not really Rlj, it is several different amplifiers can be driven by one preceding stage. This last situation is unusual in audio or radio circuits, but common necessary, 1. An important to notice that a high input resistance causes the amplifier to have a high output impedance! The transistor can't be turned full-on when the current into the base is limited by very large impedances. in logic circuits. It is is that important feature of the emitter follower has built in negative feedback that tends it whenever it trys to turn on a transistor, the voltage from the base to emitter must exceed some thres hold so that base current will flow. to turn off the transistor on. In order to turn The Emitter Follower (Common Collector D. Negative Feedback The input Amplifier) differs from because, This amplifier configuration is similar to the emitter but the load resistance is moved from the collector side of the transistor to the emitter side. As seen on a circuit diagram, the collector to both the input and the output, so common most people prefer to call this the emitter The output of this amplifier follows the follower. emitter voltage because, as the transistor turns on, the voltage across the load rises. Emitter follower amplifiers do not invert the input signal Common emitter amplifiers invert the in- put voltage because a turned on transistor has lit- voltage. tle voltage across it. But common addition to emitter the amplifier base-to-emitter threshold voltage, the input voltage must also exceed the voltage across the load resistance. This means that for a given level of input voltage, the transistor is much less likely to turn on. And, when the transistor does turn on and current flows through the load resistor, this increases the threshold voltage that the ba*se-to-ground voltage must exceed. In other words, it tends to turn the transistor right back off again. This is the same principle as the current regulator diode which is made out of a JFET and a resistor in series with the source. Whenever current increases through the transistor, the extra voltage across the resistor tends to turn the transistor back off common isn't in to the emitter follower amplifier the in the emitter follower again. amplifier, the output voltage is across the load. Therefore, when the transistor is really turned on, make large voltages when they In the emitter follower, the result of this feedis that the voltage across the output can never exceed the voltage across the input. In other words, the voltage gain of an emitter follower amplifier is always less than one. On the other hand, the current gain of an emitter follower is as good or better than that of a com- large currents will back flow through the load resistor. So with the emitter follower, the output voltage input voltage is large. HIGHEST INPUT IMPEDANCE LOWEST OUTPUT IMPEDANCE NON-INVERTING OUTPUT NO VOLTAGE GAIN HIGH CURRENT GAIN + HIGH POWER GAIN is large when the mon emitter amplifier. Since the output signal voltage is about the same as the input voltage, and the current gain can be very large, 50 or more, it is still possible to have a large power gain E gUPPLY approaching 50. 2. /777 The emitter follower (common And Output Impedance Emitter followers have the highest input impedance of any of the three basic amplifier configurations. The input current must not only go through the base current limiting resistor, Ri, and the transistor base-to-emitter junction, but it must also go through the load resistor in order to arrive at the common lead or "ground." These three impedances add together to produce a very VOUT Fig. 7-5 Input collector high input impedance. amplifier) 107 because the base-to-col lector voltage drop can be very large. Remember that it is the collector-tobase junction where most of the voltage drop occurs. Of all the amplifier configurations the common base configuration has the lowest input impedance and the highest output impedance. Because the output current and the input current are essentially the same current, they are obviously in phase with each other. Finally, emitter followers have the lowest output impedance of the three basic amplifier configurations. Like the common emitter ampli fier, this output impedance depends a great deal on the resistance in series with the base, Ri- The smaller this resistance is, the more easily the turned on and the lower the transistor resistance will be. This low output resistance explains why this amplifier is often used in place of an impedance matching transformer; it is very good for converting a high voltage, low current signal into a low voltage, high current transistor is LOWEST INPUT IMPEDANCE HIGHEST OUTPUT IMPEDANCE signal. NON-INVERTING OUTPUT To summarize, emitter follower amplifiers have three big advantages over common emitter amplifiers. They have the highest input impedance and the lowest output impedance of the three basic amplifier configurations and they do The not invert the voltage signal. VOLTAGE SUPPLY + HIGH VOLTAGE GAIN NO CURRENT GAIN HIGH POWER GAIN chief disadvan- ' ' Rl > *\ k _ / / nTn tage is that they have no voltage gain, only current gain. The output voltage is nearly, but not quite as large as the input voltage. VOUT E. Common Base The Amplifier This configuration is weird and you may find become used to However, it is commonly used as the final amplifier stage in modern radio transmitters, so there is no way to avoid learning about it. it difficult to We » . rrn MUST PASS THROUGH THE INPUT SIGNAL VOLTAGE SOURCE RESISTANCE. LOAD CURRENT Fig. have always talked about the base as be- ing the control lead that accepts the input signal. In Fig. 7-6 it looks as though the emitter is serving as the control lead! Actually the base current is still determining how much The current flows from collector to emitter, so the transistor is plifier is that it is behaving at this am the opposite of the emitter follower in terms of what it does. This amplifier can be thought of as a voltage step-up transformer with high voltage gain but no current gain. It also has good power gain because even though the current gain is less than one, the voltage gain can be very large. no way that the rent can be amplified. Actually, it easier make to In spite of the fact that the base is is grounded, responsible for producing a small base current which turns the collector-toemitter current on and off. Let's figure out what kind of input signal would be necessary to make In this amplifier, the current that flows into is the same current that flows through is circuit in Fig. 7-6 is simplified to circuit the emitter current the input the load resistor, so there The common base amplifier (grounded understand. The load resistance is connected between the power supply and collector, just like the common emitter circuit. The base is "common" to both the input and output and this gives the amplifier its name. This amplifier is also known as the grounded base amplifier, which assumes that the base is actually connected to ground. the as before. Perhaps the simplest way to look 7-6 base amplifier) the transistor in Fig. 7-6 turn on. Since N-P-N cur- loses a little transistor, the base must be it is an positive with respect to the emitter in order for a base current current to the base so the current gain is always less than one. The voltage gain can be very large we put a big positive input signal on the emitter, positive to N will not conduct and the to flow. If L08 transistor will remain off. However, if the signal on the emitter is negative with respect to ground, then the base will be positive with respect to the transistor emitter. Base current will turn on the transistor. So as the circuit a negative, or below ground signal turn on the transistor. Now is base voltage several volts above ground, the transistor will turn on when the input voltage is below that of the base, but still above the level of ground. If an input signal varies between the new base voltage and ground, it can control the transistor completely from full on to full off, provided of course, that the new base voltage is high enough. The new base voltage is established by flow and is drawn, needed to the voltage division across the resistors Ri and R 2 The capacitor Ci holds the voltage across R 2 look at the output signal voltage taken off the collector. When the transistor is turned off, the output voltage will be equal to the supply voltage. But when the transistor begins to turn on, the output voltage will drop downward. Notice that while the output voltage is dropping downward, the input voltage on the emitter is also dropping downward, dropping down below ground, that is. So, even though which let's is the polarities are disturbing, the voltage signal not inverted. . constant so that the base voltage tant even when input signal voltage, Now will stay cons- there are sudden changes in the Vs . look at the input and output impedances common base amplifier. Like any of the must complete the pathway from the supply voltage all the way down to ground. In this case the current flows through the load resistor, through the transistor, and finally must flow through the input signal of the amplifiers, the output current is SUPPLY VOLTAGE 9 +V CC source. In order for a large current to flow through the load resistance, there can not be very much resistance in the input source, R s because the current must also pass through that barrier. This is why the input driving source must have a low impedance for this circuit to work well. If the "source" must have a low impedance to transfer power, then we can reason that the amplifier must have a low input impedance to receive power efficiently. Since the source impedance is added onto the impedance of the transistor and load resistor, this explains why this circuit has the highest output impedance of any of the three , VOUT basic amplifier circuits. F. rrn THE CAPACITOR CHARGES UP TO THE VOLTAGE ACROSS R2 ON WHEN B ELOW AND A practical V| N GOES Often two or more of the basic amplifiers are to produce a single amplifier with a different combination of characteristics than can be obtained from one of the three basic amplifiers. Suppose a common emitter amplifier is needed with ten times more gain than a single amplifier can produce. One way to accomplish this is to put combined f— SERVES AS A BATTERY TO HOLD THE BASE VOLTAGE ABOVE GROUND Fig. 7-7 Direct Coupled Transistor Amplifiers transistor will turn common base amplifier the power supply voltage would require a second, two common emitter stages in series, like Fig. 7-6. But often the same goal can be achieved with fewer parts by using a Darlington transistor. below ground, power supply. The common base amplifier can be modified so that the transistor will turn on when the input signal is above ground. A method of doing this is shown in Fig. 7-7. The network R lf R 2 and Ci can be thought of as a rechargeable battery which is connected be tween the base and ground. By establishing the Two or three transistors can be wired together so that the base of one transistor is driven by the collector of another. The emitters are wired together and the result is a device that can be used like a normal transistor, but has extremely high gain. Since the collector current of one tran- Having the input signal outside the range of , 109 sistor becomes the base current of another, two or even three transistors can produce current gains a high as 10,000 or more. Transistors wired this way by the factory resemble ordinary transistors but are called Darlington transistors. -V cc * Q PN-Ps > VWVA R2 Vout Vout J Y > > Fig. 7-9 COMMON EMITTER AMPLIFIER USING A DARLINGTON TRANSISTOR A \ Y N-P-N P-N-P COMMON COMMON EMITTER EMITTER direct coupled amplifier stage using P-N-P and N-P-N transistors. mon in switching applications where the output does not have to be high fidelity or linear. The distortion of an amplifier, its speed as a switch, the power required to run it, and its frequency response depend, not just on which transistor lead is "common," but on where the transistor is operating on its volt-ampere characteristics. <2 G. Basic Field Effect Transistor Amplifiers Before we look TRIPLE TRANSISTOR specific purposes, DARLINGTON FET Darlington transistor Fig. 7-8 make a super high gain transistor. we at biasing transistors for will look at the three basic amplifiers. combinations Fig. 7-10 shows MOSFET transistors, but they could just as well be junction FETs. We can summarize by saying that they are like the bipolar versions, except that the names match the FET terminals: common source, common drain, and common gate amplifiers. The characteristics of these amplifiers are also about the Fig. 7-9 shows an amplifier stage that is a combination of two common emitter stages in which one transistor is N-P-N and the other is P-N-P. This amplifier stage has much higher gain than a single stage could have and it does not invert the voltage signal. Moreover, it uses fewer parts than two conventional common emitter stages would. Many hybrid combinations like this are possible between any of the three basic amplifier designs and the use of complementary transistors. We won't attempt to cover all the possible combinations, but at least you won't be surprised when you see a circuit like this in a diagram. As a rule these hybrids are more com- same H. as the bipolar versions. Alphabet Classification of Amplifiers The "alphabet classification" of amplifier designs is hard to remember, but it is widely used and does give an indication of the amplifier linearity and the intended use for the amplifier. We have already classified transistor amplifiers 110 terms of which lead is common to both the input and output terminals. These common classifications tell us about input and output impedances and current and voltage gains. Another way to describe amplifiers is by the frequency range they are designed to amplify. For example, audio amplifiers generally cover a band of frequencies from about 20 to 20,000 Hz. Video amplifiers cover a wide band from about 60 Hz up to about 5 MHz. Radio frequency amplifiers are designed to amplify frequencies anywhere from a few kHz up to thousands of MHz. Usually RF amplifiers just amplify a single frequency, but sometimes they are designed to amplify wide bands. Amplifiers which can amplify wide bands of frequencies are quite linear. That is, if an amplifier is capable of amplifying many different frequencies and the relative amplitude of each is faithfully reproduced at the output, then the amplifier has low distortion. On the other hand, a tuned amplifier is designed to amplify just one frequency and is very non-linear because any other frequency will be greatly attenuated. in rm COMMON-SOURCE CONFIGURATION FOR MOSFETs /. Linearity and Distortion we go Before farther, let's look rrn SOURCE FOLLOWER (COMMON DRAIN) CONFIGURATION Id SUBSTRATE Rl sN\W more closely A pure sine wave has only a single frequency. It can be shown by lots of math and arm waving that any other alternating waveform is composed of more than one frequency. For example, a violin playing a single note sounds like a "pure" tone. But if the sound is displayed on a frequency spectrum analyzer, the sound is actually a combination of several frequencies, some of which are just as loud as the basic note the violinist is playing! It is these overtones or harmonics which make a violin sound different from at signal waveforms. O + a piano. Fourier, a Frenchman, showed that any alternating waveform (AC) can be duplicated by the sum of a number of pure sinewaves even though it Vout take an unlimited number of them to produce a perfect copy of the original. In Fig. 7-11 the note "A" on a violin has 6 vertical bars. The stereo amplifier must be able to amplify each of may \ rm \_ DRAINTO-SOURCE CURRENT MUST ALSO FLOW THROUGH INPUT VOLTAGE RESISTANCE, these six sine Rs COMMON GATE CONFIGURATION Fig. 7-10 Enhancement MOSFET wave frequencies accurately with- out changing the frequency or relative sizes of any of them. If the amplifier fails to make a perfect copy of any of these six signals, the amplifier is non-linear and is guilty of distortion. basic ampli- Notice fiers. that sound Ill like if the distortion were carefully would be possible to make a violin and vice versa! engineered, it a piano VIOLIN FREQUENCY SPECTRUM If LU O o z o s cc < I _i a < > < 2O HI — SZ <o 1.0- a2 z cc => < U. X ,s- UJ cc i 2 cc < X 1 CN 1 -1 n 1 440H Z "A" IS 35 S 1000 880 tion of 100. w 1500 2000 2500 1320 1760 2200 line as is shown for a gain slope of this line (the degree of equal to the transistor current gain. Distorthe amplified signal will occur to the that However, ^* The in degree 1 i ) tilt) is s cc < X i i 500 o z o .c ; \ . o z o 2 cc < I 1 "O c u z o O z o 2 CC < X (hfe the characteristic were perfectly linear, the would be a straight plot if line is not a straight line. confine the amplification to the the we range 0.25 to 1.5 milliamperes of base current, then the collector current will be a good reproduction of the base current, but it will be 120 times larger. FREQUENCY-HERTZ NOTE How BEING PLAYED can the input signal be confined to a tain range of base current? PIANO FREQUENCY SPECTRUM nating current is By symmetrical about the zero rent axis. It looks as though we could alternating current waveform. < 1.0 The input wave signal can be moved to the center of the operating range by adding a bias current to the input signal. This > is — cc J_ I A 500 440H Z "A" IS 1 1000 1 _L 2000 1500 shown graphically Fig. 7-11 Class 2500 I FREQUENCY-HERTZ NOTE COLLECTOR WAVEFORM Frequency spectra of a piano and A in Fig. 7-13. 1 BEING PLAYED J. cur- only am- plify part of the positive half of the sine a. cer- definition alter- violin Amplifier The class A amplifier is an excellent design high fidelity applications. We saw earlier that many transistors have volt-ampere characteristics that are quite linear over a certain operating range. This can be demonstrated by plotting base current versus collector current. A graph like this for is called the transfer characteristic. 2N3724 Fig. 7-13 NPN SILICON Class A amplifier operation TRANSISTOR The bias is added by providing a fixed amount of bias current that is always present even when the amplifier is not processing a signal. In the drawing we have added 0.75 milliampere to the base current. This means that even when the amplifier is not actually amplifying a signal, there will be a collector current of about 90 milliamperes. This point is called the quiescent current. The maximum input signal BASE CURRENT — MILLIAMPERES would be limited to about 0.6 mA peak so that the signal will stay within the most linear part of the b operating range. Fig. 7-12 Collector current rcrsus base current 112 The disadvantage sistor always acts of Class A is like a resistor Another feature of capacitor coupling that the tran- and always sipates power. Theoretically, Class A amplifiers could be as much as 25% efficient when amplifying sine waves. In practice, the maximum useful power that comes out of the amplifier is rarely more than 10 or 20% of the power consumed. With the waveforms shown in Fig. 7-13, the effi- ciency is that DC voltage levels. The capacitors will charge to those levels without changing the average DC voltages on either side of the capacitor. An amplifier that couples the AC signal in and out of the transistor with load resistor and coupling capacitor is called an RC coupled amplifier. about 10%. Class K. A is the capacitors can be coupled between any two dis- class A common emitter audio amplifier always there and is made from one transistor and have a linear re sponse characteristic (high fidelity) are class A amplifiers. The disadvantage of class A is that the transistor is on all the time and wastes power and generates heat. Class B amplifiers are designed to be more efficient than class A amplifiers. They are almost always made from pairs of transistors which are biased so that each transistor only amplifies one half of the AC signal wave form. The two transistor outputs are then combined again to produce the complete amplified output. In this way zero collector current can represent zero current in the original waveform. Since the base and collector currents are zero when the input signal is zero, power is not wasted when the amplifier is not actually passing current. For example, a battery powered radio consumes more battery energy in its audio output stage than all the rest of the receiver circuitry combined. A class A amplifier in a battery powered radio would be high fidelity, but would drain the batteries very quickly. In practice class B amplifiers can deliver power to the loudspeaker (or other load) with up to 50% efficiency. always turn- ing the transistor at least part way on. The second resistor, R2, insures that the transistor can turn off once it has turned on. The audio signal is coupled into the base by means of the capacitor, The output signal leaves the amplifier by means of the capacitor, C2. These capacitors cou- Ci. AC current in and out of the amplifier, but be cause DC cannot pass through capacitors, the average DC current that biases the amplifier is not changed by the input signal. The AC coupled through the capacitor temporarily raises and lowers the input current as the AC alternates ple polarity. 10 VOLTS LOW RESISTANCE IS NEEDED TO PASS THE MAXIMUM COLLECTOR CURRENT, =170MA 50Q = Rl 1 2N3724 SILICON M fd > Amplifiers All bipolar transistor amplifiers which are is seen in Fig. 7-14. The bias current (0.75 mA) is added to the base by means of the resistor R^. Since Ri is always connected to the positive sup ply, this bias is B Vout BIG COUPLING CAPACITORS ARE NEEDED TO PASS LOW AUDIO FREQUENCIES Each transistor in a class B amplifier is operating in the region of low base currents where linearity can be fair, but is never excellent. However, both halves of the amplifier are distorting their respective halves of the signal the same way, but with opposite polarities. It turns out that most of the distortion is cancelled out when the two half outputs are recombined to make a single output signal. The two transistors resem- * two men sawing a log with a whip saw. One pushes while the other pulls. For this reason ble these BASE-TO-EMITTER DC VOLTAGE DETERMINED PRIMARILY BY THE SILICON P-N JUNCTION POTENTIAL. Fig. 7-14 A common emitter, class A, amplifiers are often called push-pull amplifiers. IS RC common ways to build a class The transformer design is the way it used to be done with vacuum tubes and is still found in transistor output stages. The signal to There are two cou- B pled audio amplifier 113 amplifier. be amplified must be split into signals which will turn on the two transistors during opposite polarity halves of the cycles. This is easily done with a transformer. The signal to be amplified is fed into the primary. The transformer secondary is center tapped and grounded. Since the polarity of the signals at the opposite ends of the secondary are always opposite, the two transistors will be turned on during alternate half cycles. Since the bases are grounded through the transformer winding, the average DC current through the bases will average out to zero. The outputs of the two transistors are again recombined in another transformer. This time the load resistor has been replaced by the two inductances of the two halves of the output transformer primary. The supply voltage goes to the center of the transformer primary so that it can supply both transistors from the same point. Each transistor output current produces a magnetic field in the output transformer and the two fields combine to produce a single AC waveform which is induced into the secondary. A more modern way of building class B amis to use complimentary transistors to make a complementary transistor amplifier. This scheme resembles the CMOS FET logic inverter plifiers we When a signal goes turns on one transistor but turns the studied in the last section. positive, it BASES ARE GROUNDED THROUGH TRANSFORMER WINDING t "PUSH-PULL" TRANSFORMER COUPLED CLASS B AMPLIFIER BASES ARE GROUNDED THROUGH RESISTORS N-PN T P-N-P "PUSH-PULL" COMPLEMENTARY CLASS B AMPLIFIER Fig. 7-15 Practical class 114 B amplifiers COLLECTOR CURRENT WAVEFORM EXACTLY Vi OF THE — ORIGINAL WAVEFORM IS AMPLIFIED Fig. 7-16 Class B amplifier operation L. other off. When reverse happens. med at one point to make C Amplifier The class C amplifier is very non-linear and is intended for efficient power amplification where a powerful signal is needed at a single frequency. the signal goes negative, the The two output Class signals are sum- the single output wave- The two complementary transistors must be carefully matched in their parameters so that class they amplify equally but with opposite polarities. Even their distortion and non-linearity must be equal! Manufacturers make special mated pairs of transistors designed for this purpose. one where the collector current is zero for most of the input sine wave cycle. The output from the transistor is a "train" or series of short, rounded, current pulses which have a repetition Final amplifiers in radio transmitters are often form. C. amplifier The official definition of a class C is rate equal to the desired frequency. Since these pulses are not a perfect sine wave, they contain many harmonics which are filtered out by the Push-pull amplifiers can also be designed to run class A by biasing the bases. Class A pushpulls have the distortion cancelling advantages of the class B and can exceed a single transistor Class A amplifier in linearity. Unfortunately they still waste power because both transistors are always biased on. tuned circuit (LC resonant are so prominent, that it is output harmonics circuit) in the circuit of the amplifier. In face, these possible to filter out the basic frequency and produce useful power at twice or three times the frequency of the fun- damental pulse 115 rate! AMPLIFIER QUIESCENT POINT (CANT BE LOWER THAN ZERO) TRANSISTOR IS ON LESS THAN 50 % OF THE TIME. Fig. 7-1 7 Class C amplifier operation SUPPLY VOLTAGE DC AMMETER (ADJUST Ci FOR A SUPPLY BYPASS CAPACITOR ^C 3 ) MINIMUM CURRENT) \f V in IMPEDANCE MATCHING TRANSFORMER Rl EMITTER RESISTOR RF BYPASS CAPACITOR Fig. 7-18 A class C RF amplifier 116 ANTENNA LOAD shows how the Fig. 7-17 C class The transistor strongly biased so that the transistor conducts only during the high positive peaks of the input RF sine wave. So much for the usual amplifier C class amplifier expanation. the transistor better way to look at tuned amplifiers is tuned circuit in which an oscillation has already been established. The LC tuned circuit can be compared to a child's swing. The swing moves back and forth with a natural oscillation frequency which depends on the length of the rope and the acceleration "pump," damped out circuit of the the gravity. If oscillation the will (attenuated) by "friction" is In the resistance dissipates the energy in the oscillation ting it to heat. An is LC tuned just like this. The must be sus- circuit even is turned off, in the circuit. so most of the time In the collector is continually varying large sine wave even when up and down the transistor LC which by conver- sustain the oscillation with light pushes whenever the swing reaches the extreme end of its travel. The pushes on the swing must be carefully timed. If the adult tries to push when the swing is coming toward him, the oscillation be decreased instead of increased. If the pushes are somewhat out of phase, a large oscillation can still be sustained, but only at the expense of a great deal of extra energy because much of it is being wasted. it is the input frequency isn't matched to the If natural oscillation frequency of the tuned circuit, the collector voltage and collector current will be high simultaneously and the power consumed in the transistor will be very high. When this hap- COLLECTOR VOLTAGE COLLECTOR VOLTAGE AND CURRENT CLASS C AMPLIFIER SINE IN A WAVE OSCILLATION IN LC CIRCUIT TRANSISTOR TURNS ON 111 - ONLY WHEN COLLECTOR VOLTAGE IS VERY LOW a. z> o cc O HO TIME LU ^r ] O o _ CURRENT PULSE PUSHES LC OSCILLATOR "SWING" TIME AVERAGE OF VOLTAGE = AVERAGE OF CURRENT CONDUCTION ANGLE = 25% OF Fig. 7-19 in a class in a turn- amplifiers. will POWER is Whenever the circuit. adult pushing the swing can INPUT it same way the connected to the oscillating LC collector voltage drops toward the low side of the sine wave, the transistor turns on briefly and lets a short pulse of current into the tuned circuit. Because the transistor is on only when the collector-to-emitter voltage is low, the current flowing through the dynamic resistance of the transistor is low in accordance with Ohm's law. Since current and voltage are low, the power that is dissipated in the transistor as waste heat is low. The efficiency of these amplifiers can be high, 65% or better in real ed off because child doesn't eventually be friction. amplifier adult only contacts the child and swing for a small part of the swing travel. The voltage on the LC that the output circuit contains an C tained by carefully timed, short current pulses flowing through the transistor. Most of the time isn't A class oscillation in the is [ j E =j TIMES DURING CONDUCTION 360° = 90° IN THIS EXAMPLE Graphs of collector voltage and current C amplifier. 117 pens, the output will matches the output impedance of the still be the driving frequency of the pulses but a great deal of energy will be expended to stifle the natural resonant frequency of the tuned circuit. In vacuum tube amplifiers you can actually tune the LC circuit to the driving frequency by watching the anode in the tube go from red hot when out of resonance to a cool black when resonance is reached! Transistors are much more easily destroyed by overheating and this is why vacuum tube amplifiers are still found in transmitter output stages, especially in amateur radio transmitters and large broadcast sta- All the basic features of a common emitter Class C amplifier are illustrated in Fig. 7-18. In the output circuit the LC resonant circuit consists of Li and Ci. Ci is tunable so that the reso- tions. mum The proper indicator for tuning a class C is a DC ammeter in series with the collector power supply. The resonant frequency of the L-C circuit is adjusted for minimum average current flowing into the collector. Even though Like any amplifier, a transmitter output stage should match the impedance of its load. In Fig. 7-18 the load is a transmitting antenna and these generally have an impedance between 50 and 300 ohms. This impedance is usually entirely 3. is actually a series of short the average of these pulses DC pulses, and the Our drawings of voltage waveforms on the C amplifiers has probably given AC you the idea that it is practical to look at these waveforms with an oscilloscope with RF amplifiers. First, large transmitters often have over 500 volts on the plates of vacuum tubes and your voltage. was altered. Now is also tuned to the is matched to the transistor impedance by means of an impedance matching transformer. The inductor Li is part of the L-C resonant circuit but is also the primary of the impedance matching transformer. It is important to realize that any change in the impedance of the antenna will reflect back into the resonant circuit and change the resonant frequency. For example, suppose part of the antenna were broken off or damaged by a windstorm. The antenna resonant frequency will change and it will behave more like an inductor or capacitor than it did before, depending on how the antenna may not be able to tolerate that. The second problem is that the probe often has a significant capacitance with respect to ground. This can range from 10 pf to 100 pf. If you put this on the collector of a VHF RF amplifier or a mixer in a high frequency receiver, this capacitance will add to the capacitance in the LC filter and detune the circuit. If you do manage to get the amplifier tuned with the scope probe in place, it will no longer be tuned as soon as you remove the probe. A low frequency receiver, such as an ADF, may not be significantly affected by this. amplifier is In Fig. 7-18 the antenna impedance oscilloscope C antenna way, the antenna AC current does not lag or lead the antenna AC voltage, but behaves like a resistor in which the current is in phase with the collectors of class Class circuit is properly tuned. operating frequency. The antenna is resistive because energy sent out into a properly tuned antenna leaves the antenna permanently. The antenna energy does not reflect back into the collector circuit as it would if the antenna behaved like an inductor or a capacitor. Saying it another final." in LC resistive because the is the collector circuitry often an nant circuit can be tuned to the repetition rate of the current pulses from the collector. The ampere meter in between the LC circuit and the power supply indicates when the DC current is mini- seen as a steady drain of DC current from the power supply. In order to tune the amplifier, the capacitor Ci is adjusted for minimum DC collector current. The meter needle dips sharply when resonance is reached so this process is called "dipping the In summary' is antenna. amplifier the current It amplifier with the load which the let's look at the input side of the circuit why the amplifier operates in in Fig. 7-18 to see designed to meet three goals: the class C mode. The input circuit design has at least three goals: 1. It filters or means of an resonates the output signal by resonant circuit. LC 1. Even though the input signal to the tranbe a sine wave, the sine wave signal must turn on the transistor only during the highest, above ground voltage peaks sistor 2. It indicates when ed by means of a the resonant circuit DC is tun- current meter. 118 may of the sine wave. For an N-P-N transistor Goal number three, not sacrificing the potenoutput power of the transistor, is achieved by capacitor C 2 If C 2 were omitted, the amplifier would have two "loads;" the antenna, which is where we want the power to go, and the emitter resistor which gets hot and wastes useful power. The capacitor holds the average emitter to ground voltage down so that more of the supply voltage can appear across the load and less appears across the resistor during the current these are the positive peaks. For a P-N-P transistor these are the negative peaks. tial . 2. The input circuit should not waste a large amount of power to drive it. That is, the input current peaks should go into the base and not heat up resistors. 3. The biasing system should decrease the potential output power of the amplifier stage as little pulses. as possible. In Fig. 7-18 the base is connected to ground by a radio frequency choke inductor (RFC). From the point of view of the RFC RF The power supply by-pass capacitor, C3, has a holds the voltage across the power supply and meter constant so that large pulses of current will not decrease the voltage across the transistor and LC circuit. The similar function to input driving signal, a very high impedance, so the base looks like it is isolated from ground. In other the is words, the sine wave RFC doesn't attenuate the input RF goal. current, the base ground. Goal number one, turning on the transistor is accomplished by the emitter resistor, R^ The current pulses going through Rx are all in one direction. The voltage across Ri is a sort of pulsating DC that resembles the output of an unfiltered DC half wave power supply of the kind we studied in Section 2. Just like the half-wave power supplies, the DC can be made more continuous by putting a large capacitor across the load. In this case the "load" is R\. Now we have a fixed, DC voltage difference between the emitter and ground. The input voltage must be greater than this voltage in order to turn on the transistor. By using the correct resistance for Rj, the transistor will turn on only during the voltage peaks. And, because the emitter to ground voltage depends on the collector current, just during voltage peaks, Bear But will mind that C Fig. 7-18 amplifier. Now is just one examthat we have you checked out on emitter resistor biasing, I hate to mention that sometimes the emitter resistor is omitted. In some amplifiers the base-toemitteremitter junction voltage provides enough voltage offset to make the transistor operate in class C without the emitter resistor. Often the emitter resistance no need to bypass C2. Class C VMOS FETs is so small, 0.05 ohms, there is with the emitter capacitor, it amplifiers can also be built from in common gate or common source They can have "pi" or "T" output impedance matching networks. They can also be very large input signal will try to turn on the transistor over most of the input sine wave which in ple of a class A cycle. It wires. this "bias" voltage will adjust itself to the input signal. . meter and power supply have inductance and resistance in the wires that connect the circuit together. This is part of the voltage source impedance which limits the maximum current pulses that the supply can deliver. Putting a bypass capacitor across the supply averages the current from the power supply. Now much of the peak current in the pulses can come from the capacitor which recharges during the time intervals when the transistor is turned off. The bypass capacitor must be as physically close to the LC circuit as possible, otherwise it will not "bypass" the resistance and inductance in the signal to the base. This satisfies the se- However, from the point of view of DC is grounded, through the radio frequency choke. After all, chokes are just a coil of copper wire. This means that any voltage on the base which drives current into the base must be greater than whatever DC voltage difference there happens to be between the emitter and cond C2 configuration. biased by a separate power supply, like grandfather's "C batteries" in his 1920 vacuum tube radio. The only feature that all class C amplifiers have in common is that the transistors or tubes turn on less than 50% of the sine wave cycle. this will increase the collector current make a bigger emitter-to-ground voltage that the input sine wave voltage will have to overcome. This is negative feedback just as we discussed earlier for emitter follower amplifiers. 119 M. Class We AB Amplifiers could have covered this before class C, we if AB amplifiers are useful. Class tuned amplifiers, much C O. Class E Amplifiers Class E amplifier. between class A and when driven by a sine wave, the conducts somewhere between 50% and so that transistor 100% class AB amplifiers are like the class are biased halfway B class why had, you wouldn't understand but They tremely non-linear and can't be used directly for generating RF power or linear amplification of analog signals. amplifiers are a relatively new inven- and are not widely used. They can be most of the applications where class C tion (1970) used of the cycle. in amplifiers are used. Class E amplifiers are a tuned, non-linear, amplifier with most of features AB amplifiers are more efficient than but less efficient than class B or C. Depending on the percentage of time the transistor Class class is on, a typical class 25% of a class A efficiency. AB amplifier might achieve The advantage of class AB is that can operate over a fairly wide frequency range with fair efficiency without being retuned every time the frequency is shifted. Generally a radio transmitter has several stages of amplification between the oscillator which generates the basic frequency and the final amplifier which drives the antenna. Most of the power consumed by the transmitter is consumed by the final amplifier, so it is most important that this stage be as efficient as possible. The low power "buffer" stages can be class AB or even class A with little loss in overall efficiency and a great gain in engineering and tuning convenience. it AB amplifier 75%, it collector-to-emitter voltage is when the On the Unlike the class if the tuned output is off resonance, it not greatly reduce the efficiency because the transistor was turned on most of the time will anyway. Class D Amplifiers You have already met the class D amplifier. simply the use of a power transistor for a switch. In other words, the transistor is either turned full off or full on. Since the output is a square wave, very little time is spent with current flowing through the transistor, while significant It is voltage is across the transistor. The efficiency can approach 100';, but this "amplifier" is for a class a square E am- wave so C amplifier, the voltage across not just "low" when the transistor is on, the transistor is turned full on and is saturated, or on the verge of saturation, the entire time that current is passing through the transistor. The transistor current is used to "charge up" the inductor, Li. In this respect the transistor resembles the breaker points in an automobile ignition system. Since the current passing through an inductor cannot change instantly, the current slowly increases over time as the transistor switch is kept closed. When the transistor switch opens, the inductor will try to maintain the current flow by producing a huge voltage. This voltage appears across C\ and the diode. This capacitor prevents the voltage from damaging the transistor, just the way that a capacitor prevents much of the sparking across the breaker points in an automobile ignition. The diode prevents a backward bias voltage from appearing across the transistor from emitter to base. Remember that the emitter to base junction is easily broken down by reverse voltages. The energy that was stored in the inductor, Lj. Li and Ci form the tuned circuit and oscillate at the desired frequency. The repetition rate (frequency) of the square wave driving the transistor base must be exactly tuned to the L[ — C\ resonance. It it is not, the transistor will come out of saturation and dissipate large amounts of power. the transistor other hand, N. is that the output transistor operates as a switch. is rather high. However, the transistor shows a circuit The base is driven by Fig. 7-20 plifier. relies of the cycle, including parts of the cycle amplifier. destroyed. turned on over on the tuned circuit to produce only 25% of the output sine wave. If the output circuit is perfectly tuned to the input sine wave frequency, the efficiency will be less than that of a class C stage because current is still flowing through the transistor during most Since the class half the cycle, say C turned fully on and off like a class D amplifier. Because the transistor turns on and off like a switch, the efficiency can approach 100% in real amplifiers. Tiny transistors can deliver hundreds of watts with this design. Of course, the catch is, that if the amplifier ever goes out of tune, the low power dissipation transistor would be instantly ex- 120 is Vcc > + SUPPLY VOLTAGE SUPPLY BYPASS COUPLING CAPACITOR Vout SINE WAVE OUTPUT SQUARE WAVE INPUT IMPEDANCEMATCHING TRANSFORMER Fig. 7-20 The energy cuit the is transferred from the tuned load by means Class E RF amplifier P. of the CLASS A AB Biasing transistors establishes the resting state of the transistor when it is not amplifying a signal. The following is not intended to be a complete course on biasing transistors. There are so many kinds of transistors and so many classes common no half turned 1/4 on turned on B turned off C turned off so far that a large signal to overcome the bias and turn is it on. D turned off, like Class B or C. Some- times transistor rests and configurations of amplifiers, it isn't practical to give more than a general outline. However, a is TRANSISTOR RESTING STATE needed is there AMPLIFIER Biasing Transistor Amplifiers there when state of the transistor should be signal to amplify. cir- coupling capacitor C2 and the transformer TV C2 is just a coupling capacitor that prevents DC current from the power supply from traveling directly to ground. Without C2, you could not turn on the amplifier without burning out Li, Tj, the power supply, or all three! Ti serves the same purpose as the transformer in our Class C amplifier circuit. It matches the impedance of the load, Rl, with the collector circuit as a whole. to E Like B on. or C. The second consideration pattern to transistor biasing. full for establishing you can get the general idea, you will usually be able to figure out what you need to know. particular type are alike. There are two considerations in setting up the operating point of a transistor. First, the class of the amplifier determines what the resting manufactured, they are made in big batches of a general class. Then they are sorted out into groups of each particular type, say 2N2222, 2N2148, and so on. The type number is assigned these resting points If 121 is that not all When transistors of a transistors are Rl * > TRANSISTOR FULL ON > >- > COMMON EMITTER AMPLIFIER Ij^Vc VALUES OF BASE CURRENT (OR GATE VOLTAGE) TRANSISTOR FULL OFF (COLLECTOR OR DRAIN VOLTAGE) Vcc SUPPLY VOLTAGE CLASS B BIAS POINT Fig. 7-21 Load line drawn on transistor voltampere characteristic on the basis of current gain, leakage current and so on. Within each type number there is still variation, so a good biasing system must adapt to the differences. A related problem is that a hot transistor is easier to turn on than a cold transistor. Negative feedback is used to make the circuit behave the same even when transistors differ or are overheated. We the quiescent point first. resistance, out of the Rl and the transistor circuit. Therefore, is essentially the output voltage across the transistor will be the supply voltage and the current through the transistor will be viris plotted on the voltage line where current is zero and is seen on the lower right hand corner of the curves. tually zero. This point will look at establishing When the transistor turns full on, its sistance approaches zero and the current Biasing transistors is most easily visualized with a load line. The load line is just a straight line drawn on a transistor volt-ampere family of curves to show where the transistor will operate in a particular circuit. Referring to Fig. 7-21, we can plot the load line by looking at the extremes, which are turned full on and turned full off. To avoid confusion, let"s just think about a common emitter amplifier. When the transistor is turned off, the output of the common emitter amplifier is connected to the power supply through the load large as it transistor can become. How large can had zero resistance, the it be? re- is as If the maximum cur- rent that could flow would be the supply voltage divided by the load resistance, Rl- Maximum transistor current maximum = V cc Rl / is plotted on the colwhere transistor voltage is zero at the upper left. Now we have the ends of our load line plotted and all the other possible This lector current 122 axis current Remember points of transistor operation are located on this line. If you want use a different load resistor, ply voltage, or both. Q. Biasing Class A FET you must a different power sup- to operate off this line, A that with depletion type MOSwhen the gate voltage is zero, transistors, approximately half on, so biasing MOSFET amplifier can be easy. Just connect the gate to the source with a resistor. The resistance must be high enough so that it is not too much load for the input voltage. the transistor a class Amplifiers A is depletion NEGATIVE SUPPLY have the transistor biased dead center on the load line. This means that when no signal is on the amplifier, a base current or gate voltage must be set up so Class amplifiers usually 9 -v dd Vgale turned half on. To figure out what gate voltage or base current is needed, you just read the base current or gate voltage that corresponds to the center of the load line. that the transistor is (DC) 2 VOLTS > (ENHANCEMENT > PCHANNEL MOSFET) Vout NEGATIVE SUPPLY > Id * Rl /777 Vgate(DC). IS ZERO * > 2 VOLTS FOR HALF TURNED ON' 'out DEPLETION^ PCHANNEL MOSFET J GATE > > VOLTAGE /777 Fig. 7-23 class A Biasing an enhancement MOSFET amplifier A enhancement type not so easy because its gate voltage characteristic requires that an above ground voltage (negative in the illustration) be placed on the gate to turn it half on. This voltage can be provided by two resistors in a voltage divider network. Biasing MOSFET a class amplifier is -v d QUIESCENT POINT a class A bipolar transistor amneeds extra base current to turn the transistor half on when the transistor is resting. This extra current can also be provided by a sim- As you know, V UT WILL TRAVEL UP AND DOWN ON THE LOAD LINE, BUT WILL REST AT THE QUIESCENT POINT. Fig. 7-22 Biasing a depletion plifier also MOSFET class A ple pair of resistors in a voltage divider. amplifier 123 One con- increases, the gain of the transistor will increase nected to the supply voltage turns the transistor half on. the second makes sure the transistor has a way to turn off. will turn more "on." As the moves up the load line to the left, the transistor will draw more current and dissipate more heat. As the heat rises, so does the and the transistor quiescent point Now that we have the proper bias current entering the base, what will happen if the transistor temperature increases? As the temperature temperature which will turn the transistor on even more. If this process continues, it is possible that the transistor will turn full on and may burn NEGATIVE VOLTAGE itself up. This calamity is is called thermal runaway. This a very big deal with germanium BASE because germanium semiconductor CURRENT perature sensitive. It (DC) much is less a transistors very tem- is problem with is silicon transistors, -3M a but it is still necessary to take precautions. In Fig. 7-24 a relatively small emitter resistance is added to the class A amplifier in order to make the quiescent point more stable. Vou. EMITTER RESISTOR PROVIDES NEGATIVE The emitter resistor provides a small amount of negative feedback to turn the transistor back toward the center of the load line when rising temperature makes it drift upward to the left. FEEDBACK TO HOLD QUIESCENT POINT CONSTANT EMITTER RESISTOR COUPLING CAPACITOR ADMITS AC SIGNAL BUT DOES NOT CHANGE DC BIAS VOLTAGE > The emitter resistor by-pass capacitor and holds the voltage across the emitter BYPASS CAPACITOR HOLDS EMITTER TO GROUND VOLTAGE is large resistor quite constant. In this way the feedback voltage does not respond to the AC signal that is being amplified. The feedback voltage responds only to slow changes that try to raise or lower the quiescent point. Some of the circuit gain is lost by this CONSTANT RELATIVE V, n WHICH CHANGES RAPIDLY TO it makes the circuit behave more consistently over temperature extremes. When it is mass produced, the circuit gain will be more consistent than the gains of the individual feedback. However, the circuit. Small emitter common when transistors two or help to BASE r CURRENTS used resistors like this are especially in more transistors make are run in parallel. They the transistors turn on equally even though one transistor may have more gain than another. temperature compensated JFET class A is seen in Fig. 7-25. Remember that JFETs require large voltages below the source voltage to turn them off. Zero volts between gate and source will turn them almost full on. Gee Whiz! This circuit is identical to Fig. 7-24! The A amplifier QUIESCENT differences between the POINT of the various resistors. Rj, AND R 2 PROVIDE A VOLTAGE WHICH PRODUCES A BASE CURRENT OF - 3M a AFTER THE FEEDBACK FROM R E IS TAKEN INTO ACCOUNT 7-24 Biasing a bipolar transistor class circuits are the sizes RL >. R3. large voltage below the source voltage Ri Fig. two the source resistor, R3. must Because a is have needed, a large develop the large voltage. This below-the-source voltage should be at least large enough to turn off the transistor. The quiescent gate voltage for class A operation is also below resistance A amplifier with negative feedback. L24 to the source voltage, but it between the still lies R. supply voltage and ground. It can be firmly established by a pair of voltage dividing resistors, Ri and R2, where Ri is very much larger than R 2 Notice that if a bipolar transistor were plugged into this circuit, it would turn off so completely that it would be operating class C, not class A. In shown And Dynamic Amplifier in Figs. 7-24 and DC 7-25 could be biased to operate in classes A, AB, Examples include the emitter (and B circuits (one-half of a class B amplifier) or C with any currents that establish the quiescent point. source) re- by-pass capacitors and input coupling capacitors seen in Figs. 7-24 and 7-25. The radio frequency choke input and the LC resonant cirsistor type of transistor. However, the values of Rj, R2 and R3 must be carefully selected in each case. and the impedance matching and cuit in Fig. 7-18 NEGATIVE SUPPLY signal inverting transformers in Fig. VOLTAGE INPUT Char- Throughout this section there have been examples of capacitors and inductors in the circuits that behave differently for the rapidly changing AC signal than they do for the slowly changing . summary, the Static acteristics COUPLING CAPACITOR 7-15 other examples. Even transistor itself depend on whether you discussing DC or AC are the characteristics of a are parameters. For example, static transistor gain and dynamic transistor gain are usually listed separately in transistor SOURCE even though they are usually very Because the components of an amplifier appear differently to DC and AC currents, it is as though there were two different amplifier circuits RESISTOR in one. It is all the specifications, Vout similar. > BYPASS CAPACITOR considered separately. > circuit of course, but To calculate the DC bias sometimes redraw an amplifier circuit without any inductors or capacitors. Capacitors are simply left out and inductors point, engineers fjfy GROUND GATE TO SOURCE DC become ordinary wires. To consider the AC operation, DC components like the power supply are conveniently left out and the transistor becomes an imaginary AC generator. If the power supply is "left out" of the circuit and becomes a wire, the VOLTAGE IS +2 VOLTS. IS "BELOW" THE SOURCE VOLTAGE IN THE THIS NEGATIVE SENSE. E.G., IS EVEN MORE "BELOW" THE SOURCE VOLTAGE, SAY +6 VOLTS GROUND -Id same sometimes the behavior of an amplifier can be better understood if the DC and AC aspects are emitter follower configuration really does have the collector common to input and output. How useful these procedures are for technicians is an open question, but it is important to know the dif- PCHANNEL JFET CHARACTERISTICS ference between static and dynamic amplifier characteristics. QUESTIONS: GATE VOLTAGE 1. 2. In order to transfer power efficiently from a voltage source into a resistor load, what must be true about the voltage source and the load resistance? Suppose the resistance of the load is not given voltage source. Is there anything that can be done to optimize the transfer of power? Will your answer to this question work with all appropriate for a Fig. 7-25 Temperature compensated class JFET amplifier. A 125 voltage sources? 3. In each of the three basic bipolar transistor amplifiers, what is the relationship be- 8. What does the transfer characteristic of a transistor have to do with the amplifier distortion tween input resistance and output resistance? In other words, if you change one, what will be the effect on the other? a class A classes AB, C and E? the in What about there any way to amplifier? Is for distortion that is built into transistor used B or class compensate What the degree of straightness of when characteristic it is in a linear amplifier? amplifier configuration can be used in place of a voltage step-up transformer? What A amplifier configuration can be used B push-pull class amplifier is built complementary P-N-P and N-P-N in place of a current step-up-transformer? tors. What sistors from transis- properties should these tran- have in order to minimize distor- tion? In Fig. 7-4 one common emitter amplifier is shown driving another. Since the load re- RLi. is not the load where we wish to deliver power, it follows that the resistor RLj should have the maximum resistance so it will not waste power. What two factors determine this maximum resistance? Why is a 200 Megohm resistor unlikely to 10. sistor, work for A class C amplifier DC ammeter is tuned by observing a in the collector circuit. What adjusted to tune the amplifier? What happens if the amplifier is not tuned? is RLi? 11. Explain the analogy between the class C amplifier and an adult pushing a child on a swing. A large power transistor when wired in the common emitter configuration has an output impedance of 10 ohms. Now suppose that it is desirable to use this transistor in a class C amplifier to drive an antenna 12. ohm impedance. Would another amplifier configuration be more desirable for driving the antenna? Which one and why? Does this change the input requirements? which has a 300 Suppose you are building an amateur radio transmitter with which you plan to change frequencies frequently. Why are classes C or E undesirable for this application? What classes could must you pay class C it preferable A to in the A class D amplifier is used as a switch to turn on a powerful solenoid. The solenoid in turn controls a hydraulic piston in automatic braking system for aircraft landing Four large transistors in parallel Each transistor has its own resistor in the emitter circuit. Why do you suppose that these resistors are necesgear. drive the solenoid. you use and what penalties for your decision not to use or class use inefficient low power amplifier stages of a powerful transmitter? is amplifiers like class 13. 7. Why E? sary? 126 HYDRAULIC FLUID TO BRAKES PISTON WHEN TRANSISTORS FAIL THEY USUALLY BECOME SHORT CIRCUITS. SO. FUSES IN SERIES WITH COLLECTORS ALLOW A TRANSISTOR TO FAIL AND TAKE ITSELF OUT OF THE CIRCUIT. FOR CONVENIENCE BASE LINES ARE SOMETIMES DRAWN PASSING THROUGH THE TRANSISTOR BRAKE ON BRAKE OFF BRAKE OFF EQUAL EMITTER RESISTORS 4 14. Referring to Fig. 7-21, where on the load line is the bias point for class C 17. A transistor Suppose you wish to bias a class B am- using a set of volt-ampere charand a load line. Outline the steps you would follow using any transistor. Why is your amplifier likely to need extra power supplies if you use JFETs or depletion type MOSFETs? circuit in the drawing is a class A made from an enhancement MOSFET. What is the advantage of conamplifier bad necting Ri to the drain instead of to the positive power supply as it was in Fig. 7-23? Why? thermal runaway? When is it likely to happen and what can be done in the design of amplifiers to prevent it and lessen its consequences? 19. What is the difference between static and dynamic amplifier —MM Vin idea. is id > I /ENHANCEMENT^ NCHANNEL \MOSFET J Vout 20. characteristics? You have been asked to build a power amplifier to drive a heater to keep a bush pilot's feet warm in darkest Alaska. A block diagram of the heater shown. The R2 four individual tran- What R1 >-He made from 18. + SUPPLY RL save This single Darlington transistor has a gain of 10,000,000. They plan to build a class A circuit like Fig. 7-24 but using the Darlington transistor. Vj n will come directly from the needle cartridge (a kind of microphone) on the tone arm of the record turntable. The output of the transistor will be a loudspeaker in place of Rl- Theoretically, the amplifier can be made to work beautifully. However, this design is a very acteristics The to sistors. plifier 16. plans building an entire monaural high fidelity amplifier from a single Darlington Explain your answer. 15. manufacturer stereo money by amplifiers? off circuit is resistive heater elements run the aircraft battery and are tied to at one end. The heater elements are ground > >, 27 built into the pilot's boots. Together they have a very low resistance and require a DC current to run them. The temperature is controlled by thermistors built into the boots. The temperature signal from the thermistors goes to a feedback amplifier circuit that compares the thermistor voltage with a comparison voltage that represents the proper temperature for cozy feet, the output of this circuit is a positive voltage signal which tells the amplifier when to turn on the heater. Draw a circuit diagram of your amplifier (everything inside the square) and specify the general type of transistor, the class of large the amplifier, the amplifier configuration, and the kind of voltage input signal your needs amplifier Remember pilot-feet, that not (AC, we DC pulses, etc.) are interested in warm A basic warm transistors. principle from Section 5 may be useful. COMPARISON VOLTAGE 9 +12 VOLTS FEED BACK AMPLIFIER CIRCUIT TEMPERATURE CONTROL SIGNAL TURNS ON HEATER POWER AMPLIFIER YOU MUST DESIGN /777 VOLTAGE REPRESENTS ACTUAL TEMPERATURE "K RESISTANCE HEATER IN PILOT'S THERMISTOR MEASURESTEMPERATURE OF PILOT'S FOOT. 128 S V BOOT SECTION VIII Sine Introduction A. wave Sine toward the center of the bottom of the trough and will try to remain there. In other oscillators are receivers as local oscillators. basic words, the center of the trough is stable. In contrast, if we roll the ball up onto the side of the trough and release it, it will always roll back toward the center because the ball is unstable on radio to They are used in transmitters to generate the basic operating the sides of the trough. fre- quency signal which is then amplified to produce the high power signal which is sent to the antenna. Transistor (and vacuum variation of the amplifiers trough, we discussed will in the Tunnel diode oscillators are a form of which uses some of the same principles we are going to cover in this chapter. It may be useful for you to review that portion of Section we If tube) oscillators are a not only overshoot and forth until oscillator the ball on the side of the release it will trough. In fact, last section. wave Oscillators ball will roll transmitters and superhetrodyne radio receivers. Sine wave oscillators are used in superhetrodyne sine Wave friction all will down up the ball The comes friction called it is roll back and dissipated by to rest in the center of that degrades or dis- sipates the amplitude of a sine 3. to the center, far side of the continue to the original energy and the the trough. it roll roll wave oscillation is damping. UNSTABLE POINTS h/ \5 A TENNIS BALL PLACED ON THE Now, instead of looking at a cross section of the round-bottomed trough, we will look at a long ROUND BOTTOMED TROUGH SIDES OF A section of the trough as viewed from above. To complete the picture we will incline the trough slightly downhill to the right. Now when we release the ball up on the side of the trough, it not only rolls back and forth through the stable point WILL ROLL TO THE BOTTOM OF THE TROUGH V STABLE POINT trough, downhill to the right. Fig. 8-1 B all-in-trough use a mechanical sine wave generator you to sine wave oscillators. Picture a large, round-bottomed concrete ditch or metal trough. A tennis ball is placed on the edge or side to introduce of the trough along the of the ball and allowed to roll down into it. it seen from above is a sine wave. After the ball has traveled a distance down the trough, the amplitude of the sine wave cycles will begin to die out due to friction. This happens in any practical oscillation system. The only way to keep the sine wave amplitude constant is to inject a little energy into each sine wave cycle to keep the energy of the ball or other oscillating system constant. analogy for a sine wave oscillator. We will rolls The path in the center of the trough, The 129 BOTTOM TROUGH LINE BALL ROLLS DOWN TROUGH FROM LEFT TO RIGHT WHILE IT OSCILLATES OF IS BACK AND FORTH ACROSS THE TROUGH QUIESCENT POINT DOWN HILL END OF TROUGH BALL RELEASED HERE A Fig. 8-2 ball rolled down a trough can Most A sine the center of the load is in wave oscillators are amplifiers which amplify their line. based on class own seconds to complete a single cycle. The lesson from this is that a sine wave oscillator must have two basic parts: an amplifier with positive feedback and a resonator or filter which determines the frequency of the sine waves that will be produced. the amplifier, an electronic oscillation would be wiring of the wave as seen from above. culvert 20 feet across, the ball will take several outputs. The amplifier adds a little energy to each sine wave cycle to keep the oscillation energy constant and the sine wave amplitude uniform. Without damped out very quickly by a sine back and forth across the trough are controlled by the acceleration of gravity and the physical size of the trough. If the trough were only two feet wide, the ball might roll back and forth twice a second. However, if we roll a bowling ball into a Hopefully, gravity pulling the ball back toward the center of the bottom of the trough reminds you of a class A amplifier in which the quiescent point make the resistance in the circuit. An amplifier which amplifies its own output an example of positive feedback. We have already discussed examples of negative feedback in which some of the output is inverted and fed back into the input in a way that decreases the amplifier gain. That is, negative feedback makes the output signal smaller than it would be with- The Phase Shift Oscillator B. is the resonator or let's it, amplifier first is means that out the feedback. In positive feedback, some of the output is fed back into the input to make the amplifier output larger instead of smaller. In the case of sine wave oscillators, it is this increase in gain that compensates for energy losses in the circuit and keeps the sine wave amplitude high. filter we just spoke of. look at the amplifier a it is voltage explain The type, which common emitter inverting almost always a To itself. common source design. Since the amplifier inverts the input signal, the output of the amplifier or go down whenever the input goes up in voltwere used so that the output were directly coupled to the input, this would be negative feedback. This is because the feedback is the opposite polarity of the input. In order for this to be positive feedback and reinforce the input, the output signal must be inverted before it is fed back into the input. Now when the input signal goes up, the feedback signal will go up too. will age. If direct feedback wave generator has no feedback to maintain the oscillations, but it does have an oscillating system that is comparable to an LC tuned circuit or other electrical resonator. The frequency of the ball's oscillations The shows a block diagram of a phase The "tuned 180° phase shift" is Fig. 8-3 shift oscillator. ball-in-trough sine positive 130 + FEEDBACK CLASS A AMPLIFIER TUNED 180° PHASE THE TRIANGLE SHIFT IS A GENERAL SYMBOL FOR "AMPLIFIER." THE LITTLE CIRCLE MEANS THAT IT INVERTS THE VOLTAGE > SINE Fig. 8-3 Sine wave oscillator block diagram wave by Inverting the output signal is one of the purposes of the 180° phase shift. It takes sine waves and "turns them upside down." What it really does is delay the sine wave 1/2 cycle so that the input to the amplifier and the output of the phase shift network can go up simultaneously and go down simultaneously. You didn't are probably saying to yourself, "If want an inverted signal, why didn't steps, must compensate phase shift by re-inverting the signal. 180°, it must be done RC 60° with each shifting characteristic of an in at least three circuit. RC The phase circuit is frequen- cy dependent. In other words, the triple RC circuit won't shift any sine wave 180°, just a particular frequency of sine wave. Consequently, the oscillator will oscillate at that certain frequency where the total feedback phase shift, including you you the amplifier, is 360°. An RC use a non-inverting amplifier?" The reason is that resonator or filter networks usually invert the signal and we are stuck with the 180° phase shift. Therefore, the amplifier WAVE OUTPUT phase shift oscillator is shown in Fig. A amplifier happens to be a JFET, but it could be any device with voltage gain. Instead of RC integrating phase shift circuits, it 8-4. for this The class -* + FEEDBACK If a non-inverting amplifier were used and the phase shift network were omitted, the circuit might oscillate, but the oscillation frequency would be determined by the stray inductances and capacitances in the circuit. There would be no deliberate control over the oscillation frequency and the frequency usually turns out to be very high, tens of megacycles. Moreover, the frequency of the oscillation would be very unstable and would change with temperature, the supply voltage and even mechanical vibration. Remember in Section 5 we talked about the need to delay the triggering sine wave so that the SCR could be made to fire after the voltage peak of the AC sine wave? If you recall, we used one or two RC phase shifting circuits for this purpose. We said that in a practical circuit, each RC circuit could shift the sine wave over about 60°. If you try for 90°, the phase shifted signal becomes CLASS A AMPLIFIER V_ 180° vanishingly small. Therefore, to delay the sine Fig. 8-4 131 RC phase PHASE SHIFT shift oscillator uses differentiating RC phase shift. In other words, this circuit makes the voltage sine wave advance in phase rather than retard in phase. Either way you do it, it has the effect of inverting the sine wave signal. This phase shifter is a high pass filter, since low frequencies can't get circuit. plied across an frequency, the impedance becomes very high, finite, and the circuit is neither capacitive nor ductive. At resonance the LC Resonant Circuit Oscillators Resonant circuit oscillators are a to generate radio frequency sine nals. The common wave when the oscillator sig- is is working on the desired frequency. principle of an inverting amplifier driv- ing the 180° phase shift network is the same. unpopular for low, audio frequencies because they would require large, expensive transformers. But they are very good for generating radio frequencies because they may be tuned just by varying the single capacitor. These in- operating at the resonant frequency, the LC circuit does not change the phase of the transformer feedback. When the phase shift of the transformer circuit is exactly 180°, the oscillator way in- circuit abruptly loses its phase shifting ability. Therefore, through the capacitors. C. LC parallel When the voltage sine wave apLC circuit matches the resonant Let's review the properties of an resonant REACTANCE X oscillators are A NDUCTOR VOLTAGE IS ADVANCED, U >z uj PHASE SHIFT OCCURS ACROSS TRANSFORMER. IF YOU WIRE IT CORRECTLY I ACTS LIKE AN 180° FREQUENCY w > o uj L-C CIRCUIT II <o RESONANCE DETERMINES THE FREQUENCY Q. < ACTS LIKE A CAPACITOR VOLTAGE IS RETARDED WITH RESPECT TO CURRENT < UJ <J 0C Fig. 8-6 A LC resonant parallel circuit Now suppose that the oscillator frequency begins to drop below the resonant frequency. As you can see in Fig. 8-6. the LC circuit now acts inductive and will begin to advance the voltage with respect to the current. This phase change speeds up the oscillation by changing the overall Fig. 8-5 A phase shift from 360° to 270°. The entire feedback loop now has three phase shifts. The amplifier inverted the signal and accounts for 180° phase shift. The transformer action inverts the signal and shifts it another 180°. The inductance of the off resonance LC circuits shifts it forward 90° for a total shift of 270°. resonant circuit oscillator As we saw in Section 7, the transformer is an way to invert an AC signal and the induc- easy tance of one of the windings can be used as part of an LC resonant circuit. Just by wiring the transformer correctly, we can invert the signal and provide the 180° phase shift. The LC resonant circuit determines the resonant circuit frequency by providing extra phase shift, either retarding the feedback or advancing it. whenever the oscillator frequency strays from the resonant 180° + 180° This forward shift and soon returns faster - 90° makes it = 270° the oscillation go to the resonant frequen- cy which is the condition where the total shift exactly 360°. frequency. 132 is Now suppose the oscillator frequency drifts LC circuit suddenly acts like a capacitor and retards the voltage with respect to the current. This gives a total shift of 360° plus 90° for a total of 450°. This "slow" feedback forces the oscillation frequency back down again until it matches the LC resonant frequency. As you can see, this circuit locks the oscillator frequency into the LC resonant frequency and makes the oscillation frequency very stable. amplifier circuit and this phase shift changes too high, the There catch is is The may not 180° implies that the LC circuit and transformer may make up the difference to produce a perfect 360° overall shift. This implies that the LC resonant frequency may not be exactly the same as the oscillator frequency, but is usually extremely close. The one fact you may count on with all sine wave oscillator designs is that the overall shift will be 360°. There is This resistance "blurs" the nice sharp resonant point and may allow the oscillator frequency to drift slightly. This idea is usually expressed with the idea of "Q," or quality of an inductor (or D. where X is R is resistance R the resistance that the impedance in ohms we Colpitts And Hartley Oscillators In the transformer resonant circuit the transformer and capacitor provided two separate functions: the transformer inverted the voltage signal 180° and the LC combination resonant circuit modified this phase shift whenever the oscillator frequency drifted. The Colpitts and Hartley oscillators accomplish exactly the same task using a "n" or pi network. other reactance.) X fact that the transistor amplifier shift the signal exactly always a "catch." In this circuit the reactance subject to can alter a perfect 360° phase shift can contribute to an unstable oscillator frequency. that "pure" inductors can't be built. always some resistance in the LC circuit. Q = is too. All of the factors that don't want and of the reactance that we do want. X can be the reactance of any component or not just inductors. The higher the Q of the LC circuit as a whole, the more sharp the resonant point will be and the more stable the oscillator frequency will be. Don't forget that the other 180° of phase shift is in the transistor Looking at the pi network that these circuits do the circuit, > THIS RESONANT TRANSFORMER CIRCUIT IS EQUIVALENT TO rr (PI) Fig. 8-7 NETWORKS LC pi not obvious two functions can not be visualized separately. Let's redraw the two pi networks as parallel resonant circuits in which "ground" is located midway between top and bottom of the LC circuits. > THESE it is same job because the (n) networks can replace a tuned transformer. 133 Cp PARALLEL LC [NO GROUND I Fig. 8-8 SPECIFIED EQUIVALENT PI NETWORK WITH GROUND SPECIFIED Pi networks can be equivalent to a parallel From The location of ground isn't specified for the simple LC circuit in Fig. 8-8, but is specified for the two redrawn pi networks. Looking at these diagrams we can conclude that: The pi LC This how the third conclusion you can see is a is little off the subject, but this is as is formers are frequently replaced with pi LC networks. For example, Fig. 7-18 showed a transmitter class C RF amplifier driving an antenna. In transmitters the tuned transformer is often replaced with a pi network. In fact, the values of L and C do not have to be symmetrical and the pi network can even match two different impedances, just like a transformer with different numbers of turns on the transformer windings. grounded. pi circuits are symmetrical, so when they posite ends of the network. FEEDBACK + FEEDBACK LARGE COUPLING CAPACITOR ^ specified. good a time as any to mention that tuned trans- are resonating in the parallel mode, the opposite polarity of voltage will appear at op- -+ is accomplished. Also, when the pi network is ringing at its reasonant frequency, the inductive and capactive phase shifts abruptly disappear, just as we described earlier. circuit. Neither end of the pi networks The but ground circuit, the inverting action networks must have a resonance point like a parallel 2. LC resonant LARGE COUPLING CAPACITOR J V v ^ J AMPLIFIER Colpitts "n" v J CLASS A PHASE SHIFT CLASS A Fig. 8-9 K. NETWORK Fig. 8-10 134 v PHASE SHIFT AMPLIFIER RF oscillator k. "n" Hartley NETWORK RF oscillator J The Colpitts oscillator uses the pi network which has two capacitors and one inductor. The circuit resembles the RC phase shift oscillator, except that the pi network replaces the three RC circuits. To remember the difference between the Colpitts and Hartley oscillators, the Colpitts oscillator uses the pi network which is a low pass filter. It passes low frequencies because low frequencies can pass through the inductor, but high frequencies are shunted to ground through the HALF OF COIL SERVES AS LOA -Vcc CENTER TAP IS "AC GROUNDED" TO SUPPLY VOLTAGE COUPLING CAPACITOR BLOCKS DC FROM V cc capacitors. The Hartley oscillator is practically the same uses two inductors and one (or more) capacitors to form a pi network which is a high pass filter. It is a high pass filter because low frequencies are shunted to ground through the inductors, Li and L2, while high frequencies as the Colpitts, but it are conducted through the capacitor C2. The main purpose of the capacitor Ci is to keep the DC on the collector from being shorted to ground through the inductor L^. This coupling capacitor, like the others indicated in the Hartley and Colpitts oscillators, are very large so that they pass the oscillation frequency with negligible voltage drop. Their function is to pass the AC signal voltage without passing DC current which would effect the quiescent point or burden the power supply unnecessarily. + FEEDBACK you might realize that the oscillator is just an inverting amplifier driving a phase shift feedback network! E. In the Hartley oscillator, one of the two coupling capacitors can be eliminated by connecting the inductors to the power supply terminal (V cc instead of ground. Remember we said that from the dynamic, AC point of view, the DC voltage source is an "AC ground" at both ends of the supply voltage and can be thought of as a short circuit for small AC currents. Moreover, the function of the load resistor can be accomplished with one of the inductors, thus saving another component. A streamlined Hartley oscillator is seen in Fig. 8-11. Crystal Oscillators Quartz rock is a clear, glass-like naturally occuring form of silicon dioxide. Unlike ordinary glass, it is a precise crystalline structure where each atom is arranged at specific angles to its neighboring atoms. It is an excellent insulator and electrons and holes are permanently trapped in the crystal matrix. When thin wafers of this crystal are subjected to radio frequency electric fields (voltage), the trapped charge is attracted or repelled. Because the charge is trapped in the crystal, the charge can't flow toward the voltage. ) Instead, voltage. If it is "Streamlined" Hartley oscillator Fig. 8-11 the whole crystal bends toward the The reverse is also true— if you bend a quartz crystal, a voltage potential appears across it. This effect is called the piezo electric effect and is more common than you think. Bones grow in thickness in response to excercise and muscle growth. This process is controlled by subtle voltages that appear on the surface of the bone desired to vary the frequency of a Col- can be done by varying the inductance or capacitance of the odd component in the pi network. For example, in the Colpitts oscillator, the single inductance could be a slug tuned coil. By screwing the powdered iron slug in and out of the coil, the inductance can be varied. By varying the capacitor C lt the resonant frequency can be varied over 2 to 1 range. Out in the real world, Colpitts and Hartley oscillators are very common. However, the circuits are almost never drawn as clearly as here for fear that pitts or Hartley oscillator, this when bones are bent. Getting back to radios, thin wafers of quartz made to mechanically and electrically oscillate when a radio frequency sine wave voltage is applied across the wafer. While crystal can be 135 X REACTANCE INFINITE METAL LU PLATES QUARTZ CRYSTAL > SERIES CLAMPED AROUND CRYSTAL O = WITH SPRING Q Z / RESONANCE IMPEDANCE WITHOUT INDUCTANCE OR CAPACITANCE ZERO IMPEDANCE PARALLEL RESONANCE FREQUENCY -r c P LU LU II <o 0. < o RELATIVELY < LU cc SMALL RESISTANCE EQUIVALENT CIRCUIT OF A CRYSTAL MOUNTED BETWEEN METAL PLATES Fig. 8-12 the crystal crystal is Quartz crystal where vibrating, the charge trapped in the moves back and forth. From an communication and navigation aircraft radios operate. Without crystals to provide electrical point of view, the crystal behaves like a resonant fre- By grinding thinner and thinner wafers of quartz crystal, higher and higher resonant frequencies are obtained. quency standards, aircraft radio transmitters would not stay on their assigned frequencies and would be constantly be drifting off into other nearbv channels. Unfortunately for textbook writers, the quartz crystal does not behave like a simple series or parallel LC resonance. The quartz crystal behaves like a combination of parallel and series resonance. However, these two resonant points are extremely close together. Between the two resonant points is a very narrow region in which Crystal oscillators can be built a variety of ways. Crystal controlled versions of the Hartley and Colpitts oscillators can be built by substituting the crystal for an inductor in either circuit. The capacitor(s) in the pi circuit can then be given values that optimize the circuit for the resonant frequency of the crystal. Three common os- circuit. the crystal behaves like an inductor. Everywhere else, the crystal acts like a capacitor. As you know, inductors shift an AC sine wave voltage 90° ahead of the current. In contrast, a capacitor shifts the voltage 90° behind the current. An inductance and a capacitance can work together to produce the necessary 180° phase shift. The crystal will only behave like an inductor over an extremely narrow range of frequency. This means that when crystals are used as part of the phase shift element in a feedback circuit, they shift the phase of the feedback correctly only at one changes. This The second stability circuit teresting because it has The first been directly which uses the JFET is inon the capacitance be- relies tween the drain and gate to provide the feedback signal from output to input. This capacitance sum is P-N junction capacitance plus the capacitance due to the proximity of the gate and the of the drain wires. Strange as it seems, the use of this stray, unintentional capacitance is quite reliable this same circuit is widely used with vacuum tubes and bipolar transistors. This second circuit can be shown to operate as a Hartley oscillator if and or the load on the frequency in Fig. 8-13. because the inductor replaced by the crystal. frequency. This property gives the oscillator very little tendency to change its freoscillator shown clearly based on the Colpitts is plan, specific quency as the transistor heats cillator circuits are oscillator circuit is especially critical at very high radio frequencies you assume the crvstal 136 to be an inductor and the drain circuit inductor to be the second inductor. The stray capacitance provides the capacitor to complete the pi network. The and third circuit it is oscillator. and is called a Pierce oscillator supposed to be related The connection isn't to the Colpitts obvious though perhaps better to look at the circuit as a circuit which provides positive feedback from collector to base. it is parallel The Armstrong Oscillator F. The next two oscillator circuits are presented with vacuum tubes because that is the way you may see them on a radio-telephone license examination. Also, these are old circuits and you will probably not find them in newly designed equipment. The regenerative radio receiver is a kind of early day radio receiver closely related to the Armstrong oscillator. Up until 1979 the King Radio Company made an aircraft marker beacon receiver that used the regenerative receiver principle. The marker beacon is a 75 MHz radio beacon that is part of the instrument landing system (ILS). When the marker beacon can be received, the pilot knows that he is in the correct position to continue his final approach to the runway. A CRYSTAL CONTROLLED COLPITTS OSCILLATOR C STRAY VDD + C DRAIN GATE UINIIN CIN IIUINHL STRAY. UNINTENTIONAL SI««I. /p I CAPACITANCE IS FEEDBACK PATH THE^. I !""" Voul !~~v » PCHANNEL LC JFET The Armstrong oscillator is very similar to the transformer coupled oscillator in Fig. 8-5. f-i MIM7K HIGHLY MODIFIED HARTLEY OSCILLATOR /7?7 RFC I The volt-ampere characteristic of a vacuum tube resembles that of a junction FET. When the grid is biased to the same voltage as the cathode, this is analogous to biasing a JFET so that the gate has the same quiescent voltage as the source. One difference between a vacuum tube and a JFET is that a small but significant positive current flows into the grid during operation. In Fig. 8-14 the bias for the grid is established by the parallel resistor and capacitor, Rg and Cg. This parallel RC circuit is used the same way we have been putting parallel RC circuits in series with the emitters in bipolar transistor amplifiers. A DC voltage appears across the resistor to establish the resting grid voltage. The capacitor Cg holds this bias voltage constant. Vout > N CHANNEL JFET The positive feedback from the plate to the grid (analogous to feedback from the drain to the is accomplished with transformer coupling between L2 and Li. Notice that the dot markings are reversed in order to produce the 180° phase shift. Instead of resonating the oscillation on the output side, this circuit tunes the oscillation on gate) PIERCE CRYSTAL OSCILLATOR Fig. 8-13 fTYj Crystal oscillator circuits 137 PHASE SHIFT FEEDBACK BETWEEN 180° COUPLING CAPACITOR PREVENTS DC CURRENT FROM GOING TO GROUND L2 and Li USED IN PLACE OF LOAD RESISTOR R.F.C. 6 +VB o - PLATE VOLTAGE TYPICALLY 45 to 150 VOLTS /777 Fig. 8-14 Tuned grid Armstrong the input or grid side. Another feature of this functions in a single circuit. First, cir- detects an amplitude modulated taken off a third winding of the transformer on the input side. Of course there is no reason why a voltage signal could not be taken off the plate. cuit is that the output G. oscillator is a crystal set. Second, it it (AM) rectifies or signal like amplifies the signal. The Regenerative Detector if it is these functions are performed better by several, separate transistor circuits all working together. shows a regenerative detector radio receiver which is very similar to the tuned grid armstrong oscillator circuit we just looked at. The regenerative detector accomplishes three Fig. 8-15 However, in the early days of radio when a single vacuum tube cost a week's pay, a circuit like this was a boon to the budget. As late as 1960, if you AMOUNT OF FEEDBACK IS VARIABLE BYPASS CAPACITOR GROUNDS R.F. COMPONENTS HERE BUT PASSES AUDIO FREQUENCY TO HEADPHONES HEADPHONES CONVERT AUDIO 'FREQUENCY DC CURRENT VARIATIONS INTO SOUND rm rrn Fig. 8-15 And adjusted so that it is self-oscillating, it modulates morse code signals so that they sound like the familiar musical dots and dashes. In a modern superhetrodyne radio receiver, all third, Regenerative detector radio receiver. 138 wanted to build a very small, sensitive, very high frequency two-way radio (walkie-talkie), the regenerative detector built with a miniature vacuum tube was still the best way to do it. In fact, many arrow signifies that the coupling between L^ and is variable. This control is called the regeneration control. When the coupling between Lj and L2 is very weak, the amplifier acts like an ordinary tuned amplifier serving as an active detector. As the feedback is increased by increasing the coupling, the gain of the amplifier is increased. This makes the signal heard in the earphones much louder than it would be without the feedback. When too much positive feedback is used, the circuit begins to oscillate. When this happens a voice signal becomes distorted and the background static becomes a high-pitched rushing sound. L2 of these old walkie-talkie cir- used the same oscillator circuit to generate the transmitted signal! Often a separate vacuum cuits tube audio amplifier amplified the received signal when on "receive." When on "transmit," the same audio amplifier amplified the microphone AM modulated the transmitted signal. signal and These crude walkie-talkies really worked. One of the author's fondest memories is standing on top of the chimney with a home-built regenerative walkie-talkie and talking to another ham 2000 miles away. Today there is no reason to endure When morse code is received by a simple crysimple superhetrodyne, it does not sound musical. If the morse code signal is strong, it just makes a thumping noise in the receiver that is very hard to decode. When the code signal is weak, it makes the background static go on and off with a rhythmic pattern that is also difficult to follow. However, when the code is mixed with an RF signal from a separate oscillator, such as that caused by an oscillating regenerative receiver, suddenly the morse code dots and dashes are musical tones and are very distinct to the ear. Modern superhetrodyne receivers generate a separate local oscillator signal called a beat frequency oscillator in order to make code readable. Even the newest automatic direction finders for aircraft are equipped with BFO circuits for reading stal set or a of a regenerative receiver. difficulties Miniaturized superhetrodynes and crystal controlled transmitters can be built even for high frequencies. The tiny aircraft emergency transmitters which have 2-way voice capability on 121.5 MHz and 243 MHz illustrate the current tech- the nology. In Section 2 we studied diode detectors and crystal radio receivers. rectifies a radio A crystal diode detects or AC waveform because it only con- ducts current in one direction. A transistor or tube amplifier can also detect or rectify an RF signal by operating the amplifier as if it were half of a class B amplifier. In this way, only one polarity of the signal is amplified. An amplifier used as a detector like this is called an active detector morse code. because it amplifies as well as detects. If it is really operating class B, it is appropriate to call it a linear active detector. Referring to Fig. 8-15, if we ignore the feedback coil, L2, the regenerative detector is basically an amplifier with a tuned LC circuit on the input to select the desired station. Notice that the radio frequency choke in the Armstrong oscillator has been replaced with a pair of headphones. Headphones are inductive devices which behave much like RF chokes electrically, but also make sounds proportional to the changes in DC current passing through them. Now that you are checked out on sine wave we regret to tell you that the inverting oscillators, amplifiers used in these oscillators are not always class A. It is possible to cillate class make an even though the transistor B or C. It is still amplifier osis biased like true that the purest sine waves are generated with class A amplifiers because these have the least distortion. In the last section we saw that a class C amplifier can produce a sine wave output even though the transistor is turned on only to make short current pulses to sustain the ringing in the parallel circuit. The oscillating is happening in the LC The and the transistor just "strikes the bell." A class C oscillator can be thought of as a selfexcited class C amplifier in which the input current pulses are derived from the sine wave oscilla- added to this amplifier circuit by the coil L2. As you might guess, this makes the circuit oscillate at about the same frequency that the tuned LC circuit is tuned to. Notice the arrow which connects Li and L2. This positive feedback LC cir- cuit is tion in the output 139 LC circuit. Sine wave oscillators, especially crystal conhave very stable frequencies compared to the oscillators we shall talk about next. Even though sine waves are not needed for computers and other digital circuits, digital circuits trolled ones, usually are oscillators controlled because of with the sine wave superior clock frequency stability. QUESTIONS: 6. Why RC are phase shift oscillators pre- wave ferred for low frequency sine 1. What wave are the two basic elements oscillator? 7. 2. What two What is 4. Why does the oscillation specific frequency in an properties does the phase shift network have? wave oscil- lators? of a sine the role of positive feedback in sine 8. wave oscillator? Why are three separate cuits oscillators? In order to work, an amplifier in a sine oscillator amplifies its own output. 9 wave occur at one RC phase shift sine RC phase shift cirneeded to delay the sine wave 180°? Suppose you wished to vary the frequency the RC phase shift oscillator. What would be required to do this? of This concept is easy enough to understand once it is started, but where does the input come from when it is first turned on? Why doesn't the amplifier remain at its quiescent point indefinitely? 10. What would be the easiest frequency the coupled, of way Hartley, to vary the transformer Armstrong, and Colpitts oscil- lators. 5. Suppose an oscillator is observed to have an extremely stable frequency. That is, there is very little tendency for the frequency to drift with temperature or vibration. Suppose you could measure the exact degrees of phase shift produced by the phase shift network for frequencies immediately around the operating frequency of the oscillator. What would you expect to find about the relationship between degrees of phase shift and frequency? 11. What is the advantage of a quartz crystal oscillator? What property gives it this ad- vantage? 12. What three functions does a regenerative detector perform in one circuit? What are regenerative detectors used for today? 13. What is an "active detector?'* "linear active detector?" 140 What is a SECTION IX Square Wave Generators And Bistable Circuits A. tennis ball on top of the log. If there are no Introduction ir- on the surface of the log to keep the ball from rolling, there is no reason to expect the ball to stay on the top of the log. It is bound to roll off in one direction or the other, but we have no way to predict which direction it will go. The position on top of the log is unstable because the ball will not remain there. Once the ball has reached the ground we shall assume that the ground is flat and sandy so that the ball will come to rest. The positions on either side of the log are stable because once the ball arrives, there is no tendency for the ball to jump back up onto the log. regularities we are going to study bistable which have two stable operating points; fully turned on and fully turned off. The multivibrator and other bistable circuits are important in computer and digital circuits. The multivibrator is a form of transistor oscillator which can be made to switch rapidly between its two stable states like the P-N-P-N diode and neon In this section transistor circuits relaxation oscillators The multivibrator square waves and is is tant form of digital puter temporary we described in Section 5. a simple way to generate presently the most impornumber counter and com- memory The tennis ball balanced on the log is an example of positive feedback. If you set it carefully on top of the log, it slowly begins to roll off in one direction or the other. The farther it rolls from the center, the faster it goes and the steeper the slope it is traveling over. It is as though the original slight deviation from the center multiplies itself again and again until the ball has gone as far as it storage circuit. A TENNIS BALL PLACED ON TOP OF UNSTABLE^ POINT X* A SMOOTH LOG CAN BE EXPECTED TO ROLL OFF IN ONE DIRECTION OR THE OTHER can, into the sand. In the last section we discussed sine wave oscillators which were based on amplifiers with a single, stable quiescent point. Bistable circuits can also oscillate. Surely you must be having misgivings about how a circuit with "stable operating points" can oscillate. These operating points can't be very stable if the circuit is incapable of remaining there. The following observations may help you: like the multivibrator Fig. 9-1 Ball-on-log analogy for two-state tran- sistor multivibrator To introduce you to the bistable circuit, we any circuit that is self-oscillating does not remain at its "stable operating point(s)" for any length of time, so perhaps it would be better to call these "temporary stable points." Some about on curved surfaces. This time we will use the conceptual opposite of a trough which is a solid cylinder. Suppose a large, smooth log is lying on a sandy beach. Now imagine that we attempt to balance a will return to tennis balls rolling First, textbooks 141 call these quasistable operating points. A common name Second, the positive feedback path in freerunning oscillators from output to input is always capacitive or transformer coupled so that there is no direct DC feedback from output to input. If you look back through the oscillators in Section 8, you will see that not one of the transistor amplifiers has a direct DC connection between output and input. Invariably the positive feedback changes with time. A capacitor discharges, or an inductor charges with current so that the feedback either disappears or changes its polarity. As soon as the feedback ceases or changes, the sine wave oscillator amplifier goes back toward its flop. we V ou ti and V ou t2- Whenever V ou ti goes high, the other output, V ou t2 goes low and output, vice versa. Instead of V ou ti and V ou t2, the outputs of flip-flops are usually labeled "Q" and "Q." The bar over the Q means that Q is the op- posite of the output Q. In other words, Q is low whenever Q is high and vice versa. For example, you might find a lead on a circuit diagram marked "Q of FF6." This means that the wire is the Q output of the sixth From flip-flop. the ball-on-log analogy, have concluded that The Multivibrator if I hope you these two transistors were turned precisely half on, it would be a toss up as to which output went high and which output went low. The halfway point is unstable, and for most applications should be as unstable as possible, so that the circuit spends as little time as possible Some multivibrators do not actually oscillate, but remain indefinitely in either of the two stable states. These bistable multivibrators are usually made from two direct coupled common emitter amplifiers. The collector of each transistor is directly coupled to the base of the opposite transistor. The result of this circuit is that whenever one transistor turns on, this action turns the will other transistor for this circuit is the flip- transistor flips while the other flops, presume. In any case, each of these two common emitter amplifiers has a load resistance and an quiescent point. In the case of a bistable oscillator circuit, the change in the feedback makes the transistor go to its opposite "stable'" state. B. One half-turned on. Fig. 9-3 shows a typical bistable transistor flip-flop. The half-turned on condition is made more unstable by the addition of speed up capacitors, C\ and C2. These are relatively small capacitors which are placed across the resistors driving the off. transistor bases. The capacitor across the base resistor of a turned-on transistor is charged to a fairly high voltage, nearly +V CC This is the difference be. tween the opposite collector and the base. In contrast, the capacitor across the base resistor of a turned off transistor discharges to a very low voltage, nearly zero. This zero voltage is the dif- ference between the collector-to-ground voltage which is about 0.6 and the base-to-ground voltage of the turntransistor, which is also about 0.6 volts. of the turned on transistor, volts, ed off When ONLY ONE OF THESE TRANSISTORSCAN BE ON (OR OFF) AT ONE TIME. WHENEVER ONE SWITCHES ON. THE OTHER SWITCHES charge instantly. Therefore, when the collector voltage rises, the opposite end of the capacitor tries to "pull" the opposite transistor base voltage upward. Large currents flow from the base into the capacitor and the transistor turns on. Once the transistor is turned on, the current through the resistor is enough to keep it turned on indefinitely. OFF. Fig. 9-2 off, the capacitor on discharged to zero volts and can't a transistor turns its collector is Bistable multivibrator 142 SPEEDUP + V CC = 6 VOLTS O CAPACITORS INSURE ABRUPT SWITCHING NOTICE WHERE COLLECTOR IS PULLED DOWN BY ZERO VOLTS ON TRIGGER WAVE FORM. time VERTICAL SCALE IS 2 VOLTS PER DIVISION. HORIZONTAL SCALE Q OUTPUT IS 0.5 MILLI- WAVEFORM SECONDS PER DIVISION. WAVEFORMS PHOTOGRAPHED ON AN OSCILLOSCOPE Fig. 9-3 A practical The opposite can be said about the capacitor across the base resistor of the turned on tranThis capacitor the ground voltage. This turns that transistor off was turned Speed up capacitors make the switching between transistors states very quick and insure that the voltage wave forms on the collectors, Q and Q are square wave in form. as abruptly as the opposite transistor charged to a high voltage. When the opposite transistor turns on, the base capacitor can't discharge instantly. Therefore, the voltage on the base is "pushed down" below sistor. bistable flip-flop on. is 143 low a voltage for positive current to flow from the collector into the trigger pulse network. Current will flow only when the diode is forward biased to allow the flow. The result is that only the collector with high voltage on it is affected. Moreover, the effect happens only when the input pulse is going down. The pulse must be on the way down in order for it to push the speed-up capacitor down and turn off the turned-on transistor. In the past we have always added resistors between the base and emitter to be sure that the bipolar transistor has a source of current to turn it has been turned on. The speed up capacitors make this resistor unnecessary because the charge stored in the capacitor will momentarily put a very low voltage on the base, below the base-to-emitter voltage and turn the transistor off. Whether the turn off current is a current entering or leaving the base depends on the transistor off once An whether we are using P-N-P or X-P-X transistors. So, since the capacitor does the turning off, we may omit the base-to-emitter resistors. In order for the bistable multivibrator to be we need a way to trigger the flip-flop to useful, puts. First The two diodes connected to the collectors allow an external pulse to make the flip-flop switch. As shown, a positive pulse is make it change Clever, is free down pulled the flip-flop change states, the input 1. turn it down to nearly zero volts. enough down The output pulses have half the frequency of the input trigger pulses. •2. to zero. It just speed-up capacitor to affect the base of the turned-on transistor. The speed-up capacitor is charged up to nearly the full collector voltage, Vcc- It can't discharge instantly, so when the collector voltage is pulled down slightly, the base end of the capac-itor will try to push the base of the turned-on transistor below zero volts. As soon as the base is driven below its turn off voltage, about 0.6 volts, the transistor turns off. When it turns off, the capacitor on that transistor's collector will pull up the base of the formerly turned off transistor and far the trigger input at zero volts flops that not pull the collector clear down is The two basic lessons about triggered flipyou should learn from this example are: to leave both collec- pens whenever the trigger pulse waveform drops back down to zero volts. The trigger pulse does it when between the pulses. This artifact is kept small by the 15K ohm resistor which prevents large currents from flowing down through the diode to zero volts. Without the resistor, the turned-off collector voltage would be voltage pulse pulls down the collector of whichever transistor is not already turned on. This hap- pulls you should notice that the frequency a fraction of a volt voltage huh? To make is output pulses. Also notice the small artifact or "dent" in the collector waveform when it is high. This dent is the collector voltage being pulled introduced to both collectors simultaneously. With the two diodes back-to-back, a current can't travel from one collector to the other collector. Xo matter what the polarity of one collector may be, one of those two diodes will be facing the wrong direction to let current flow from one collector to the other. On the other hand, negative current can flow into both collectors because the diodes are pointing in that direction. To put another tors. waveforms of the input pulses is twice as high as the longer states. way, positive current oscilloscope picture of the shown at the bottom of Fig. 9-3. The upper picture shows the trigger voltage pulses which are applied to the diodes. The bottom picture shows the waveform of either of the two collector out- for the trigger pulses make the flip-flop switch only when the input trigger pulse is going downward. It does not change state while the trigger pulse is going up. As you shall see shortly, responding to the end of the pulse, rather than the beginning, is vital when several flip-flops are put in series for use as The input counters. It may seem strange for the input to go to the collectors in this circuit. In fact, other textbooks are full of flip-flops that have the input pulse go- ing to the bases. However, sending a single input trigger pulse to both bases simultaneously is not practical. This is because there is no significant difference in voltage between a turned-on base on. and a turned-off base. They are both pretty close to 0.6 volts. Since both bases are getting the same message simultaneously, both bases will try to turn on or turn off together. Using the collec- Notice what is happening to the turned-on collector while the turned-off collector is being pulled down. The answer is that nothing is happening because the turned-on collector has too tors insures that only the side that is vulnerable 111 PULSES TO BE COUNTED time \y 23456789 1 10 11 12 ON FALLING RISES EDGE OF TRIGGER PULSE 01 h 1's 1 1 f1 1 1 FF1 Q1 time 0123456789 10 11 12 "1" LOGIC CIRCUIT Q2 T2 +1 1 1 2's RECOGNIZES THE COMBINATION OF PULSES THAT MEAN 11 PULSES HAVE OCCURRED. FF2 I I Q2 time I * 123456789 ' ' ' 1 ' 1 ' • ' 1 *" ' 1 1 i 10 11 12 "1' 03 1 4's A'T'ON THIS LINE MEANS THERE ARE NO 4's AT THE MOMENT 1 FF3 03 o | 1 234 56789 | 1 | i i 1 i 1 1 ] time 1 1 i A ONE HERE MEANS 1 ^ (ONE) + (TWO) + 1 NO FOURS + 10 11 12 11 TOTAL PULSES 1 (EIGHT)= ELEVEN. BINARY NUMBERS. ELEVEN = 1011 IN 1 8s / t time | i 1 Fig. 9-4 • • 1 234 567 89 i i i i i i i i i i i 10 11 12 "1" Flip-flops wired in series count pulses. Logic circuits look at all flip-flop outputs to recognize specific number of pulses. with two complete 40 transistor flip-flops costs about 50c. Moveover, they switch faster and there is no pull-down artifact. The details will have to wait for your digital electronics course. to being switched gets the message, while the other side The is not affected. flip-flop circuit in Fig. 9-3 is relatively simple and is made from about $1.50 worth of individual parts. However, the output waveforms | / 8's 4's 2's1's FF4 04 any M BINARY INVERTER Q4 T4 are not very clean due C. Uses For The Bistable Flip-Flop to the collector pull-down The Today, bistable flip-flops are nearly always built in the form of integrated circuits. These integrated flip-flops may contain as many as 40 transistors to accomplish little more than what we have done here! On the other hand, an IC artifact. flip-flop memory and has two basic uses. It serves as a as a counter or divider (Fig. 9-4). The relationship between the trigger input pulses and what happens flop so useful. 145 Q or Q is what makes the Each input pulse consists at flip- of a and registers voltage that rises suddenly, stops at a high point, then comes back down. Since it goes up and down, this come out of To use it the flip-flop. flip-flops as a pulse counter or divider, several flip-flops are wired in series as Fig. 9-4. The output shown Qj high. flip-flops at this point are un- changed. A high on Qi means we have counted from zero to one. The second trigger pulse comes in and causes Qi to return to zero (low) while the output of the second flip-flop rises to one (Q2 = 1). Notice how the flip-flop responds only to the falling edge of an input pulse. We now have an electrical representation of the binary number two or "10." The third pulse comes in and sets Qi high. Now we have the binary number for three, "11," in which Qi = 1 and Q2 = 1. The fourth pulse sets the first and second flip-flops back to zero and the third to 1. This gives us the binary number four, "100." If you continue, you will see that four two changes. Every time a trigger causes one of the flip-flop outputs to go up only: in other words, one change. But a complete pulse consists of two changes of state. Therefore, in order for a single up and down pulse to emerge from the Q (or Q), output there must have been two complete trigger pulses. In summary, twice as many pulses go into the flip-flop as is pulse occurs, in the first flip-flop setting The other three in of one flip-flop is fed into the trigger input of another. Since the second flip-flop counters can count up to 15, then they return to receives pulses from the first flip-flop, its output zero on the 16th pulse. will be one pulse out for every 4 original trigger pulses, three flip-flops can count to and so 8, recognize specific not powers of two? Number recognition is done with logic circuits that examine all the Q outputs and look for specific combinations of highs and lows. For example, to count to eleven the first flip-flop will be high meaning a "one." The second flip-flop will be high meaning that there is a "two" at the moment. The third flip-flop will be low meaning that there is no "four" at present. The fourth flip-flop will be high meaning that there is an "eight." If numbers If we are counting pulses that represent numbers, then zero is a legitimate number and must be used to represent one of the 16 possible states of 4 through the flip-flops. follow Let's Fig. 9-4 in flip-flops the pulses and see how are counted and recognized. We start with the number zero by setting all four flip-flops numbers to zero (Q how can counters So, four to 16, on. = 0). The first trigger pulse comes in o like eleven that are +v cc RL1 R L2 R2 R1 • ii vVW AAAA- « ii — H(C2 Cl S SET SET INPUT RESET INPUT n /777 SET > RESET RESET > Fig. 9-6 Set and Reset triggers for a bistable multivibrator. l 16 we add up 1 plus two plus the number of input pulses eight, so we get eleven, far. Circuits like Fig. 9-4 are used in practically tuned aircraft radios to set the all digitally quency channel. A fre- crystal controlled oscillator provides standard pulses which are counted as a frequency standard. The digital tuning knob on the front panel sets up the logic circuit to recognize when the proper count is reached for vout the desired receiving or transmitting frequency, just as is we did for the number eleven. This number compared with pulses derived from the actual operating frequency of the receiver or transmitter. If they are not equal, a feedback circuit adjusts the transmitter or receiver frequency up or VOLTS do match. More details about counters are better left to your course on digital down VBASE2 = ZERO until they electronics. VOUT THE SMALLER Rl 2 IS, CHARGING THE MORE VERTICALLY THROUGH R|_ 2 THIS VOLTAGE WILL RISE. Ci - k Bistable Flip-Flops as Memories D. Vcc- The flip-flop can serve as a memory by remembering what state the output Q is in. By setting Q high or low and leaving it that way, the o Q can be read back later. It is something tying a string around your finger. The string itself doesn't remember anything, but hopefully the presence of the string on your finger records the fact that there was something that you O io LU < I_J o > state of a. like o a wanted to remember. A single flip-flop doesn't remember very much, but if you have thousands IF IT BASE CONDUCTING, WOULD CONTINUE 01 TURNS 02 TURNS TO CHARGE UP TO +Vcc VOLTS. 0N 0N VBASE2 C2 be stored in the form of binary numbers begins to be significant. T Referring to our counter example in Fig. 9-4, suppose that after eleven input pulses, there were no more pulses after that. Assuming that the power supply doesn't fail during the following months, the number eleven will remain "stored" in those counters in the form of the binary VOLTAGE C2 DISCHARGING CURRENT ENTERS C2 THROUGH R2- the flip-flop useful as a able to set Q R2 high or low trigger pulses in Fig. 9-3 Fig. Q each time, they don't set it to a particular state. Controlling the state of Q can be done by separating the two diodes into separate When These trigger inputs are called set and reset. a positive pulse comes into the set trigger, if it is An RL- astable multivibrator and voltage comes in on the reset line, Q goes high, which means that Q goes low. If Q was already low, then it stays there. If you can remember that set makes Q a one, you will have When goes high or stays high 9-6 IS TRANSISTOR TURNS ON. waveforms trigger lines. Q CURRENT FLOWS INTO BASE AND VOLTAGE, V C c- make IS EXCEEDED, SO TOWARD SUPPLY memory, we need to be whenever we want. The just change I BASE P-N JUNCTION 1101. In order to WERE NOT FOR THE of flip-flops, the quantity of information that can number Q2 FULL OFF Q2 FULL ON UJ _l —I a pulse the terminology conquered. already high. 147 E. A stable We haven't still vibrator can explained oscillate. how a Self-oscillating the moment The resistor the base of Q2 is out of the circuit. R2 is also connected to the negative end of C2 and positive current is free to flow from V cc down through R2 to charge the right end of C2 "up" to +V CC Looking at it another way, C2 Multivibrators multimulti- vibrators are called free-running multivibrators . discharging toward having zero volts across it. Then later, if it could, it would continue to charge so that the right end of C2 would eventually reach +V CC However, before the right side of C2 ever reaches +V CC it will exceed the silicon P-N junction voltage, +0.6 volts, and will begin conducting current into the base of Q2. This turns on the transistor Q 2 and completes the discharging of C2. At this point, the right end of C2 is at about 0.6 volts and the left end is also at roughly +0.6 volts. The voltage across C2 is now about The word "astable" means not stable and can be remembered as ain 't stable. They can be built several ways but the most common circuit as shown in Fig. 9-6. or astable multivibrators. is first . , Each biased partly on by the resistors Ri and R2. However, these resistors are usually large so that the current through them is small and the majority of the current that turns the transistors full on or full off comes from the capacitors. In fact, the purpose of these resistors is to discharge the capacitors and determine the rate at which the multivibrator flips back and transistor is zero volts. The period of time that Q2 remained turned was determined by how quickly C2 charged (or discharged if you prefer) to 0.6 volts on the base of Q2. "Quick" is just a relative word, of course, and if C2 and R2 have large values, this length of time can be several seconds. As soon as Q2 turns on, Ci is now jammed "below" zero volts and Ql forth. Understanding the details of this circuit is not easy, so don't be surprised if you have to go through this more than once. off by assuming that the transistor turned full on. Then we will follow the events on the voltage waveforms as time passes from left to right. Individual transistors are often labeled with "Q" followed by a number. This is easily confused with outputs of multivibrators which are called "Q" with a subscript or no number at all. To avoid this proLet's start on the right, Q2, is blem, we will multivibrator on the call turned off. Ci then begins to discharge until its voltage rises high enough to turn on Q lf just as is we described Now, let's look at how C2 recharges while Q2 is turned on. Because the base of Q2 is conducting, the right side of C2 is clamped to 0.6 volts and can't be anything different until Qo turns off again. As soon as Qi turns off, the left end of Co will began to charge up toward +V CC The left end of C2 is charging through the resistor Rlj the output of this free-running "V ou t." We begin with the tran- turned on, so the voltage from collector to emitter is very- low, roughly 0.6 volts. The opposite transistor, Qi, is turned off sistor right, Q2, . which means that the collector of Q will have a high voltage, V cc So at this point, the left side of C2 is high and the right side is low. Therefore at this time C2 will be charged up to a large voltage . t The load we rate of charging. In fact, the faster the rate of re- charging of the two capacitors, the more the collector waveforms of both Qi and Qj will resemble square waves. will get to shortly, Qi abruptly switches full on. When this happens, C2 can't discharge instantly, so the positive end of C2 on the collector of Qi is now suddenly at the collector saturation voltage: that is, about 0.6 volts or nearly zero. The negative end of C2 is now pushed down below ground a voltage "distance'" nearly equal to V cc resistors are usually very . with the left side positive. To be exact, this voltage will be V cc — 0.6 volts. for reasons that much smaller than Ri and R2, so the capacitor charges very quickly to V cc And of course, the collector voltage of Q\ will rise at a rate determined by the . Now, for C2. Because each transistor in the multivibrator its ON time determined by a separate capacitor, the sizes of the capacitors can be different so that the on times of the two transistors will differ. Depending on which transistor collector is used as an output, this can give a series of very has . The negative end of Cj is connected to the P semiconductor base of the N-P-N transistor () Negative to P does not conduct, so current cannot flow from the capacitor into the base of Q 2 For short positive pulses with long off times or a series of very long positive pulses with very short off times. . US F. Synchronized Astable Multivibrators There designs. We have already seen how a bistable flip-flop can be made to change states by an external trigger pulse. When widely used (Fig. set or reset trigger pulses are ap- plied to an astable flip-flop, it can make the 9-7). cuit frequency speed up to match the trigger is slower than the frequency of the pulses, the trigger pulses will make the multivibrator change state early and will synchronize the flip-flop to the trigger pulses. One feature of the synchronized astable flip-flop is that if the astable frequency is very close to the trigger pulse frequency, you don't need to have a synchronizing pulse on every cycle. An occasional set or reset trigger pulse can adjust the oscillator to keep it closely in step with the master pulse. We shall describe a typical application for synchronization shortly. flop The astable multivibrator is a simple way to generate a square voltage wave. However, FET and bipolar integrated circuits are available in and "timers." All one type of astable multidiscrete parts which is still This multivibrator is a power conversion cirwhich converts DC to AC. The circuit uses the two halves of the primary winding of a transformer in place of load resistors. The collector-to-base coupling is done with a parallel RC pair which perform exactly the same function as those shown in the bistable amplifier flip-flop in Fig. 9-3. But here the timing element is not the capacitors, it is the inductance of the two halves of the primary windings. In the capacitor controlled multivibrator (Fig. 9-6) the discharging capacitor determined when the off transistor would turn on. In the inductance timed circuit the current stored in the inductor bleeds away until there is insufficient base current to keep the on transistor turned on. When the on transistor comes out of saturation, the inductance between its collector and the power supply is fully charged and ready to bleed current into the opposite transistor base to turn it on and keep it on for a while. flip- pulses. If the astable natural frequency flip-flops, logic circuits is made from vibrator of these can easily be wired to generate square waves with less cost, fewer parts, or less current drain. Consequently, you rarely see an astable multivibrator built with individual parts in the most recent Whenever current is changing in either half of the primary winding, an AC voltage, the output, will appear on the secondary. Multivibrators like this can be used to generate an AC voltage from a low DC voltage. For example, this could be an AC converter which is plugged into the 12 volt DC cigarette lighter of your car. An electric shaver designed for 120 volts AC can be connected across the secondary winding and you can shave while driving to work. TRANSFORMER PRIMARY WINDINGS ESTABLISH THE OSCILLATION FREQUENCY BY "STORING" CURRENT TO KEEP THE OPPOSITE TRANSISTOR TURNED ON.120 VOLTS AC An electric shaver is usually not very fussy about whether the AC frequency is 50 cycles or 100 cycles per second. However a record player usually depends on the frequency of the AC to determine how fast the records will turn. If the frequency is 100 cycles, baritone singers will sound like Mickey Mouse. If the frequency is much below 60 cycles, the recording will sound like prehistoric monsters groaning in the swamp. The problem is even more severe because the resistance of the load, that is, the record player, will be reflected back through the transformer to become part of the LR circuit that is determining the frequency. So the frequency will depend on exactly o Fig. used 9-7 to how much current the load draws. - One A transformer multivibrator can be convert low voltage DC to high voltage solution to this is to design the multi- vibrator to run at a relatively low frequency, say 40 cycles. Then a separate timer circuit AC. 149 is added VOUT TRIGGER VOUT PULSE TURNS Q1 Q2 OFF ON AND Q2 RETURNS TO ON Q2 0FF THIS INTERVAL IS DETERMINED BY C1 AND R1 HELPS INSURE THAT OFF Q1 RESTS Fig. 9-8 which will A monostable multivibrator Monostable multivibrators, also known as one shot multivibrators, are usually designed so that the output is low when the circuit is inactive. Then when the trigger pulse comes in, the output voltage jumps up for a length of time determined by the charging capacitor, Ci, and its resistor, R lt as seen in Fig. 9-8. At the end of this period the output falls again and waits for the next trigger produce frequency stable timing pulses no to synchronize the multivibrator to 60 cycles, matter what the load make may be. The pulses will at 60 cycles even though the multivibrator astable fre- the multivibrator trigger "early'* quency is inclined to wander between 30 and 50 cycles. pulse. In another application, the AC voltage on the secondary can be rectified and filtered to produce DC at a much higher or lower voltage with little loss of power. These are called DC to DC inverters. Simple inverters like this one are found in the capacitive ignition discharge systems which are discussed in Section five. The voltage desired on the secondary must be designed into the circuit by the choice of winding ratios on the There are thousands of applications one you are building an automatic machine which packs one hundred oranges in each shipping box. The oranges roll down a chute The oranges much too fast for over a switch which makes a voltage pulse every time an orange goes by. A series of flip-flop counters counts the oranges and a logic circuit recognizes when 100 oranges have entered the box. When the count of 100 is reached, the logic circuit delivers a short pulse signifying "100.*" So far, this is just like the counter illustrated in Fig. 9-4. This pulse is supthe eye to count. transformer. G. for shot multivibrators, but their usefulness is not obvious until you need one. For example, suppose Monostable Multivibrators Half of an astable multivibrator and half of a combined to form a monostable multivibrator. The purpose of this circuit is to make voltage pulses longer. If you feed in a very short trigger pulse, say one millisecond long, the monostable multivibrator will deliver one long pulse, say 10 or 1000 milliseconds duration. bistable multivibrator can be roll posed to activate a large solenoid which releases a trap door and redirects the stream of oranges to an empty box. Unfortunately, the solenoid has quite a lot of inductance and physical inertia due to its mass. Before it can respond to the pulse, the 101st orange goes by and changes the count to 101. The logic circuit which recognizes the 100 150 .^^SROU. TRAP DOORS SWITCH MAKES A VOLTAGE PULSE FOR EACH ORANGE THAT ROLLS OVER IT V|N 1's Fig. 9-9 Orange packing machine illustrates use of flip-flops and one-shot multivibrator. Schmitt triggers, zero crossing detectors, and comparators are not oscillators, but they are frequently used with oscillators to make square waves out of sine waves. Digital circuits including computers are usually regulated with a frequency-stable square wave called a clock pulse. count returns to zero before the trap door is able to open. As seen in Fig. 9-9, a one shot is used to make the 100 count pulse last long enough for the solenoid to respond. H. counting Schmitt Triggers, Zero Crossing Detectors, and Comparators The clock 151 is a sort of electronic drill sergeant HIGH GAIN AMPLIFIER CLIPS SINE WAVE OFF AT VOUT V|N Vcc i SINE WAVE INPUT VlN 1/2 > VOUT OF CLASS B AMPLIFIEF SQUARE" WAVE OUTPUT /7T7 Fig. 9-10 A /777 high gain amplifier serving as a zero crossing detector. which counts cadence and keeps the various parts circuit takes drastic action of the circuit synchronized so that they don't in- on or and turns either full compares one voltage to another and switches full on or full off is called a comparator. In general, comparators can compare a voltage to any voltage within the range of the power supply. So the zero crossing detector is with each other. The usual way to genpulses is to start with a crystal oscillator which produces sine waves. It might seem more efficient to begin with a relaxation oscillator or a multivibrator which produces square waves directly. However, these circuits usually do not produce a stable enough frequency terfere erate clock full off. A circuit that just one special kind of comparator. comparator so that By wiring a compares an input voltage the comparator becomes a zero it to zero volts, crossing detector. standard. Crystal controlled digital watches, for exam- can improve the perfortwo ways. First, it increases the apparent gain of the amplifier and makes the square wave voltage changes more rapid or vertical. In other words, it makes the square waves more square. The second advantage of positive feedback is that it makes the conversion of sine waves to a square wave immune to high frequency noise that may be riding on the sine wave. A circuit built like the zero crossing detector but with positive feedback is ca'led a Schmitt trigger, named after the guy who first built one with vacuum tubes. Positive feedback mance use a crystal oscillator for a time standard. After the sine wave has been made square, a long series of flip-flop counters divides the square wave down to second, minute, and hour intervals. These numbers are recognized and displayed by ple, clock pulse controlled logic circuits. A sine wave can be converted into a good square wave by passing it through a very high gain amplifier. Let's assume that the amplifier is biased like class B so that only the positive half of wave is amplified. The amplifier has so gain that, whenever the sine wave signal goes the slightest bit positive, above the zero point, the amplifier will produce a high voltage. As soon as the sine wave signal goes slightly the sine of a zero crossing detector in much It is fairly easy to understand how positive feedback can increase the gain of an amplifier. Suppose the amplifier is a class A non-inverting and the quiescent point places the below the zero point, the transistor will turn full on causing the output to fall to the lowest voltage on the load line. An amplifier like this is called a amplifier zero crossing detector. put signal rises a large distance above the output zero point. This is fed back directly to the input In effect, this circuit amplifier half turned on. As soon as the input signal rises slightly above the zero point, the out- is comparing the sine wave to zero. Every time the sine wave departs from zero the slightest hit. the via the resistor L52 Rf shown in Fig. 9-11. The feed- SQUARE WAVES MORE SQUARE BECAUSE OF INCREASED GAIN. SQUARE WAVE DELAYED IN PHASE NOTE SWITCHING POINTS ABOVE AND BELOW ZERO Fig. 9-11 back The Schmitt trigger, a comparator with hysteresis. the sine wave returns to the zero point from below, the positive feedback will hold the output promptly amplified until the output goes power supply will allow. The reverse is true for the below zero point, the output will be considerably below zero and feedback will make the output go lower still. is as high as the low until the input sine wave above the zero point. WHEN INPUT SCHMITT TRIGGER SIGNAL GOES DOWN, Vqut OUTPUT FOLLOWS -THIS PATH Positive feedback introduces hysteresis into The word "hysteresis" means that something is lagging or falling short of some expected level. In electronics it means the circuit characteristic. that the behavior of a circuit is late in responding HIGH STATE o > sometimes magnetic flux in a transformer core. In the Schmitt trigger, "hysteresis" describes irj the partial latching effect that the positive feed- o -WHEN INPUT SIGNAL GOES UP, OUTPUT FOLLOWS THIS o. tz> back causes. In the multivibrator we have already seen the result of what a great deal of positive feedback can do. Once the output leaves dead center, it quickly moves to either of its two stable states and stays there permanently. PATH. LOW STATE V|N J In the Schmitt trigger much less positive feedback is used so that when the input sine wave goes back below the zero point, the circuit is capable of responding by switching back to the other extreme. The important point here is that the switching point is no longer zero volts. When wave returns TRANSFER CHARACTERISTIC < to rising or falling values of voltage, current, or the input sine rises considerably INPUT VOLTAGE 1 SWITCHING -SWITCHING THRESHOLD THRESHOLD GOING DOWN Fig. 9-12 •ZERO" POINT GOING UP Schmitt trigger hysteresis Because of the hysteresis, the Schmitt trigger isn't really a zero crossing detector because it doesn't switch at exactly zero volts. The average of the two switching thresholds is still zero so that if a sine wave is fed into it, the output will look like that of a zero crossing detector, but will be delayed in phase by several degrees. to zero, the positive feedback will still hold the Schmitt trigger switched as if the input were still above the zero point. The Schmitt trigger will not switch to a low voltage output again until the input sine wave goes considerably below the zero point. Before the trigger can switch, the input must exceed the effect of the positive feedback which is holding the output at the opposite extreme. This is the lag or hysteresis. After the sine wave has gone below zero and switched, it will again have hysteresis or a lag when the sine wave comes back up. When To explain how the Schmitt trigger ignores high frequency noise riding on a sine wave, let's feed a noisy sine wave into a zero crossing detector and a Schmitt trigger and compare the difference. 153 NOISE CAUSES EXTRA PULSES NOISE RIDING ON SINE WAVE THRESHOLD rrn zero CROSSING DETECTOR VOUT PHASE SHIFT DELAYS PULSES THRESHOLD I L SCHMITT TRIGGER ONLY RESPONDS TO FIRST TIME SIGNAL GOES PAST THRESHOLD •PHASE SHIFT V t VlN EXCEEDS VlN SCHMITT TRIGGER EXCEEDS + THRESHOLD THRESHOLD FIRST TIME Fig. 9-13 Because Comparison of zero crossing detector and Schmitt of the noise spikes on the sine wave, /. FIRST TIME trigger. Unijunction Transistor Oscillators the zero crossing detector responds several times wave per sine cycle. Instead of the big sine Yes, there is another kind of transistor we haven't mentioned. The unijunction transistor is a device that resembles the junction FET in its construction and circuit symbol. Its volt-ampere characteristic has roughly the same shape as that of a tunnel diode, including the negative resistance region. This makes it useful as an oscillator. They do not work very well at high frequencies and are not as reliable as other transistors. For these reasons there is little to recommend them over other ways of building oscillators. Still, you may occasionally find one in the depths of avionics instruments, so we did not want you to be surprised. wave crossing the zero point just twice each complete sine wave cycle, the signal may cross four or more times because of the noise. The higher the noise spikes, the more often they are liable to cross. These extra crossings result in narrow, extra output pulses which preceed and follow the desired large pulses. When the Schmitt trigger is given the same does not switch until the signal rises above a relatively high threshold. Not only that, signal, it it will ignore any further crossing changes until the signal goes below a relatively low, below zero threshold. Any noise on these signals will be ig- A unijunction transistor (UJT) oscillator is seen in Fig. 9-15. This circuit happens to be a metronome for piano teachers, but practically all UJT oscillators use the same circuit. In pulse circuits frequently the loudspeaker is replaced with nored unless the noise amplitude is so high that noise peaks extend from the upper threshold all the way down to the lower threshold. Notice that the Schmitt trigger is a kind of filter that ignores low amplitude noise, but responds to the biggest signal as if the small signals weren't present. an inductor or load resistor. The capacitor, C, 154 is + V CC VOUT V|N^- * BASIC AMPLIFIER SYMOBL (NON-INVERTING) lb INPUT B1 Ve- SIGNAL C N-TYPEUJT VOLTAGE > > VOUT LL — -? ^ COMPARISON VOLTAGE COMPARATOR SYMBOL CAN ALSO BE OPERATIONAL INPUT rrn s\ss&' | L-vj TOCK! r °c Kf LOUDSPEAKER SERVES AS LOAD AMPLIFIER SIGNAL CAPACITOR CHARGES CAPACITOR DISCHARGES , THROUGH TRANSISTOR VOLTAGE CO. GROUND OQ o yj tu io Q. z 5 o S S:<Otl2 3 -> $ a. to I IS ZERO VOLTAGE /777 COMPARATOR WIRED AS ZERO t CROSSING DETECTOR CURRENT PULSES WHICH OCCUR EVERYTIME INPUT CAPACITOR DISCHARGES. PULSES THROUGH LOUDSPEAKER lb MAKE NOISE. /777 ZERO CROSSING DETECTOR WIRED AS A SCHMITT TRIGGER NOTE HYSTERESIS DRAWING ON AMPLIFIER SYMBOL Fig. 9-15 neon or P-N-P-N relaxation "> J. SYMBOL FOR SCHMITT TRIGGER Fig. 9-14 Symbols and Schmitt for amplifiers, comparators triggers. resistor, R. When the discharges the capacitor suddenly and causes a large current pulse to flow from the + supply down through base 1 to base 2 and fires, oscillator. Integrated Timing Circuits We now enter the wonderful world of integrated circuits. The NE555 timer integrated circuit (IC) contains circuits already discussed in this section and it is used as a universal oscillator which can generate square waves and sawtooth waves (oscilloscope sweep waveforms) and can be used as a monostable multivibrator. It can also detect when a pulse is missing from a series of equally spaced pulses. Some push button tele- charged by the variable UJT unijunction transistor oscillator pulses give the metronome that "tock-tock-tock" sound. To summarize, it works very much like a VOUT VlN^ A it through the loudspeaker to ground. These current 155 phones use this "timer" IC to generate the musical tones you hear when the buttons are pressed to "dial" a number. This IC has so many uses we could spend a section on it. One of the advantages that makes ICs won- that most of the nitty-gritty details like diodes, base resistors, and biasing are all hidden away in the silicon chip. To repair a circuit which uses "ICs," all you need to do is make sure that derful is each IC is doing the overall job assigned to it. example, suppose your timing circuit is supposed to make square waves and it doesn't. You check to be sure that the IC has all the correct voltages and inputs that are supposed to make it perform. If it has everything it needs, but refuses to work, you remove the old one and replace it. There is no way to repair defective ICs, which is probably a blessing. If For you you study the will notice circuit diagram some unfamiliar for the timer transistor sym- At the upper left a transistor is drawn with base connected backwards. A transistor at the upper right has two emitters and two collectors. When ICs are printed on a silicon chip, transistors are often built in unusual configurations or have parts doubled. Fortunately, you don't need to understand IC technology in detail unless you are actually building ICs. It is enough to understand that the block of circuitry which contains the double-emitter transistor is a bistable bols. its Fig. 9-16 package NE555 IC flip-flop two separate timer studied. integrated timer circuit. The on the right contains and behaves like the flip-flop you circuits. o + v cc PIN 8 il \ > — THRESHOLD}—• CONTROL VOLTAGE \ / '^ 4 —/\ RESET OR IKIUI INHIBIT 5 * RESET BISTABLE OUTPUT } FLIP- SET FLOP PIN 2 TRIGGER^) —•— <CAPACITOR U 5k PIN 1 rrn rrn Fig. 9-18 Block diagram of the 156 NE555 timer DISCHARGE 157 the timer RESET IS HELD HIGH TO KEEP IT FROM INTERFERING more is much more reliable precise, more versatile, and costs about 39c retail. This is less than the price of a unijunction transistor, you can find one Like the UJT, the timer 2 TRIGGER INPUT ^HELPSTO X STABILIZE /TT7 UPPER VOLTAGE. 2/3 CAPACITOR VOLTAGE V cc In Fig. 9-19 the timer A is wired as a square R a + Rb. charges the capacitor, C. When the high voltage threshold (2 3 of V cc is reached, the flip-flop switches and the capacitor discharge transistor inside the IC turns on, it is like a switch that shorts pin 7 on the IC to ground. If R D is very large (high resistance) then the voltage pulse on the output stays low a long time because the capacitor is discharged slowly. But if Rb is very small, perhaps even zero ohms, then the output pulse will be very short because the capacitor will discharge quickly. In this case the timer will be operating just like the UJT oscillator above. wave R a + Rb CAPACITOR DISCHARGES or pulse generator. resistance, ) THROUGH Rb A VOUT (PIN sensitive to high application. CAPACITOR CHARGES ^THROUGH is and low voltage stages that cause it to switch. These two voltage levels are detected by the two comparators. These comparators go full on or full off when the input voltage rises above or below the two switching thresholds. In the circuit diagram you will see three 5K resistors in series going from V cc to ground. The high and low voltage thresholds are established by the high and low end of the center 5K resistor. The outputs of the comparators go to the set and reset triggers and cause the flip-flop to change state when these two voltage thresholds are crossed. Because of the complexity, it has a number of inputs and outputs which are not needed for every TT7 "-pX. if for sale. 3) By not connecting the "trigger'* input, pin 2, to the capacitor, C, the timer will not retrigger and the oscillator will not be stable. Instead becomes a monostable multivibrator. A short itself it Astable square wave oscillator Fig. 9-19 The block diagram veals that voltage pulse into the trigger input causes the timer to make one long pulse on the output. The length of the pulse is determined by the size of the resistance charging the capacitor. C. circuit. of the timing circuit re- QUESTIONS: consists of a bistable flip-flop, two comparator amplifiers and a few more transistors it for discharging the the timer together timing capacitor, inhibiting 1. and amplifying the output \i has 23 transistors, two diodes, and 15 it For complexity, the function of is really not much different than a single unijunction transistor. However, resistors. all What are bistable (non-oscillating) multivibrators used for? (reset), its 2. the circuit as a whole In what form flip-flop is memory the circuit power 1 58 information stored cell? is in a What happens when shut off? 3. The trigger pulse input circuit in Fig. 9-3 12. always makes the flip-flop change state. How can this be since the trigger pulse is applied to both transistors equally? 13. What is a clock pulse? Why are they often derived from sine wave oscillators? What 4. In the flip-flop counter circuit shown in what would be the states of the flip-flops during the 13th pulse? What 14. would be the states 15. Fig. 9-4, of the flip-flops just In a typical astable multivibrator (Fig. 9-6) 16. the bases are biased partly on by the resistors R\ and R2. Why aren't these resistors connected to ground so that the transistors can be sure of turning If the purpose of the astable oscillator 17. is a zero crossing detector improved is accurate to say that a Schmitt trigger Is it is a kind of zero crossing detector? What hysteresis? is Is it possible for a too to generate "square" waves, what must be true about the relative sizes of the load resistances and the capacitor charging re- 19. R\ and R2. sistances, How a comparator? is off. 18. 6. What is by positive feedback? after the 13th pulse? 5. What is a zero crossing detector? response to a zero crossing? its much Schmitt trigger to have positive feedback? Why does a Schmitt trigger circuit symbol have an "S"-like symbol drawn on it? What is this symbol and what is its significance? 7. If an astable multivibrator by a set trigger pulse, is synchronized what happens if 20. the 8. 21. What are some uses for the integrated circuit? Suppose an astable multivibrator (like Fig. used as a power inverter to convert 12 volts DC to 6 volts DC. The transformer 22. Why is wound 6 so that the secondary volts RMS. This is AC voltage 23. What What two to all one monostable multi- vibrator? 11. like the timer preferred over a nice simple repairing circuits containing ICs, it necessary and important to Suppose the orange packing machine in Fig. 9-9 were expanded so that it could load 10,000 oranges in boxes of 100 in a truck. How many more flip-flops must be added to the present string of flip-flops to enable the circuit to count up to 10,000? 159 know the details of the circuitry inside the tegrated circuit? similar circuits are usually com- build When why is isn't it are the What is the basic purpose of a monostable multivibrator? bined circuit timer usually enough to know the block diagram of the integrated circuit? Why advantages of the zener diode circuit? 10. complicated NE555 rectified filtered to of the multivibrator circuit? a is NE555 UJT? and produce 6 volts DC. Another way to convert 12 volts DC to 6 volts DC would be to use a 6 volt zener diode and a dropping resistor. What is the advantage is what a unijunction transistor and is flop? 9-7) is 9. What are they used for? slower rate than the natural, astable frequency of the fliptrigger pulses occur at a in- SECTION X Operational Amplifiers A. Introduction 3. Perfect linearity Operational Amplifiers, or op-amps for short, 4. Complete input-output isolation are a high gain amplifier circuit that attempts to They achieve the perfect amplifier. "operational" because they are called 5. may Infinitely fast switching be wired to perform mathematical operations on voltages and currents. For example, the addition of voltages means literally adding 3 volts to 2 volts to get 5 volts. Circuits based on op-amps may be used for subtraction, division, multiplication, taking Operational logarithms, and solving differential equations. mance 6. are used. any application in They can be wired Perfect current source or voltage source output. amplifiers can exceed the perfor- of single transistor amplifiers in every aspect except the infinitely fast switching and unlimited slew rate. Operational amplifiers can also be used for practically which transistors Operational amplifier voltage gain is not inbut is extremely high, 100,000 or more. Negative feedback through resistors is used to adjust the gain to any level desired. Different kinds of components in the feedback path such as diodes and capacitors can produce the unusual as high gain non- finite, inverting amplifiers or inverting amplifiers of almost any voltage or current gain desired. They can be used in sine wave oscillators, multivibrators, Schmitt triggers, frequency filters, and much more. Their primary limitation is that they generally lack high frequency response. Today, 1980, they are rarely used above about 2 MHz. Nearly all op-amps today are in the form of integrated circuits and the cost per amplifier can be as little as ten cents each. Entire books are written on particular uses for operational amplifiers, so it is hard to do them justice in two sections. mathematical operations. C. Differential Amplifiers Operational amplifiers are very high gain, sophisticated differential amplifiers, so we explain operational amplifiers without first ex- plaining differential amplifiers. the differential amplifier B. The Op-Amp— The Ideal Amplifier In Section 4 ideal amplifier. we introduced We and unlimited slew rate. is can't The purpose of to amplify the dif- ference between two signals. For example, if one input signal is 10 volts and the second input signal is 6 volts, the signal we wish to amplify is the 4 volt difference between the two. the idea of an listed the following attributes as being ideal for an amplifier. 1. A 2. Unlimited gain Isn't amplifying the difference between voltages like amplifying the hole in a donut? Who perfect switch cares, nals 161 you ask! The difference between two is important because not all sig- important You might imagine voltages are referenced to ground. For instance, suppose you want to amplify the voltage across one of the capacitors in an astable multivibrator that a differential am- that could handle 10,000 volt inputs and only look at the small difference voltage would be plifier hard to build. You're right, as in Fig. 9-6 in the last Section. Neither of the voltages at the ends of the capacitor are the A If you have the chance to build such a multivibrator in the lab, you should try to look at the capacitor voltage with an oscilloscope. You will find this is impossible unless you have a two channel oscilloscope that can be set up as a differential amplifier. voltage across the capacitor. it is difficult! is common to both input common mode voltage. If this large voltage that signals called a is common mode voltage is large, real differential amplifiers have a hard time ignoring it. This large voltage will be partly amplified along with the voltage difference. Therefore differential am- plifiers Adiff- VlNi>- that have two voltage gains, the one we want, and the voltage gain that we don't want amplifying the is ^com- The usual way -> common mode voltage, to rate the quality of a dif- by its common mode rejecnumber you get when you divide the differential voltage gain by the comferential amplifier is V1N2V = AV V (V|N-| tion ratio. This is the - V|N2> DIFFERENCE VOLTAGE = Vi^ - V1N2 mon mode Adiff COMMON MODE VOLTAGE IS THE ARITHMETIC AVERAGE OF THE TWO INPUT SIGNALS THE VCOM Fig. 10-1 = 1/2 (V1N1 Differential amplifier Common Mode The emitter coupled symbols and pro- the most = A c om . (Vin) amplify the ference between two input voltages, Vjnl Vin2- Therefore, difference amplifier dif- and emitter-to-ground voltages. If either collector V = Av <V in i - V in2 taken as the output, the collector voltage ) ly A is common kind of differential amplifier. Referring to Fig. 10-2, the emitter coupled differential amplifier is made from two common emitter amplifiers that share the same emitter resistor. Currents from both emitters flow down through the emitter resistor. Therefore, the voltage across the emitter resistor goes up when either transistor begins to turn on. If two large input voltages are applied to the bases of both transistors, the emitter resistor voltage will try to turn both transistors off again by raising the As you know, voltage amplifiers have voltage gain which means that the output is the input voltage times the amplifier voltage gain, A v Differential voltage amplifiers Rejection Ratio + V|N2> perties V = Av voltage gain. change substantially when there is is will on- a big dif- ference between the two input voltages. would ignore the two input voltages and just look at the difference between the voltages. Suppose the amplifier had a voltage gain of 2. Therefore, if perfect differential amplifier The bigger the emitter sizes of the V in = 10andV in2 = i V And \ ',, And 2 (10 - = 10 ° and 2 (100 - 96) if Vin] = = 6. = 6) Vini if = = 2 (4) v in2 = = 8 volts. 8 volts. = it is is, the more at cancelling the . 96, then 10.000 volts and Vj n 9 resistor response to large common mode voltages. The higher the emitter resistance, the more dramatic the change of the voltage will be between the emitters and the below ground power supply, Y ee However, if the emitter resistance is too big, even the smallest emitter current will cause a voltage drop across the resistor that is as big as the power supply voltage. This extreme case would make any change in the output voltage impossible. effective 9,996 To volts. get around this problem, practical dif- ferential amplifiers replace the emitter resistor V = 2 (10.000 - 9,9961 = with a network of interconnected transistors and 8 volts 162 diodes that is a constant current source. An amplifier on the positive input, the output will not be inverted. A voltage gain of one is shown, but the gain could be any number. In Fig. 10-3 the ex- ample of a complex current source can be found in the operational amplifier in Fig. 10-4. This circuit can be thought of as an automatic variable emitter resistor that varies its resistance in response to the size of the common mode signal on the non-inverting input not inverted is or phase-shifted in the output. voltage. Large common mode voltages cause the resistance to become very high. Small common mode voltages If the inputs in Fig. 10-3 were reversed so wave were fed into the inverting, that the sine cause the resistance to stay very low. Using a current source instead of an emitter resistor, the common mode rejection ratio is usually 1000 or minus input, the signal lector of the same would be taken transistor. This off the col- means that the sine wave on the output will be 180° out of phase with the input. Whether the signal is inverted or not at the output depends on which of the two higher. ABOVE GROUND transistor collectors the output POWER SUPPLY REFERENCED TO GROUND Sometimes differential taken from. is amplifiers are built so that the output signal can be taken off either or both collectors. This configuration is called differential outputs. RLi «L 2 E. VOUT -> * - INPUT / + INPUT <- VlNi V|N2 / A POSITIVE INPUT A POSITIVE INPUT ON THIS ON THIS SIDE MAKES VOUT GO DOWN. MAKES VOUT GO UP SIDE ei "e2 -V ee Symmetrical emitter usually a output stage receive inputs of the proper polarity and correct DC average voltage levels. All the internal amplifier stages of an op-amp are direct coupled. There are no energy storage coupled components like capacitors or inductors in between the stages which would decrease the gain dif- ference amplifier at high or low frequencies. It D. is complementary class B stage. The class B stage is driven by a DC level translator network which insures that the two transistors in the class B BELOW GROUND POWER SUPPLY REFERENCED TO GROUND 10-2 As we have said, operational amplifiers have very high gain— the more gain the better. To achieve this high gain, the transistors in Fig. 10-2 can be replaced with Darlington transistors. Usually two or more differential amplifiers are put in series to increase the gain still further. This is done using the two differential outputs to drive the differential inputs of the next stage. The last amplifier of the operational amplifier BOTH EMITTER CURRENTS ADD TOGETHER ACROSS R e RAISING THE EMITTER VOLTAGE OF BOTH TRANSISTORS. Fig. Operational Amplifier Design Inverting and Non-inverting Inputs is difficult to build capacitors into an integrated circuit and extremely difficult to make inductors. Therefore, in- Notice in Fig. 10-2 that the two inputs are and minus. This convention means that when a signal on the positive input goes positive with respect to the signal on the negative tegrated circuits are designed to avoid using these components, even if it means using a dozen input, the output will also From an applications point of view, the advantage of direct coupling is that the op-amp is a DC amplifier and will amplify DC voltage levels. For example, let's say that we shunt an operational amplifier with negative feedback so that it has a voltage gain of two. We use it to "amplify'' a 1.5 volt flashlight battery so that the output is 3 volts DC. Because the battery voltage does not labeled plus transistors to avoid using one capacitor. go positive. In other words, the polarity of the signal on the positive input is not inverted. Suppose that the negative input of a differential amplifier is connected to a constant DC voltage, say +5 volts DC, and suppose the positive input is connected to a sine wave signal which has its zero point established at +5 volts. Since the sine wave is applied to the 163 A SINE WAVE ON THE NON-INVERTING INPUT YIELDS A NON-INVERTED OUTPUT. NOTICE THAT A +5 VOLT DC SIGNAL IS COMMON TO BOTH INPUTS SO IT IS CANCELLED IN THE OUTPUT. Fig. 10-3 A signal on the non-inverting input is not inverted in the output. square wave signal at the output was proportional to the DC level of the input DC signal. The chopping consisted of turning the input to the first stage on and off rapidly. After the square wave had been greatly amplified, the output square wave was then filtered to remove the AC component much the way that low pass filters are used to filter out the ripple in power supplies. change, the output remains at 3 volts indefinitely. Not all signals that are worth amplifying change rapidly like radio or audio signals. Some signals, like temperature readings, barometric pressure, or humidity, change slowly over hours or days. Before integrated circuits, building high gain DC amplifiers was difficult because temperature changes made the amplifier very unstable. As the gains of individual transistors changed, the transistor outputs would drift up and down changing the quiescent points. These changes in DC voltage would be directly coupled to the next stage where they would be amplified and fed to the next stage. The result was that small changes in voltage would be amplified until the last amplifier stage would turn full on or full off without any regard for the input signal. to Integrated circuits tion can have extremely closely matched and temperature characteristics. These matched transistors are used in the circuit so that changes with temperature will be cancelled by the same changes occurring in identical transistors. Another trick used to temperature stabilize transistor amplifiers is to put a diode between the base and emitter. As the transistor heats and tries to turn more on, the diode also heats and its forward offset voltage decreases. This change shunts more base current to the emitter and turns the transistor back off again. Three examples of silicon chip In contrast, a high gain AC amplifier is easy stable because the biasing of each of the is independent. The made chopper stabilizamade on the same Transistors gains make several transistor stages obsolete. DC from one stage is not biasing the next stage because the stages are separated from each other base diode technique can be found in the integrated operational amplifier circuit in Fig. 10-4. this by capacitors or transformers. As the quiescent point of one transistor changes, this change along it Probably the most well known operational is the type 741 integrated circuit. The cannot pass to the next stage. amplifier "MCI" In the old days, slowly changing DC were usually amplified by chopper stabilized DC The DC signal was "chopped" into a fied by AC AC signal that could be ampli- amplifiers. The amplitude of means that this circuit is the . amplifiers. square-wave-like prefix Motorola Company version of the IC. The 741 opamp needs two power supplies, +V CC and — V ee The output is designed to rest at a quiescent point of exactly zero volts. So if the operational amplifier were used as a high fidelity amplifier, signals the 164 Many of the operational amplifiers are not as fancy as the 741 and do not have an external null offset adjustment. For example, the MC1558 con- (TYPICAL +12) sists of two 741's in the same 8 pin IC package. The MC4741 contains four 74 Is in a 14 pin NON-INVERTING INPUT > > package. In these IC's there are not enough pins OUTPUT to allow offset null leads for * INVERTING INPUT of the individual Some operational amplifiers, such as the LM324, are designed for use with a single power supply. This means that "zero" must be defined at some voltage half way between zero and V cc just the way we did for the class A amplifier. FFSET NULL ADJUSTS OUTPUT TO EXACTLY ZERO VOLTS WHEN THERE IS NO SIGNAL. -V ee all operational amplifiers. , (TYPICAL -12 VOLTS) pull NOTE THE COMPLEMENTARY Notice that the output of the 741 is a pushcomplementary amplifier. This allows the output to change from a very high voltage, nearly +V CC down to a very low voltage, nearly V ee without ever having very large currents flow directly from +V CC down to — V ee Large currents are prohibited because only one of the two output transistors needs to be turned full on at one time. This is the same energy saving principle we discussed in the CMOS inverter circuit. By having the two transistors on at different times, the current through the two transistors is never , CLASS B OUTPUT. , . INVERTING INPUT OFFSET NULL great and (25 50 k VEE is by the two resistors programmable operational further limited and 50 ohms). A amplifier has an input lead that allows the circuit V_ minimum power whatever power supply voltages quiescent current to be tuned for consumption are being used. THE CURRENT SOURCE IS THE CIRCUITRY AROUND THE OFFSET NULL INPUTS. 10-4 Fig. MC1741 diagram and circuit (741) operational amplifier is symbol how fast the voltage on the output can change. For example, the slew rate of a 741 is 0.5 volts change in one microsecond, or 0.5 V7 \i s. A newer, high speed version of the 741, the MCI 74 IS has a slew rate of 10V7 u s. wave output signal would be symmetabout the zero voltage axis. For some applications, such as an amplifier for a thermocouple thermometer, the output must be adjusted to the sine do when this the 741 is lead. the input Frequency response in operational amplifiers measured in terms of slew rate. This just refers to rical exactly zero volts for is zero volts. equipped with an To F. The Comparator offset null The best way "Offset" means a voltage set off to one side to understand the operational thousandths of a volt is not important because the signal is AC and any offset will disappear how it is used. The simplest use for an operational amplifier is to use it as a comparator. By connecting the two inputs to different voltages, these two voltages can be compared. In other words, whenever one voltage is bigger than the other, the op-amp will turn full on or full off. This off-on switching action is often across the coupling capacitors. used to control machinerv or and "null" means to set something to zero. This is done by means of a potentiometer wired to the op-amp as shown in Fig. 10-4. For many applications, such as a high fidelity of zero amplifier preamplifier, adjusting the zero to within a few 165 is to study circuits. A REFERENCE VOLTAGE REPRESENTING THERMOSTAT SETTING 70° ? +v cc (5 VOLTS) 65° FURNACE ON 60° TA VOLTAGE REPRESENTING ROOM TEMPERATURE FURNACE OFF (5 FURNACE OFF VOLTS) rrn Fig. 10-5 A comparator used as a thermostat. For example, a comparator could be the heart of a thermostatic control for a home Fig. 10-6 shows a single IC which contains ten comparators. These comparators can be used to drive a bar graph voltmeter. The bar graph furnace. When the voltage representing room temperature drops below a voltage representing the desired room temperature, the comparator would switch and turn on the furnace. The thermostat temperature control is just a potentiometer which is calibrated in degrees of temperature, but it produces reference voltages that are compared with the voltage from an electronic thermometer. voltmeter is simply ten lights lined up in a row or column. The lights could be labeled in volts from one volt up to ten volts, miles per hour, or any other calibration. The lights are light emitting diodes (LEDs) and each light is driven by its own comparator. Each comparator is wired to look for voltage: one volt, two volts, three and so on up to ten volts. These reference voltages are obtained from a string of eleven resistors in series. The voltage to be measured is a specific volts, When the positive (non-inverting) input is connected to a more positive voltage than the negative input (inverting input), the output voltage will go full up to nearly V cc a high positive voltage. If the inverting input is more positive than the non-inverting input, the output will drop to a low voltage, nearly the negative supply voltage, — V ee Actually, comparators are more likely to be used with just one power supply since there is no need for the output to be balanced half way on at exactly zero volts. introduced to the positive inputs of all of these comparators. All comparators whose reference voltages are exceeded will turn on. As the column of lights is activated, the visual effect resembles the red column rising in a thermometer. , . Comparators do not need way on ference to be balanced half when be put the input signal difprecisely zero. Also, they do not need at zero volts is This voltmeter is rather crude, since it has cnly ten steps. However, it is cheap and it is beginning to be used for fuel gauges or other uses where the quantity cannot be precisely measured. If more precision is needed, two or more ICs can in series to drive columns of 20 or 30 lights. high linearity. As a result, special comparator integrated circuits are usually used for this purpose instead of op-amps. These circuits are usually simpler and cheaper than op-amps, and because they have fewer parts, they often switch on and off faster than the complex op-amps. G. The Voltage Follower Another simple use for the op-amp is a voltage follower. The voltage follower is used for matching high impedance sources to low imped166 + 12 VOLTS DC 10 VOLTS 9 VOLTS THE IC (DASHED LINE) CONTAINS 10 COMPARATORS AND THE 10 RESISTORS WHICH ARE THE REFERENCE VOLTAGE STRING. £> 8 VOLTS £> /\_ 7 W/ VOLTS 6 "\ •M- =D> \l / VOLTS s> 7 5 VOLTS \l/ VOLTS t> _/\ 4 / VOLTS t> 3 / VOLTS t> 2 LIGHTS GO ON IN > 7RESPONSE TO 7 VOLTS INPUT. W- >r- \l / VOLTS =D> 1VOLT 3> / / _j /777 Fig. 10-6 A I \ rrn bar graph voltmeter which uses a single 167 IC containing ten comparators. ance loads. In Section 7 the emitter follower and source follower were used the same way. Suppose you had a signal with a large voltage but a high source impedance. If you try to use this voltage directly to drive a meter or an amplifier, the load will draw too much current and voltage will sag and become inaccurate or distorted. The voltage follower configuration will amplify the signal current but the output voltage will be identical to the input. This circuit will provide whatever current is needed, but the output voltage will always feedback will stop the output from changing as soon as the difference voltage is negative again zero. The voltage gain of the voltage follower is one. However, the current gain can be quite high depending on the design of the op-amp and will vary with the size of the load impedance. The load on an operational amplifier can be from the output to ground, the output to +V CC or even from the output to — V ee This versatility is a major reason why op-amps are so widely used. , . "follow the input." NEGATIVE FEEDBACK H. Precision Diode Now here is a cute little circuit variation of the voltage follower. that is a slight You may have been bothered by the lack of a rectifying diode with a break point at exactly zero volts. On the other hand, maybe not! All the diodes we have looked at so far either haver a voltage offset of 0.2 or 0.6 volts or do other strange things. In contrast, this diode is almost "perfect." V|N = V So A v = 1 10-7 A voltage follower used to match a high impedance source to a low impedance load. Fig. shows an op-amp wired as a voltage The output is wired directly to the Fig. 10-7 follower. - 0.6 + VOLTS COMPENSATION an example of negative feedback. Whenever the output tries to rise, this rise is coupled back to the input and tries to turn the output back down again. Of course, if the output falls below the positive input voltage, the feedback will cause the output to rise again. negative input. This is VOLT- Ok AMPERE now, listen up! If you miss the next sentence, you have missed 13 of the whole section. In an operational amplifier circuit with negative feedback, the extremely high gain will change the output until the negative op-amp input voltage equals the positive op-amp input voltage. By SILICON DIODE CHARACTERISTIC FORWARD CHARACTERISTIC +V + 0.6 VOLTS the definition of a differential amplifier, the output voltage will be the difference between the positive and negative input voltages multiplied times the gain. Because of the way it is wired, the voltage follower output voltage is the negative input means that whenever the positive input tries to differ from the negative input, the voltage. This Fig. L68 10S F } recision diode made with an op-amp. made from an tional amplifier to cancel out the offset voltage. back at all, the voltage difference between the two inputs is zero. It is as though the two inputs were connected together and they are shorted. We know This strange connection This precision diode germanium silicon or is ordinary diode, but uses an opera- that this circuit has negative feedback because circuitry connects the output with the in- verting the Therefore, input. amplifier tween the two inputs is always zero and that the inputs draw no current is all you need to figure out what the amplifier is doing. will change the output until the voltage on the negative input equals the voltage on the positive input. Because of the feedback, the op-amp will assume the same voltage drop across it that is across the diode and cancel out the voltage offset. Now tiny AC current signals can be rectified precisely at zero volts. Notice that even the forward resistance of the real diode is largely compensated and the resulting volt-ampere characteristic is an almost perfect rectifier. Of course this diode and is still limitations and the of the Non-inverting amplifier with controlled gain 1. The easiest way to understand how a ne- gative feedback network determines the gain is to start by looking at the output voltage. Then we will work our way back to the input. Fig. 10-9, the output of the op-amp The current flows from the subject to the frequency, current, voltage amplifier is called a virtual short that the voltage difference be- Knowing circuit. ground through the 2K Q operational resistor. real diode. 6 in 6 volts DC. volts resistor The voltage divides As drawn is down and the to 1KQ across these two resistors. So, /. Operational Amplifiers With Controlled R R + Rf Voltage Gain VinThe input resistance to an op-amp, as measured from either input to ground, is very high. This is because the current source circuit that acts like an "emitter resistor" makes voltage drop between the emitter IK a large and — V ee Vin : . P-N junctions of the transistors can not conduct current from one input to the other, so the impedance between one input and the other is quite high, ideally infinite. In op-amps made from FETs these input resistances really do approach IK + 2K 6 = — 6 = 2 volts Also, the This is consistent with the high gain and negative feedback forcing the two inputs to have the same That is, zero volts difference tween the two op-amp inputs. voltage, 2 volts. be- infinity. Because of Just to make sure you have the right idea, look at a negative input signal to the same amplifier: the output voltage is —4.5 volts so this large input resistance, the current that flows into an op-amp input microamperes is These the purpose of let's very cur- positive current calbe ignored for culating voltage gain and predicting the overall performance. You should consider the input resistance to an op-amp as infinite. Therefore, no current flows into an op-amp input. As a result, the voltage on an op-amp input should not be determined by this current. Later we will see that the tiny input currents are important for balancing an op-amp output to zero volts. However, from the point of view of the op-amp's assigned task in the circuit, the input current is negligible. the —4.5 volts. small. 0.1 rents can is typical. must flow from ground down As across the resistors and the two input voltages should come out equal, —1.5 volts. Vin- = R R + Rf IK We saw in the voltage follower how the huge in" voltage gain of the op-amp made the negative input the same voltage as the positive input. The gain of the op-amp is so high, that for all practical purposes, whenever there is any negative to before, the voltage divides feed- 169 4.5 IK + 2K = 1 4.5 3 = -1.5 volts POSITIVE CURRENT FLOWS FROM 6 VOLTS, PAST V|N-. AND DOWN TO GROUND. ZERO. VOLTS rm + 6 VOLTS DC 6 -v ee > R + Rf Vo Av = V|N + rrn p± tr Fig. 10-9 POSITIVE ] Non-inverting amplifier CURRENT FLOWS FROM VOLTS. PAST V|N-. AND DOWN TO -4.5 VOLTS. 4.5 6 ~ > Vo = A v VOLTS v ee V| N Vo = (3X-15) = -4.5 VOLTS rrn Non-inverting amplifier with negative input voltage. Fig. 10-10 We can summarize the gain of non-inverting 2. amplifiers with the formula: Av = + This formula is R + Rf R memorize it operational amplifiers with con- Wiring the op-amp so that the output signal is not very different, but the voltage gain changes because the two inputs are always is so basic to figuring out opera- tional amplifier circuits, that Inverting trolled gain inverted locked together at zero volts instead of at the input voltage. In the inverting amplifier the positive input is soldered to zero volts, so the negative input must follow it. you should either or be able to figure out the gain in a few seconds using the reasoning process we just went through. 170 POSITIVE CURRENT FLOWS FROM +2 VOLTS, PAST ZERO, AND DOWN TO -4 ' R VOLTS, PAST ZERO, VOLTS. AND DOWN TO THE 1K^ + 2 VOLTS ) VlN >— 1.5 n 77 INPUT, -1.5 i ZERO WW* V|N^> CURRENT FLOWS FROM +3 POSITIVE 1KQ >n rrn V ZERO VOLTS vAAAA- VOLTS ZERO VOLTS VOLTS = -4 VOLTS ZERO VOLTS V = + 3 VOLTS Vo = -2 VOLTAGE GAIN = -1.5 VlN I = -Rf -<2K) R 1K = -2 = - V = 3 Fig. 10-12 Fig. 10-11 Inverting amplifier put In Fig. 10-11 the inverting amplifier is using same resistors as in the non-inverting amplifier, but the gain is less. Knowing that the two inputs will be equal and zero, makes it easy to figure out what the output will be. If we assume that the input voltage is +2 volts DC, then this voltage will force a current to flow down to zero volts through the 1KQ resistor. No current goes into the negative op-amp input because of the nearly infinite input impedance. Therefore the current must keep right on flowing past zero volts and into the 2k Q resistor. Since there is a 2 volts drop across alKQ resistor, there must be a 4 volts drop across a 2K Q resistor. We already know that this is an inverting amplifier, so the output voltage must be negative when the input is positive. We also know that since the current is going "past" zero volts, it must be headed toward a negative voltage. Therefore the output voltage in this example must be —4 volts. J. Rf = (1.5 ma ma)(2KQ) Inverting amplifier with negative in- Rf_ R Balancing Operational Amplifiers If operational amplifiers are used for amplifying small DC voltages, then balancing the amplifier is very important. Balancing is adjusting the output voltage to zero volts DC when the inis at zero volts DC. Most quality oscillo- put scopes have a DC balance control on the vertical input amplifier. It is usually adjustable with a screw driver from the front panel. If the scope is not balanced, then the zero volt line will move up or down dramatically when you change the sensitivity range. If you put one volt into your oscilloscope and you think it is 5 volts because your amplifier was not balanced, then this error could lead you to make a mistake. The currents flowing into the plus and minus inputs of the op-amp are insignificant for calculating amplifier gain, but they are not insignificant for balancing the amplifier. Even though these currents are tiny, the high gain of the amplifier will greatly exaggerate any difference between them. The difference between the input currents is called the inpu+ current offset. The it — 1.5 mA, came from the 2K Q resistor. Since there is a 1.5 volts drop across a IK resistor, there must be 3 volts across a 2KQ resistor. We can summarize inverting amplifier gains with the following formula: rent, i Av = - again using a negative input voltage, —1.5 volts. We know that the negative input terminal on the op-amp is zero, so a positive current will flow from zero down to —1.5 volts through the 1KQ resistor. Because of the huge input resistance, no current comes out of the negative input terminal. Therefore, all of this curtry VOLTS = 1.5 voltage. the Let's VOLTS 1KQ adjustment used with the 741 and is an internal compensation for this imbalance of currents which may or may not be enough to compensate for unnull offset other operational amplifiers equal 171 DC input currents. To keep 200 ° C below zero, and extremely high temperatures up to the melting points of the the amplifier quiescent point balanc- tures, ed at zero, the DC currents flowing into both inputs must be equal. To keep these currents equal, the resistance between the inputs and ground should be equal. This explains why there is often a resistor in series with the positive input when there would be no need for one if the op-amp really had an infinite input impedance. In most applications the input signal source is in series with metals. Sometimes the thermocouple voltage is read by a sensitive voltmeter or galvanometer. This thermometer assembly is called a pyrometer. The exhaust gas temperature (EGT) meter in an aircraft is an example of this. An addirectly vantage of the thermocouple over the thermistor is that it is self-powered. No other power source, like the battery, is needed to run the thermocouple. The ambient heat is enough to make the metals exchange charge and establish the thermocouple voltage. Sometimes a temperature meter reading is needed a great distance from the thermocouple or perhaps the temperature reading is needed at several locations at once. To do this, the thermocouple voltage must be amplified. one of the input leads, so the resistance between the input and ground should include the resistance of the voltage source itself. These principles are illustrated in the thermocouple amplifier discussed next. K. A Thermocouple Amplifier The thermocouple thermometer is a basic electronic device that every technician should be familiar with. When two different metals like cop- per and iron are joined together, a tiny DC Fig. 10-13 shows an operational amplifier used to amplify the DC level of a thermocouple temperature sensor so that this DC level will be able to drive an insensitive voltmeter. Depending on how the voltage gain is adjusted, the voltage output of the op-amp can either be the same as the thermocouple itself, or many times larger. The important thing is that the power output from the operational amplifier can be very large. Notice in the diagram how the amplifier has two appears 50 across the junction. This voltage increases linearly with temperature. A small thermocouple cannot provide any significant power and it is difficult to measure this small voltage. Usually particular metal alloys are chosen which produce large, linear voltage changes over the range of temperatures needed. Unlike thermistors, thermocouples can be used at extremely low temperavoltage, typically 1 to millivolts, GAIN CONTROL ,+ v) "- IRON WIRE NULL OFFSET CONSTANT AN METAL ALLOY WIRE /7T7 TWO WIRES FUSED TOGETHER TO MAKE A THERMOCOUPLE. TYPICAL THERMOCOUPLE RESISTANCE IS 10 6-12 VOLTS WHENEVER POSSIBLE. THE TWO INPUTS SHOULD HAVE THE SAME RESISTANCE TO GROUND SO THAT V WILL EASILY BALANCE AT ZERO Fig. 70-/.? Thermocouple amplifier 172 DC VOLTMETER CALIBRATED AS A THERMOMETER calibration controls; one to set the zero point and Op-Amp Output Impedance M. a second one to adjust the gain. Ideally the input should be shorted out to make a true zero voltage when adjusting the null offset control. L. Single Now that we have discussed how voltage gains are determined and how the output is balanced, we need to cover how these amplifiers Power Supply Amplifiers power transfer In the op-amps assumed we have discussed so far, the to amplifier in Fig. 10-14 resistance is it had is a fixed quantity. drawn from Whenever current this source, there will be a voltage drop across this resistance and the voltage seen . Another drawback re- low. In fact, In an ordinary voltage source, the internal de- extra resistors and capacitors are needed to do this, but the circuit is basically the as in Fig. 10-11. is section. see, a lot of same one The output behavior was one of the goals of the "perfect amplifier" we discussed at the beginning of the monstrates how a single power supply can be used if a new "zero reference point'" is established halfway between ground and +V CC As you can this circuit is that the loads. zero output resistance. This ideal voltage source . The inverting their the op-amp attempts to behave as though have two power supplies, +V CC and — V ee In addition, the ground is used as a fixed reference point for zero volts. Because two separate power supplies can be expensive and cumbersome, op-amp circuits are sometimes used which require only one power supply. circuit is to sistance of an operational amplifier across the terminals of this source will drop. more and more current of drop still is drawn, the voltage As will more. use of coupling capacitors input and output restricts the circuit to AC The coupling capacitors are needed to translate between the different zero points used in the amplifier and the input and output. If the zero reference at the input and output were the On in the the other hand, an operational amplifier much current as necessary so output voltage will never fall below the voltage determined by the input voltage and the feedback resistor. In other words, the op-amp automatically compensates for decreasing load resistance by supplying more and more current at will try to deliver as signals. that same, 1/2 of V cc then these capacitors could be omitted and the amplifier would amplify very low frequency or DC signals. , its virtually the same voltage. COUPLING CAPACITORS ADJUST THE AMPLIFIER ZERO REFERENCE, 1/2 V cc TO THE REFERENCE POINT, ZERO, OF THE INPUT AND OUTPUT. NEW ZERO -^vout POINT REFERENCE 1/2 V CC rrn Fig. 10-14 Inverting AC amplifier 173 with a single power supply. NEGATIVE OUTPUT VOLTAGE SWING LOAD RESISTANCE POSITIVE OUTPUT VOLTAGE SWING VERSUS LOAD RESISTANCE versus -15 -14 -13 o. > -12 a. tu -11 i- -9.0 a -10 < — +15 V SUPPLIES ' < + 12V o -an > K -/.o =3 0. 1Z3 o 6 > 500 700 200 RL. 1.0 k 2.0 k 10k 5.0 k ±9 V -fiO -b.U -4.0 -3.0 -2.0 -1.0 + 100 200 LOAD RESISTANCE (OHMS) Fig. 10-15 500 700 RL, Maximum 2.0 k 1.0 k V|N 'OUT ma io9 + r .01 .02 .03 EQUALLY SPACED LEVELS OF VOLTAGE CONTROL. _^V_ .04 .05 .06 .07 .08 .09 .1 8 VOLT-AMPERE CHARACTERISTICS OF A 741 OP-AMP WIRED AS A VOLTAGE AMPLIFIER WITH A VOLTAGE GAIN OF 100 7 6 5 4 3 2 1 "V" Vin NEGATIVE CONTROL VOLTAGE Fig. 10-16 -I Volt-ampere characteristic for an op-amp with a gain of 100. 174 V 5.0 k 7.0 k LOAD RESISTANCE (OHMS) output voltage versus load resistance 6 10 k When we calculated voltage gains for am- we assumed operational amplifier output voltage would be independent of the output resistance. We assumed that, no matter what the load resistance was, 10,000 ohms or 0.1 ohm, the op-amp would generate enough load current so that the output voltage would depend only on the input voltage. It is not realistic to expect a tiny IC smaller than a corn flake to produce hundreds of amperes. There must be some load resistance at which the op-amp can no longer supply enough current. In practice the operational amplifier does have an internal resistance and its ability to compensate for big loads is ultimately limited by this resistance. For example, according to the specification sheet, the 741 op-amp has a 75 ohm output resistance. plifiers that is a sophisticated transistor amplifier and through the use of negative feed- the back, the operational amplifier has an excellent voltage source output with a programmable voltage gain. Compare Fig. 10-16 with Fig. 4-5 and you will see that the op-amp does with voltage what the "ideal transistor" is supposed to do with current. QUESTIONS: 1. 2. Operational amplifiers are supposed to be "ideal amplifiers." In what ways do opamps fall short of this goal? What they are differential amplifiers? What do have to do with operational am- plifiers? Rather than asking what the output resistance is, perhaps we should be asking how big a load or how low a resistance can be put on an operational amplifier without the output voltage falling below what it ought to be? Fig. 10-15 is two graphs showing the output voltage swing of a 741 op-amp versus different load resistances. Voltage swing refers to how far the voltage can change away from zero in response to an input. The limits of this swing are partly determined by the power supply voltages and for this reason there needs to be a separate curve for each power supply voltage. 3. Using words instead of an equation, exwhat is meant by the common mode plain rejection ratio? 4. 5. If the input voltage on a non-inverting input of a differential amplifier goes up, while the input voltage on the inverting input stays the same, would the amplifier output go up or down? If the differential amplifier has differential outputs, what would you expect these outputs to do? Integrated circuit op-amps generally have or more direct coupled amplifier stages inside them. What is the advantage four Curves for four different pairs of voltage supshown. As long as the load resistor is greater than 1KQ, the maximum voltage swing is largely independent of the load resistance. This is reasonable because 75 ohms is pretty tiny compared to 1000 ohms. But when the load gets down to 100 ohms, 75 ohms is almost as large. The opamp is only able to compensate for this heavy load over a small range, about 2 volts positive and negative. Notice that the voltage swing is always less than the sum of +V CC and — V ee For instance, with 12 volt supplies the output signal can be only 11 volts positive and 10 volts neplies are of direct coupled amplifiers like this? 6. makes them stable? What chopper stabilized a is DC What am- plifier? 7. Some op-amp ICs are equipped with offset What are they used for and why null leads. don't all op-amps have them? What is a bar graph voltmeter? What is a voltage follower used for? . 8. gative. 9. In Sections 4 and 6 we looked Why do the positive and negative op-amp inputs have the same voltage? at a lot of volt- ampere diagrams for transistors. In all those condevices the output appeared to be a current source. Then later in Section 7 we saw that when these constant currents were forced to flow trol 10. is shown in Fig. work as well with a precision diode circuit 10-8. Will this circuit germanium diode or does the offset voltage compensation work only with silicon through load resistors, the current source was converted to a fairly good voltage source in the various transistor amplifier configurations. A diodes? The 175 11. When is there a "virtual short circuit" be- 20. What does 13. When the op-amp amp? What symptom is non -in verting amplifier similar tell "R" 1KQ, is voltage what to Fig. feedback the is amplifier input —2 volts, what will the be? What kind of power output supply Rf? the If is voltage voltages would be needed to make it possible to amplify — 2 volts without distortion? 14. inputs the If an to inverting op-amp amplifier always remain at zero volts and they don't accept any input current, how can the amplifier amplify voltage? 15. The feedback resistor in amplifier like Fig. 10-11 resistor, R, is is —3 volts, 2.5K Q. what If an 5K is Q. inverting The input the input voltage will the output voltage be? 16. What the importance of the input offset is current? 17. Suppose you were to build a non-inverting amplifier like the one in Fig. notice that voltage is to fix this when Vj n not quite zero. 10-9. zero, the You output What can be done problem? 18. What 19. The input and output is is a pyrometer? of the amplifier in coupled with capacitors. What are these capacitors for? Other than extra cost, what is the disadvantage of using coupling capacitors? What effect do they have on very high frequency signals? Fig. 10-14 wired with negative or symptoms would you that the output load resistance is too low? 10-9 has a voltage gain of 7. If the resistor resistance. is feedback resistor. What does this tell you about the output impedance? What eventually limits the current output of the op- wired as an amplifier with a finite amount of gain, what does the current flowing into the op-amp input terminals have to do with this gain? A an op-amp feedback, the output voltage depends almost entirely on the input voltage and the tween the two op-amp inputs? this virtual short circuit have to do with the high gain of the op-amp? 12. When are 176 SECTION XI Applications for Operational Amplifiers A. Introduction In this section we are going to cover operational amplifier circuits. Whenever more possible, examples of practical uses for these circuits will be given. You shouldn't get the idea that these op-amp circuits are the only way that these various tasks can be accomplished. Cheap, IC opamps are relatively recent, 1970, and most of these same circuits can be built using discrete parts or with design philosophies that are quite Vo = (V|N2 - For example, TV set sweep circuits are used to illustrate a use for an op-amp integrator. Don't be surprised if your particular TV set doesn't use op-amps in its sweep circuits. Most TV sets use multivibrators or tube or transistor circuits that resemble relaxation oscillators to accomplish this same job. different. Adiff Operational Amplifiers as Differential Am- The operational The = -r— Rl SO, = 10 Operational amplifier used as a dif- Summing Amplifier amp the inverting amplifier and remains at zero volts 11-1 has a voltage gain of 10. Adiff 1K with controlled gain by com- differential amplifier ferential amplifier rT amplifier can be wired as a bining the inverting and non-inverting circuits to one. 10K The inverting amplifier can be used to add two or more different signals together. Several input resistors can be fed into the same negative op- plifiers differential amplifier Rf = ferential amplifier. C. B. 11-1 Fig. V|N-|) shown The gain (Vin2 The negative input is at zero volts in because of the feedback. The current that flows through the feedback resistor is the sum of the several input currents through the input resistors. This is because virtually no current flows into the negative op-amp input, so the currents all join together in flowing through the feedback resistor. The negative op-amp input is at zero volts and remains at zero, independent of the input currents that are being added. Therefore the several currents being added do not interfere with each other. in- in Fig. of this dif- is: Vo = input. 1 " V in i) J ! Ri 177 VOLTS 'TOTAL = Oa + 'b INVERTER + «c) / V a + Vb + V c rm rrn Fig. 11-2 OUTPUT t Operational adding circuit D. 1 Active Frequency Filters db HIGH PASS FILTER A common use for operational amplifiers is low frequency filtering. By "low" we mean below 1 MHz. A typical application for this might be a telephone number tone decoder for use with a push button telephone. With push button phones, the telephone number is coded into a sequence of musical tones. Therefore, at the telephone exchange, there must be sharp filters that separate one musical tone from another so that the numbers may be recognized. for attenuate/i / PASS ' FREQUEN J 'V CUT OFF FREQUENCY OUTPUT db I LOW PASS FREQUENCY You PASS ATTENUATE FREQUENCY V Fig. 11-3 even three RC RC filters are put filters two or in series, the relative attenuation of one frequency over another can be dramatic. The frequency filtering characteristics CUT OFF and low pass filters are shown in Fig. graph like this that shows the output of a of high pass FREQUENCY Frequency characteristics of high pass and low pass are already familiar with using to attenuate high or low frequencies. If 11-3. A circuit in decibels versus the frequency of the filters. processing is called a Bode Plot and is Mr. Bode. This graph shows how some frequencies are passed or amplified while others are suppressed or blocked. signal it is named Notice that the operational adder must be an inverting amplifier. If a similar circuit were attempted with the non-inverting amplifier, a large input voltage on one of the input resistors would change the voltage on the op-amp inputs. As one adding input voltage changes, the voltage shift would change the currents received from the other adding input resistors. These changes would produce an error in the addition. If the The after closer the the more difficult two frequencies are together, is to attenuate one without attenuating the other. Suppose several RC filters are put in series to try to seperate two close frequencies, for instance, 500 Hz and 450 Hz. By the time the two signals have sufficiently different amplitudes, the amplitudes of both signals will be attenuated to the point where the desired signal reversed polarity of an inverting amplifier output is not acceptable, the best way to correct it is to invert the signal again with a second inverting amplifier that has a gain of one. will ITS it be too weak to use. High pass and low pass active filters are shown in Fig. 11-4. An active frequency filter consists of one or two RC filters incorporated into an operational amplifier so that the desired signal amplified at the same time very large, 2 or 3 at the most. If more gain is attempted, the amplifier becomes a poorly designed phase shift sine wave oscillator, like the ones we studied in Section 8. The exact frequency at which the amplitude is cut off is determined by the R and C time constant. Several of these filters can be put in series to make the discrimination between two frequencies very sharp. is Usually R2 + R1/R1, is not it is filtered. the gain of these amplifiers When active filters are used in a circuit important to have the output it is V voltage, , centered at zero volts so that the AC output signal can swing positive and negative as widely as possible. This can be done by having both inputs of the operational amplifier tied to ground V|N (zero volts) This is with equal amounts of resistance. easiest to see with the high pass filter where Ri should equal R. In the low pass the input resistance to the positive input filter is two both with resistance R. If the source impedance of Vj n is low, as it would be if Vj n were the output of another op-amp, then when the input voltage, Vi n is zero, the positive input will be grounded by a resistance of approximately 2R. This will satisfy the condition that series resistors, V J\. v RC LOW Y RC LOW PASS PASS NOTE: R-i, V WILL BE NICELY BALANCED AT ZERO IF R + R = , WHEN V|N IS ZERO AND THE SOURCE RESISTANCE OF V|N LOW PASS ACTIVE IS ZERO. FILTER NOTE: R = R-i, V WILL BE NICELY D.C. IF BALANCED AT ZERO WHEN V|N IS A ZERO. HIGH PASS /! freq 1 ,L V,N>—|f A i l LOW PASS i\ freq IfH fv„ CR HIGH CR PASS 1 HIGH PASS /! HIGH PASS ACTIVE FILTER Fig. 11-4 A — Low pass pass active BAND PASS active filter fL B— 1 v fH THE "PASS BAND" High Fig. 11-5 filter 179 Band pass filter freq the two inputs be grounded equally and the output V will be nicely centered on zero. If the output is not centered at zero, an AC signal at the output may have the peaks of its sine waves clip- filters have done their work, the two signals are recombined in an operational adder. ped E. off at either the positive or negative ex- The Logarithmic Amplifier tremes. The low pass and high pass filters By using silicon or germanium diodes as the negative feedback element in an inverting amplifier, it is possible to build an amplifier that has an output voltage equal to the natural logarithm of the input voltage. A complex but similar circuit made with two op-amps can be used to take the anti-natural-logarithm of the input voltage. can be put in series so that their cut-off frequencies overlap and make a band pass filter. This means they will pass a narrow band of frequencies, but will exclude all other frequencies. The telephone number recognizing circuit that responds to a specific musical tone but ignores all other tones would be an example of this. So what? Think back to those dull, sleepy spring days in the 10th grade when you learned about You logarithms. The low pass and high pass can be put in parallel to form a notch filter. This filter system excludes or suppresses a narrow band of frequencies, but allows all other frequencies to pass through without attenuation. After the two logarithms can be will recall that used to multiply, divide, take square filters raise numbers roots, and to exponential powers. Back in Section 2 we discussed three defects P-N junction that make it differ from an in the "ideal diode." HIGH PASS resistance. >- Vo ADDER description of real diodes The forward resistance is was not a simple linear equation because this resistance is not constant and does not plot on a graph as a OP-AMP —» Our oversimplified. —*- »H VlN These defects were the forward offand the forward set voltage, the zener breakdown, ? 1 LOW PASS SILICON «L DIODE 1 1 HIGH PASS 1 ' 1 I '/' \J 1 ' 1 1 1 1 OFFSET VOLTAGE fH THE FORWARD RESISTANCE REGION THE VOLTAGE VARIES AS THE NATURAL LOGARITHM OF THE CURRENT IN ZENER BREAKDOWN i V V = K ADDER +V A .06 ,rec^ 1 , iyfc OUTPUT WHERE (0.6 VOLTS) In K VARIES WITH DIODE TEMPERATURE i Fig. 11-6 Notch V Fig. 11-7 i filter 180 Diode volt-ampere characteristic I straight We line. forward charexpressed by the said that the acteristic of a diode could be LOG following linear equation: V = A I (Rforwardl more accurate equation diode SYMBOL + offset voltage for the voltage across a is: n V = K ^W\A Vin)> In I where K is a factor that depends on the diode temperature and the offset voltage. By using ment a diode as the negative feedback INVERTER rm VOUT = K ln(V|N) ele- WHERE K IS A FACTOR WHICH DEPENDS ON DIODE TEMPERATURE AND DIODE OFFSET VOLTAGE. an inverting amplifier, the output voltage will equal the natural logarithm of the current passing through the diode. The diode current is proportional to the input voltage which drives a current through the resistor R on its way toward in Fig. 11-8 A logarithmic amplifier zero volts. Unfortunately, practical logarithmic amplifiers need more stages fed into the antilogarithmic amplifier, the output to keep the logarithm of the function independent of temperature. antilogarithmic amplifier would be the original signal. As you can see from the illustramuch more complicated than tion, this circuit is the log function. Not only In order to perform mathematics with logit is necessary to find anti-logarithms as is a second stage needbut a current source circuit is needed to bias the first op-amp. We shall not attempt the math and frantic arm waving needed to explain this cir- arithms, well as logarithms. The ed, circuit in Fig. 11-9 will reverse the logarithm process. In other words, if the output from the logarithmic amplifier were cuit. CURRENT SOURCE ANTILOG CIRCUIT SYMBOL ^ VOUT INVERTING VOUT - -K' ln-1 WHERE (V|N) K' IS ANOTHER FACTOR WHICH DEPENDS ON DIODE TEMPERATURE Fig. 11-9 An anti-logarithmic amplifier 181 -(InX + lnY) = ANTILOG AMPLIFIER INVERTS SIGN OF /777 SIGNAL, SO AN ^ J INVERTER IS NOT NEEDED AFTER THE INVERTING ADDER ADDER In x + In y = xy = Fig. 11-10 A multiplier In - 1 (Inxy) made from logarithmic and anti-logarithmic amplifiers. In order to multiply two numbers together using logarithms, first the numbers are converted to their logarithms. Then the logarithms are added together. The antilogarithm is then taken of the sum of the logarithms. The result is To Division can be done in almost the same way. number into another, the logarithm divide one That is, the sign of the changed from plus to minus of the divisor is inverted. divisor logarithm before the pro- it is is fed into the adder. We will illustrate division with a circuit that will calculate duct. Given log e CIRCUIT. In xy X and Y, find XY: X + loge Y = how of flying time an aircraft has for the present rate of fuel flow. log e (XY) XY = antiloge (loge XY) loge and antilog e -1 equivalent to In and In respectively. so, many hours NOTE: The symbols are , FUEL TO ENGINE -(Ln FUEL - Ln FLOW) FUEL = -In VSAAS > FL0W * ANTILOG FUEL FLOW m FLYING TIME ADDER CIRCUIT Fig. 11-11 A flying time calculator circuit which divides fuel remaining in the tank by the rate of fuel flow to the engine 1 o2 The circuit in Fig. 11-11 is designed to produce a reading on how much flying time remains at the present rate of fuel consumption. The faster the engine is burning fuel, the shorter period of time the fuel will last. remaining fuel and voltage Y are fed into the multiplier and the output is a voltage equal to X times Y. Usually the product is made smaller by a scale factor, say 1/10, so that the product will be less than the power supply voltage. Without the scale factor, 5 volts times 10 volts would be 50 volts which would need at least a 50 volt power supply. Since the multiplier can tolerate only 15 volts, scaling the output down to less than 15 volts is essential. To use the multiplier as a divider, the multiplier IC is wired in series with the negative feedback resistor of an inverting amplifier. gallons/minute minutes of flying time remaining. The output of the circuit is a voltage which can be read on a voltmeter calibrated in minutes of to multiplier integrated circuits, the time circuit can be built using one multiplier IC and one op-amp. Multiplier ICs multiply two analog signals together. Voltage X gallons fuel flow/minute = Thanks flying fly- ing time. Referring to the circuit, the fuel tank gauge fuel flow meter both produce DC voltages proportional to these quantities. The logarithm of and voltages these then taken, is the fuel F. flow logarithm has its sign changed by an inverting amplifier. In logarithms, this is equivalent to taking the reciprocal of the number. That is, dividing the number into one. Then the two logarithms are added together and the antilogarithm is taken just as it was in the The tank -s- fuel flow = — so, In (fuel flow) flying time flying time = In -1 = [In in- ed with op-amp circuits. These circuits are used in analog computers which are used to solve differential equations. Integrator circuits, built with or without op-amps, are also widely used for many non-mathematical chores in circuits. Probably the most common use for integrators is in sweep In (fuel in tank) calculus mathematical operations of tegration and differentiation can also be perform- multiplier circuit. fuel in Integrators and Differentiators TV's and circuits in oscilloscopes. In (flying time) It is (flying time)] how strange a circuit as "simple'' as one and one capacitor can have so many different properties and uses. It seems as though 1/4 of the science of electronics is devoted to explaining RC circuits! Electronic integrators and differentiators made with op-amps are other uses for resistor XR2208 XY MULTIPLIER INTEGRATED <> CIRCUIT the existing RC circuit. XR2208 multiplier (r Fig. 11-13 integrated!/ shows an RC integrator circuit. CIRCUIT ways applications are just different vz > vVNAA the R1 ~7 VY = Vx rfn vx^11-12 A multiplier integrated circuit can also be used for division. same effect. the capacitor -Vz Fig. We have already used the same circuit in Fig. 11-4 as a low pass filter and in Section 5 it was a sine wave phase shift delay circuit. All three of these is related to of looking at the voltage across the current which charges the capacitor. To use the mathematical terminology, the voltage across the capacitor is the integral of the current which charges the capacitor. This same relationship can be expressed by saying that the current charging the capacitor is the derivative of the voltage across the capacitor. 183 As you know, VlN VOUT = —mv— THE INTEGRAL OF A l-SQUARE WAVE IS A TRIANGLE WAVE ^ = c | time • VOUT dt I 4 t y 1/c 1 time ufd i N/ 1 MILLISECONDS / i ZSS 2 4 i ' 5 MILLISECONDS VOUT R C = T (10KK1 Jd) = 10 \ ~jf(r dt •VOUT MUST BE VERY MUCH SMALLER THAN FOR ACCURACY MILLISECONDS Vin ORDER FOR THE INTEGRATION V|N TO BE ACCURATE. THE RC TIME CONSTANT SHOULD BE AT IN OF LEAST TIMES 10 1 MILLISECOND. Fig. 11-13 The voltage across the capacitor RC integrator circuit .dt -*«. ca P -o The current charging the capacitor more mathematical way to look at in- graph of the quantity being integrated versus the variable that is changing. Examples would be inches of rainfall versus time in days. Another would be the current charging the tegrals cap A season. is: is: is to plot a capacitor plotted versus the time in seconds. The In other words, differentiation and integration water or current delivered over a period of time will be proportional to the area under the curve on the graph. Or to say it another way, the integral of the rainfall over the rainy season is proportional to the depth of the water in are opposite processes. the rainbarrel. J cap total quantity of dV cap — dt Unless you have spent a calculus squiggles. lot of The problem with simple RC integrators is waveform must be very time looking at symbols are more Perhaps a better way to these frightening than useful. look at the integration circuit that is it that the output voltage much produces a smaller than the input voltage waveform. RC time constant must be longer than the cycle time or period of the In other words, the much voltage that is proportional to the quantity, of current that has flowed in (or out) through the waveform being something like a rainbarrel which collect^ water from the roof of a house in the desert. The depth of water in the barrel is propor- pacitor. integrated. This is because the voltage across the capacitor must not significantly change the current that is charging the ca- resistor. It is tional to how much rain fell But in a simple RC integrator, the voltage across the capacitor decreases the volt- during the rainy CAPACITOR WOULD CHARGE TO VOUT AV|N V| N - time MILLISECONDS RC 11K Fig. 11-14 ^>V ^/W^ ^> -if Vin IN IF V|N ABOUT 4 TIME CONSTANTS WERE DC VOLTAGE. UT 5 c = 0.5 time ..td MILLISECONDS = T xO.5 ,fd) = 0.5 An RC MILLISECONDS TRIANGLE WAVE IS BADLY DISTORTED integrator with too small a time constant. 1S4 TRIANGLE WAVE INVERTED IS LARGE BUT AV|N 1K AW Vin^> ZERO VOLTS 6 - v ee Fig. 11-15 Operational amplifier integrator in Fig. 11-15 is the age across the resistor. Therefore this voltage decreases the current charging the capacitor. This is comparable to the filling of the rain barrel causing the rain to stop! An operational amplifier integrator in Fig. 11-15. Because the positive input ground and because the is shown is tied to in across voltages, zero. The current flowing as the RC time constant R , not distorted. Now the only limitation on how high the output voltage can go without distorting the integral waveform are the power supply voltages, +V CC and — V ee The output waveform is inverted but this could be corrected with a second amplifier with a gain of is . back, the output will try to change the negative op-amp input so that the positive op-amp input will same However, because the voltage depends only on V m the output 11-14. waveform circuit has negative feed- and the negative op-amp input Fig. minus one. have equal into the in- tegrator input will always be flowing toward zero Integrator Sweep Circuits op-amp input. Because the voltage across the input resistor R is only caused by the input voltage, V the current that is stored in the rain barrel capacitor C will depend G. on Vj n and integrators volts on the negative m will , Probably the most the capacitor. This so to if Vin a is is an inverting amplifier configuration, positive, then the capacitor will charge negative capacitor starts voltage out "below zero." discharged, the If amounts in order to force the negative op-amp in- Using the operational amplifier to keep one end of R at zero volts, the voltage across the capacitor no longer effects the current charging RC use for electronic in wave in Fig. 11-13. As the capacitor slowly charges with a small current, its voltage gradually rises in a straight, linear voltage ramp. If the capacitor or the resistor are too small, the capacitor will charge too quickly and the charging current will fall off. This will cause the voltage to lose its straight, ramp-like characteristic. We have already seen how using an inverting operational amplifier can keep the charging current constant and the output voltage a volts. the capacitor. Notice that the is of a square the voltage across it will be zero. As the voltage across the capacitor grows higher and higher. The voltage across the op-amp will have to increase equal put to remain at zero common sweep circuits for TV sets and oscilloscopes. These circuits generate sawtoothshaped voltage or current waves which steer the electron beam across the screen. The basis for most sweep circuits is similar to the integration not depend on the voltage across straight ramp. time constant 185 A TRANSISTOR SWITCH SHORTS OUT CAPACITOR TO RESTART RAMP WAVEFORM. /CO4016 CMOSA IC SWITCH J A VlN ^ SYNCHRONIZATION PULSES TO CLOSE SWITCH AND BEGIN A NEW SCAN-RAMP. + V CC -RAMP WAVEFORM - -Vee- "RETRACE" WHEN SWITCH CLOSES. NEW RAMP STARTS WHEN SWITCH OPENS 6-Vee Fig. 11-16 A sweep circuit built with In the sweep circuit we are only interested in ramp portion of the output waveform. The return or retrace back to the bottom of the ramp should be as quick as possible. For this reason, the ramp sweep circuit just integrates a constant voltage until the ramp reaches the desired high voltage. At this point the capacitor is shorted out and the ramp abruptly returns to zero. This retrace function is accomplished by a switch across the capacitor which shorts it out after the completion of each cycle. There is no need to integrate a square wave because the retrace portion is done with the shorting switch. This switch could be a transistor or it could be the output side of a monostable one-shot multivibrator. A CMOS integrated circuit analog switch would work as shown. In the case of a TV set, the scanning sweep is triggered by pulses that are derived from the transmitted TV picture signal. These pulses tell the switch across the capacitor when to turn on and start a new scanning line. an op-amp integrator. Just to make the rising it complicated, every other pic- up one half line so that the next scan of 262 V2 lines will produce horizontal lines in between the lines from the last picture. This interlaced scanning fills in more detail and gives the resolution of a 525 line picture. By vertically scanning each picture twice instead of doing all 525 lines in one vertical scan, the picture flickers ture less is shifted and seems more realistic. The light and dark areas of the picture are represented by high amplitude and low amplitude signal strength in the amplitude modulated (AM) TV signal. This radio signal is detected and converted to a proportionately varying current. This current is amplified and applied to the cathode of the TV picture tube where the current becomes the electron beam. The electron beam is accelerated toward the TV screen and, depending on the strength of the radio signal at the moment, beam makes light or dark areas as the beam moves along each scanning line. If you have the forgotten how TV picture tubes work, review Fig. 1-7. A TV uses two sweep generators like this to generate the horizontal and vertical sweep ramp H. waveforms. The vertical sweep moves relatively slowly, 60 times per second and produces one sweep ramp per picture. The horizontal sweep The operational differentiator is the same as the integrator except that the resistor and capacitor are reversed. The voltage output is the moves much more rapidly, 15,750 times per second and produces 262' t horizontal scanning lines for The Operational Differentiator voltage across the resistor while the capacitor is charging. Therefore, this voltage is proportional every vertical scan of the picture. 186 ANTENNA AUDIO AMPLIFIER SUPERHETRODYNE FM SOUND RECEIVER LOUDSPEAKER DETECTOR AM VPICTURE PICTURE DETECTOR HORIZONTAL SYNCHRONIZATION PULSES (262 VERTICAL SCAN) / LIGHT AND DARK INFORMATION FOR BOTTOM 2 SCANNED LINES VPICTURE VERTICAL /LAI SYNCHRONIZTION /M w\A /vVlA PULSE kfl/w W^ SIMPLIFIED PICTURE SIGNAL /\ WAVEFORM HORIZONTAL SYNC. PULSES SYNCHRONIZATION PULSE SEPARATOR HORIZONTAL PULSES VERTICAL SYNC. PULSES VIDEO AMPLIFIER VERTICAL - PULSES H VIDEO AMPS ARE USUALLY CLASS A. C* VERTICAL 1% SWEEP AMPLIFIER VERTICAL SWEEP GENERATOR CIRCUIT HORIZONTAL VERTICAL DEFLECTION SWEEP RAMPS COIL \ SCANNED LINES HORIZONTAL SWEEP GENERATOR CIRCUIT HORIZONTAL SWEEP AMPLIFIER HORIZONTAL DEFLECTION COIL L|QHT FR0M PREVIOUS FRAME FADING AWAY Fig. 11-17 A block diagram of a 187 TV set. TV PICTURE TUBE to the current which is the first derivative of the voltage across the capacitor. Did you get that? If not, don't worry about it. Operational differentiators are not very practical and are seldom used. cient at accelerating the rocket. Therefore the more and more too. Problems like this would be extremely tedious to solve by hand because you would have to figure rate of acceleration increases all the new variables every second. Or to be more accurate, the calculations should be re- out The differentiator supposed to make a is voltage at the output that is proportional to how Since it is sensitive to the rate at which the input voltage changes and not the amplitude of those signals, even very small fast signals can make a huge out- peated every tiny fraction of a second. fast the input voltage changes. put signal appear at the output. The result is that the circuit goes crazy with the slightest bit of high frequency noise riding on the input signal. The analog computer output simulating the would be voltages rising and These voltages would represent increasing speed, decreasing fuel supply, and so on. The voltages would be graphed on oscilloscopes or chart recorders and this performance data would flight of the rocket falling. represent the "solution'* to the differential equa- V,N> tion. nMAA |f Out in the real world, the digital computer is rapidly taking over the solution of differential equations. } dV| N rrn v dt Fig. 11-18 When Operational differentiator V|N =(i|NPUTXR|N) needed, designers usualconcept around so that they can use an integrator instead. a differentiator FEEDBACK RESISTOR ALSO LOAD RESISTOR- is ly try to turn the circuit An The computer solves the problem using the tedious, slow method that was too cumbersome by hand. A digital computer is perfect for doing boring arithmetic at high speed, so this approach to the problem is quite practical. A major advantage of the digital approach is that analog computer is IS a collection of opera- ZERO VOLTS modules which can be wired together with test leads to make up circuits composed of op-amp integrators and amplifiers. This computer is used to solve differential equations by wiring up a circuit that simulates the equational amplifier equations contain differentials In order to simulate them, the tion. Differential or derivatives. whole equation the equation is integrated several times until is all integrals Then the equivalent circuit is wired tegrators and the voltage to find out how iLOAD = 'INPUT and no derivatives. using in- Fig. 11-19 waveforms are graphed the equation behaves. A voltage-to-current converter numbers and the on a sheet of paper that must be calibrated and converted into numbers. the calculations produce hard results are not Differential equations are problems that involve lots of variables changing simultaneously. For example, an analog computer simulating the flight of a rocket would have to take into account that the rocket is going faster and faster every second the engine is accelerating the rocket. The engine burns fuel so quickly that the rocket is becoming is lighter lighter, the and lighter. Because the rocket engine becomes more and more effi- All of the in this section great wavy lines mathematical operations described can be done by digital circuits to precision. As digital circuits become cheaper and cheaper, it is quite possible that analog mathematical circuits will become obsolete. But while the digital circuits have become better and cheaper, so have the analog integrated circuits. At present it appears that analog mathematical circuits will continue to be used in simple applications where the rest of the circuitry is analog and only one or two calculations must be beam, this field is generated by a ramp-shaped current waveform passing through the coil. The voltage across the coil is incidental to the process. It is the current that is doing the steering. One made. way /. The Voltage-To-Current Converter to produce a ramp-shaped current is to start with a ramp-shaped voltage and convert it to a ramp-shaped current waveform. will Occasionally there is a need for a circuit that convert a voltage to a proportional amount of Deflection coils are inductive and generally have capacitance and resistance as well. The might be converted the op-amp equi- is ideal for jamming ramp waveforms through the yoke. No matter how the yoke impedance will try to distort the nice clean ramp shape, the op-amp current. For example, 3 volts to 3 amperes. This circuit voltage-to-current converter straight current is valent of the grounded-base or grounded-gate Remember how the input voltage amplifier. source was below ground and supplied the output The same principle is used here and if not take "no" for an answer and will see that ramp waveforms pass through the deflection yoke. will current? you have forgotten, look back perfect current at Fig. 7-6. 11-20 shows a hypothetical sweep am- Fig. In this circuit the feedback resistor and the input resistor, Rf and Rj n are also the load on the operational amplifier! Instead of the current go- plifier built from a voltage follower and a voltage- to-current converter. , ing to an external, separate load, the load current the current that passes through the feedback is and the input resistor. The intended load and the feedback element are one and the same. Notice that this circuit has no current gain whatever. However, it can have a very large resistor voltage gain if the load resistor (Rf) larger than the input resistor, Rj n . is much The point through the load be whatever comes through input resistor on way what the load The load can even be inductive or capacitive. The load will receive that same current whether it wants it or not! This circuit will jam current through the load no matter what wierd its might to zero volts, regardless of be. across the deflection coil to force the tion coil Rm An application for this might be the vertical and horizontal sweep amplifiers in the TV set in Fig. 11-17. Whenever steer the electron it is common practice to a coil that is the same cur- , and keep one end of the input resistor, at zero volts. were driven through a current step-up transformer. In that way, the op-amp would not have to supply so much current directly to the deflection coil These coils are mounted in a donut-shaped assembly called a deflection yoke. The yoke slips over the thin neck of the picture tube and is mounted just where the "bell" of the glass picture tube begins. The deflection coil has two pairs of coils; one for vertical deflection and another for horizontal deflection. Since it is the magnetic coils. field inside that As a practical note, the op-amps used for the voltage follower and converter would have to be high current ICs to drive a large deflection coil. Cheaper op-amps could be used if the deflection a picture tube has a screen beam with magnetic assume rent to flow through the inductance of the deflec- impedance characteristics the load may have. This circuit is a current source controlled by an input voltage. larger than 5 inches, Let's is . of this circuit is that the current will ramp generated by the circuit in Fig. 11-16. This voltage ramp generator is not able to supply enough current to drive a deflection yoke for a big picture tube. Therefore, the current is first amplified by a voltage follower to the level needed without changing the perfect voltage ramp waveform. Then the voltage ramp is applied to the voltage-to-current converter input, Rj n The current through the resistor is alway proportional to the voltage output of the voltage follower because the current is always flowing to zero volts. By means of negative feedback, the second op-amp will put whatever voltage is needed voltage deflection coil. There are also techniques in which the current and power capability of an op-amp can be boosted by wiring an additional transistor amplifier stage onto the op-amp output. The feedback loop is still maintained as if this additional stage were part of the integrated circuit. steering the electron 189 A vload V|N VOLTAGE RAMP WAVEFORM t V|N iLOAD LOW IMPEDANCE VOLTAGE RAMP ACROSS R|N CURRENT RAMP WAVEFORM /777 t L R DEFLECTION COIL vVW^' LOAD RlN ZERO VOLTS HIGH CURRENT GAIN OCCURS 'LOAD HERE VOLTAGE-TO-CURRENT CONVERTER HAS NO Fig. 11-20 CURRENT GAIN sweep amplifier which converts voltage ramps to current ramps A for driving a deflection coil. you have a chance, you should look at a TV book and study some of the sweep circuits used in older TVs. You will find that the whole sweep generating process for each ramp waveform is done with just three or four tubes or a the individual circuit modules are so easy and If cheap to build, modern equipment remains comby using more and more simple modules to accomplish more and more complicated tasks! repair plicated QUESTIONS: handful of transistors. In order to live with the inductance of the deflection coil and the imperfections of the tubes or transistors, the sweep circuits usually have a confusing tangle of inductors, transformers, resistors, and capacitors surrounding each tube or transistor. Each component seems to be busy compensating for the shortcomings of the other parts. The result is an orchestra of distorted waveforms that somehow all come together in the deflection yoke to pro- 1. Modern Each do for circuit design like the just discussed circuit is much more module does what in a precise for the operational 2. What is an active frequency 3. What is a 4. op-amp design it is the inverting amplifier configura- adding cir- cuit? straightforward. way with very few is used tion duce the perfect ramp-shaped current needed to produce an undistorted TV picture. we Why supposed to The need Bode filter? plot? A high pass filter like the one Fig. 11-4 is used to separate two close audio frequencies. The filter does not attenuate the unwanted frequency enough even though the cut-off frequency is properly located for a maximum attenuation. How can the filter be made sharper so that the unwanted frequency is eliminated? parts. compensating components and careful alignis largely gone. Modern circuits based on in- 5. If active filters like the ones in Fig. 11-4 are ment built with voltage gain greater than 2 or 3 tegrated circuits are not only easier to design, they are easier to fix. Modern circuits have not in these circuits they tend to oscillate. yet liberated every application from these problems, but the trend is well established. Now that ble? What makes 190 is make What three factors self-oscillation possi- there about the design that oscillation unlikely? 6. 7. How can low pass and high pass combined to make a notch filter? How filters be 17. can low pass and high pass filters be to make a band pass filter? What makes a logarithmic amplifier log- 18. arithmic? 9. voltage Suppose you were going to build a circuit that would calculate instantaneous milesper-gallon for your car. A small DC generator driven by the speedometer cable 20. A fuel flow meter produces a DC voltage proportional to the gallons per hour flowing into the engine. Draw a gallons/hour gallons is similar to the com- Back in Section 4, Fig. 4-5 showed an volt-ampere characteristic for a many op-amps as needed, sketch a circuit that will simulate this ideal bipolar transistor. cuit should using a multiplier IC: fuel flow configuration collector amplifier? bipolar transistor. Using as perform the following calculation miles configurations are similar to the grounded emitter amplifier? Which op- "ideal" miles-per-hour. miles/hour What op-amp amp mon proportional to speed current form through the complex impedance of 19. is and for a deflection coil are the deflection coil? input. produces a voltage that waveform shown in Fig.11-20. How did the op-amp "know" what this bizarre voltage waveform had to be in order to force a perfect ramp wave- Using op-amps, logarithmic and antilogarithmic amplifiers, draw a circuit that circuit to The waveform can raise a voltage to the third power. What simple change in this circuit could change the output to the cube root of the 10. the voltage-to-current converter and the inverting amplifier configuration have in common? What characteristics do the grounded base amplifier and the voltage-to-current converter have in common? combined 8. What do have a current gain Your of 100, cir- The output should act like a current source controlled by the input current. The input voltage can be any voltages that are convenient for you and the load can be located anywhere that is convenient. (Hint: The current delivered to the load resistor in many op-amp configurations is determined 11. How is by the size of the load resistor because the output of the op-amp acts like a voltage source and will supply all the current "asked for." integration related to differentia- tion? 12. 13. Why How a simple RC integrator inaccurate? does an op-amp integrator correct this inaccuracy? is Why are operational differentiators usual- ly impractical? 14. 15. Referring to Fig. 11-15, sketch a graph of the current flowing into the integrator. What two applications for integrators were described in the text? How could an integrator be used to count the number of short, equal voltage pulses occuring over a period of several seconds or minutes? 16. What is meant by the "solution" to a dif- ferential equation? 191 SECTION XII Power Supplies and Voltage Regulators Introduction A. The power directly to run electronic circuits available in the is rarely m DC voltages needed. Even in battery powered equipment, the batteries may start out with the correct voltages, but as the battery is used, the voltage gradually falls and the circuit performance falls with it. In this section we gulating methods are going to look at DC of re- voltage so that the circuits will always receive a constant voltage supply, re- what the actual source of the power is will also look at methods of converting gardless of doing. We voltages from high levels to low DC W voltages. Power supplies are not the most glamorous part of electronics, but every circuit has to have a power supply, so we may as well grit our teeth and learn about them. I have met engineers who think power supplies are so fascinating that they have made entire careers out of designing them. An Fig. 12-1 assortment of solid state voltage regulators. From their point of view, a TV or a radar set is just an excuse to use an exotic power supply. Per- B. Power Supply Design Goals Power supplies have many design goals. The power supply should provide a constant DC I can't get that excited about power supand you probably can't either. However, they aren't dull, and thanks to the new integrated circuit voltage regulator devices, fancy power supplies are no longer hard to understand and sonally, plies voltage with no noise or ripple.The voltage should remain constant even though the load current may vary widely. repair. The Much of what we are going to study, have already been introduced A regulators. Then and power supply should limiting capability so that, if have current a short circuit oc- few of the are going curs in the load or even in the power supply itself, the electronics in the load and the power supply parallel voltage be damaged as little as possible. Generally done in two ways. First, a fuse or a small circuit breaker usually protects the instrument as a whole. Second, the voltage regulator often con- to. principles will be entirely new. First to talk about simple series you we we'll discuss switching will power this is supplies and regulator methods based on exotic kinds of power transformers. 193 tains a current limiter circuit in addition to the voltage regulation function. The current limiter restricts the output current to the level the sup- C. ply can deliver safely. example Parallel Voltage Regulators Zener diode regulation of power supplies of parallel regulation. The idea is is an that a relatively high, unregulated DC voltage is divided down to a lower, regulated DC voltage by important that the power supply has no appreciable inductance or resistance as seen by the circuits it is powering. This is very important for high frequency, high current electronic loads such as radio transmitters. The output voltage signal from a transmitter final amplifier will be wasted across the power supply inductance and the output power will be dissipated uselessly in the supply internal resistance. It is also means of a resistive voltage divider. As you know, a voltage divider consists of two resistances which span the power source. The load is usually placed across the divider resistance that has one end grounded. In the case of a parallel grounded resistance element varies resistance in order to hold the voltage across the load constant. The zener diode is an example regulator, the its of the variable resistive element that is in parallel It is often desirable to electrically isolate the with the load. power source. No, I power cord. I mean isolating the load from the power source so that there is no voltage reference between the two. This is necessary whenever the output voltage has no reference to ground. In other words, electronics load from the don't mean snipping off the This circuit will do a good job of holding the load voltage constant at the zener voltage, provided that two circumstances remain true. First, the input neither the positive or negative voltage terminals are grounded. main voltage is also important as a leakage voltage from the power source (usually 120 volts AC) is not present on the cabinet or in the electronics circuitry where it might be a risk to the operator. it is AC usually important to make voltage drop across the dropping resistor, R^, exceeds the difference between the input voltage, V and the zener voltage, V z m . As we shall see in this chapter, heroic UNREGULATED DC VOLTAGE - V 2 both the dropping resistor and the zener diode. In a typical application, only one third of the energy used to accomplish these goals. vin Vin The zener regulator is a practical, simple voltage regulator system as long as the load requires only small currents or wasting power is not important. The zener regulator wastes power in very efficient so that very little heat needs to be dissipated by fans or heavy, finned aluminum heat sinks. (Rd) the power supply as small and lightweight as possible. In order to do this, the power supply must be efforts are V / Rd Vi VOUT (LOW RESISTANCE) IS A CONSTANT VOLTAGE AS LONG AS V|N > V Z ENER THE TWO ELEMENTS OF A RESISTIVE VOLTAGE DIVIDER ^ ^"v ZENER NETWORK^ RL DIODE CONDUCTS AT VZENER LOAD RESISTANCE ^> > IF LOAD DRAWS TOO MUCH CURRENT, THE VOLTAGE DROP Fig. 12-2 A re- in its zener (i) Finally, must remain higher than breakdown region. Second, the load must not draw so much current that the Isolation safety feature so the DC the zener voltage so that the zener diode will ACCROSS Rd WILL EXCEED V|N - Vz. AND REGULATION WILL WILL BE LOST zener diode regulator as an example of parallel voltage regulation. 194 UNRECULATED DC VOLTAGE ZENER DIODE SERVES AS A REFERENCE VOLTAGE FOR THE VOLTAGE FOLLOWER VOUT = V Z J RL LOAD RESISTANCE /777 NOTE HOW THE COMPLEMENTARY CLASS rm Fig. 12-3 An WITH ACTIVE op-amp voltage follower used as a voltage is "amplifying" a constant Rd, parallel regulator is to power regulator. DC reference voltage. The reference voltage comes from a zener diode, just like Fig. 12-2. But now the dropping resistor, sistances. replace the zener diode with a 2 RESISTIVE ELEMENTS drawn from the unregulated supply may go to the load while two thirds is burned up in these re- Another way to build a B OUTPUT IS SERVING AS A PARALLEL VOLTAGE REGULATOR is a very high resistance and the "load" on the zener diode transistor. is the op-amp input which draws essentially no current. Therefore, the zener diode This transistor would be turned part way on or response to the load voltage so that its behavior would be identical to the zener diode. Such a regulator can be made more efficient by replacing both the zener diode and the dropping resistor, Rd, with power transistors. By making both of these resistive elements variable, the resistance divider can be "tuned" for maximum reference circuit consumes little power. off in power in the resistance divider. Fig. amplifier voltage 12-3 demonstrates voltage regulator. follower As you a complementary class B transistor you follow the course of the majority of the input current which eventually goes to the load, it is going to get there by means of a voltage divider consisting of two resistive resistances— the "dropping resistor" is the resistance of Qi and R lt and the "parallel resistor" consists of Q2 and R2. In this example both the dropping resistance and the parallel resistance are active and vary to hold the load voltage cons- put stage how an operational can be used as a recall, the voltage both resistors are active, the voltage divider can be "tuned" for maximum efficiency. For example, if Vj n dropped toward the desired load voltage, Qi can turn nearly full on while Q2 can turn nearly full off. This makes the divider as efficient as possible. Whereas, when one of the tant. Since follower will follow an input reference signal and the output will behave like a voltage source. That the output will attempt to provide all the cur- is, rent "asked for" of amplifying is amplifier. If and minimum power transfer of burned up to the load This op-amp circuit could be classified as a because the typical op-amp out- parallel regulator by the load resistance. Instead some interesting voltage signal, such as a Beetle record, here the voltage regulator 195 elements is fixed, the regulator is always stuck with that energy and heat dissipa- resistance cuit. Large op-amps capable of delivering amperes not as precise. In the parallel regulator, power is dissipated two resistive elements. The regulation can be more efficient by using the active transistor as the voltage dropping resistor and eliminating the For larger power supplies, parallel resistor. whenever the zener diode would have to dissipate more than a watt or two, the system generally used is the series regulator in which the active elein ment is in series Most of shown in Fig. cuit. with the load. In other words, the in which a neat all its own voltage divider cir- 12-1 are actually series regulators plastic or metal is contained in package that 12-5 in a the same series re- sembles an ordinary transistor. In Fig. 12-3 we showed a voltage follower amplifying a zener diode reference voltage. Fig. 12-4 shows a simple series regulator which is nothing more than an emitter follower transistor amplifier amplifying a zener diode reference cir- Vin)- UNREGULATED DC VOLTAGE POWER TRANSISTOR •PASS ELEMENT" S VARIABLE RESISTANCE REGULATED DC REFERENCE VOLTAGE »-CAPACITOR HELPS HOLD Vz VOUT - Vz - CONSTANT 0.6 VOLTS > v ZENER REFERENCE VOLTAGE Fig. 12-1 ^_ ~V EMITTER FOLLOWER Simple regulator is voltage. A bridge rectifier converts the AC to unregulated DC voltage. The difference between the regulated DC voltage and the unregulated DC voltage is selected by the designer to allow for the lowest AC line voltage that might be used with the power supply. Frequently supplies like this are designed to operate at levels as low as 90 or 100 volts AC. It is also important that increases in line voltage can also be tolerated without parts overheating. Supplies are often designed to tolerate 130 to 140 volts AC without overheating. the solid state regulator devices the complex circuitry little In Fig. shown used complete power supply. Notice how cleverly the emitter follower has been redrawn so that you would never recognize it as an emitter follower. Starting from the left, this power supply is intended to be powered directly from the household AC line, 120 volts AC. It contains a switch to turn it on. A fuse is used to prevent spectacular damage to all the currentcarrying parts in the event that some part of the power supply or the load were shorted. If the current drawn through the fuse is too high, the fuse will blow and the current to the rest of the circuit will be automatically turned off. This supply also uses a transformer to isolate the AC line from the load and to convert the AC voltage an AC voltage slightly higher than the desired regulated DC The Series Voltage Regulator load becomes part of learned that the emitter common. These op-amps are generally hybrid circuits that combine a small integrated circuit chip with power transistors in the same unit. The whole circuit is potted in plastic so that it looks and acts as if it were a single integrated circuit. D. we 1, but can have a large current gain. Functionally, this circuit behaves just like the voltage follower but is tion. of current are available, but are not yet In Section 7 follower has a voltage gain of about I /Vbe WILL BE GREATER THAN 0.6 VOLTS FOR A LARGE SILICON ^TRANSISTOR scries voltage regulator 196 FUSE BLOWS IF HIGH CURRENT DRAW EXCEEDS SAFE LIMIT- SERIES CAPACITORS HELP FILTER OUT HIGH REGULATOR FREQUENCY NOISE Rload, RADIO OR WHATEVER ONOFF ISOLATION AND SWITCH STEP-DOWN TRANSFORMER ~N^" BRIDGE RECTIFIER AND CAPACITOR FILTER Fig. 12-5 A complete AC power supply Current Limiter Circuits E. The fuse current limiter is crude since fuses usually respond slowly. In the event that the regulator output were shorted, it is quite likely that the pass transistor or some other part would fail before the fuse had time to respond. A fancier series regulator imum that is added to the pass when the power supply current than 1 SENSING RESISTOR is A ^^ is voltage lLOAD used to delivering more can safely handle. it The supply of CURENT an additional circuit transistor. reference diode, often another zener, detect LIMITING CIRCUIT / | would be equipped with a max- current limiter. This is CURRENT in Fig. 12-6 current limiter circuit regulator in Fig. 12-4. Rload shows a simple form added to the series The output current is made to pass through a current sensing resistor. This resistor preciably is a small value which will not ap- >^ the voltage regulation perforzener diode is wired between the base affect mance. A and the positive output voltage. Except for the small drop in voltage across the resistor R s these two components have no effect on the voltage regulation until too much current is drawn from VZ 2 - , Fig. 12-6 A rent limiter 19' 0.6 + lL MAX (Rs) series regulator with a simple cur- When this occurs, the sum of the voltage drop across the resistor, (iL x R s plus the base-to-emitter voltage becomes greater than the zener voltage. When the zener voltage (V Z2 is can be controlled with smaller currents and the zener diode references and resistors do not have to carry so much current. Second, the turn-on and turn-off currents for the pass transistor(s) are generated by two separate circuits. The pass transistor is turned on by a current source circuit made from a zener diode and a transistor, Q3. This circuit is a P-N-P emitter follower amplifier which provides a constant current to turn on the base of Q2. The "load" of the emitter follower is the fixed resistor, R c Because emitter followers have a voltage gain of 1, the voltage across R c will be whatever voltage is across the reference voltage, V zl Therefore, the current through R c will be a constant current. From the collector of Q3 this same constant current passes on to the base of Q2 to turn it on. If you get confused about which way positive current is flowing, just follow the arrowheads in the transistor symbols. the supply. ), ) exceeded, it begins to conduct current away from the base of the pass transistor. This steals base current and the transistor can not turn on more heavily. This limits the supply current to the level at which the zener voltage was exceeded. It is desirable to have R s as small as possible. Instead of a zener diode, a stabistor diode is often used. Fig. 12-7 . looks more like series regulators found out in the real world— complicated! The circuit uses the same basic principles used in Fig. 12-6, but the complexity improves the temperature stability and the degree of voltage regulation. First, the pass transistor has been replaced with two transistors, Qi and Q2 wired as a Darlington transistor. A Darlington pass transistor . Q5 STEALS BASE CURRENT FROM Q2 WHEN VOLTAGE ACROSS DARLINGTON PASS R s RISES ABOVE VBE- TRANSISTOR(S) "PREREGULATOR Rload rrn •DIFFERENCE AMPLIFIER" TURNS OFF Q1 and Q2 AS VOUT RISES ABOVE Vz2 Fig. 12-7 A complex scries regulator with a transistor current limit circuit. 198 A separate circuit is used to control the output voltage and generate base current to turn off Qi and Q2. This turn-off circuit does not effect Q2 until the output voltage is roughly the same or greater than the zener reference voltage, V z2 This zener voltage is usually about 1/2 of the desired output voltage. When the output voltage exceeds the zener reference voltage, it becomes Motorola LM109, LM209, and . Q4 ground through , it basically the LM309 regulators 5 volt regulator. The wider the temperature operating range and the heavier the current rating, the higher the price for each regulator. Operating at —55° C (67° F below zero) may not be impor- to turn on. Q4 all ating ranges. As current flows to begins to turn off Q 2 The exact voltage at which the output voltage is regulated can be adjusted by changing the current into the base of Q 4 This is done with the potentiometer R a dj- By dividing the control of the pass transistor into separate turn-on and turn-off circuits, the voltage regulation can be improved by a factor of 100 over the relatively crude possible for same But as you can see from the specifications, this regulator is available in two current ratings, 0.2 ampere, 1 ampere, and several different temperature operare tant in your . TV set, but tant in your space ship. it could be very impor- The metal case is design- ed to dissipate heat, so it is convenient to ground the metal case. Therefore, there are separate regulators designed for negative power supplies which have the positive side gounded to the case. Positive voltage regulators have the negative side connected to the case. . circuit in Fig. 12-4. When voltage regulators are used in any cirimportant that the wires between the regulator and the load be as short as possible. The inductance in the wires going from the voltage regulator to the load can be very significant. cuit, it is This circuit also has an improved current The current limiter consists of transistor Q5 and the current sensing resistor, R s The voltage drop sensing diode is the base-toemitter P-N junction of the transistor Q5. Whenever the voltage across the sensing resistor rises above about 0.6 volts, the transistor Q5 will turn on and steal base current away from the transistor Q 2 The sensing resistor can be smaller than that used in Fig. 12-6 because only the baseto-emitter junction voltage needs to be exceeded. A smaller current sensing resistor means that the voltage regulation will be more accurate and will consume less energy. This regulator circuit is complex, but if you think about the separate functions of each of the four parts, it will not seem so complicated. limiter system. . When is a serious problem in digital cirwhere binary numbers are being processed at high speed. For instance, suppose a large number of binary circuits turn on simultaneously to make "zeros." Altogether they will draw a large current pulse. If enough zeros come on at once, the combined pulse may be large enough to make the supply voltage momentarily drop to such a low voltage that a digital logic circuit may confuse a "one" with a "zero." This could cause the computer to make an error. If you have a charge card, you know what a hassle a computer error can cause. The small size of 3-terminal the wires. This cuits . F. Three Terminal Integrated Voltage Regu- you thought the circuit in Fig. 12-7 was complicated, just look at the innards of a typical integrated circuit voltage regulator in Fig. 12-8. As the name They power supply. Three terminal regulators can be used in difThey can regulate voltages larger than the nominal voltage by using a resistive voltage divider to produce a reference voltage equal to the actual regulator voltage. For example, a 5 volt 3-terminal regulator can be used to regulate 10 volts. The ten volt output is divided which have three exter- them right ferent ways. tegrated voltage regulators are integrated circuit nal leads connecting makes regulators large, centrally located, regulated implies, the three terminal in- series voltage regulators regulators to put voltage it practical on each circuit board where regulated voltage is needed. This gets rid of the long wires and is usually better than using one lators If the load draws large current pulses, a large voltage drop will occur across the inductance in to the outside world. packaged in transistor cases and resemble ordinary power transistors. They contain complex temperature compensation and current limiting circuitry. Three terminal regulators come in a wide variety of voltages and rated curare usually in half by a resistive divider so that the regulator has a 5 volt feedback signal. By making the resistive divider variable, the regulated output voltage can be varied over a large range. The designer picks out the type that will supply the need of his particular circuit. The rents. 199 LM109 LM209 LM309 MONOLITHIC POSITIVE THREE TERMINAL FIXED VOLTAGE REGULATOR • A for positive versatile easy regulator fixed POSITIVE as VOLTAGE REGULATOR application for logic + 5.0-volt regulator designed on on-card, local voltage systems. Current limiting and digital thermal shutdown are provided to make the units extremely rugged. In most applications only one external component, a capacitor, is required in conjunction with the LM109 Series devices. Even this component may be omitted if the power-supply filter is not located an appreciaable distance from the regulator. • High Maximum Output Current TO-3 type Package Over 200mA in TO-39 type Package. — Over 1.0 Ampere INPUT OUTPUT K SUFFIX METAL PACKAGE CASE 11-01 in (TO-3 TYPE) — (BOTTOM GROUND VIEW) • Minimum External Components Required OUTPUT 2 • Internal Short-Circuit Protection • Internal /T\ 'NPUT 1 ( Thermal Overload Protection ° C °) 3 S GROUND (BOTTOM VIEW) • Excellent Line and Load Transient Rejection H SUFFIX • Designed for METAL PACKAGE CASE 79 Use with Popular MDTL and MTTL Logic (TO-39) ORDERING INFORMATION Device LM109H CIRCUIT SCHEMATIC y t—« INPUT t Temperature Range Package = -55 = C lo +150'C Metal Can Tj -55 C LM109K Tj = LM209H Tj = -55°C lo + 150=C Metal Can Tj = -55°C lo +150 = C Metal Power LM209K LM309H LM309K = lo + 15(FC Tj = 0°C lo + 125°C Tj = 0=C lo +125°C Metal Power Metal Can Metal Power TYPICAL APPLICATION FIXED OUTPUT 5.0 V REGULATOR 'NPUT 2 LM109 C1* C2 39GROUND 0.22 uF 5V —t—'OUTPUT -o -REEQUIRED IF REGULATOR IS LOCATED AN APPRECIABLE DISTANCE FROM POWER SUPPLY FILTER. ALTHOUGH NO OUTPUT CAPACITOR IS NEEDED FOR STABILITY. IT DOES IMPROVE TRANSIENT RESPONSE. Fig. 12-8 Motorola 3-terminal integrated voltage regulator Another common use Because the 3-terminal regulator can be used to regulate the voltage across a load resistance, can also regulate the voltage across a gulators it will be fixed at a them for three terminal re- as control circuits for high In Fig. 12-11 a 0.2 ampere 5 volt regulator is shown controlling a 10 ampere pass transistor. Notice that this circuit has no current limiting capability for the large power transistor. A current limiting circuit like constant value. This current can then pass on to a load which needs to be driven by to use current series regulators. fixed resistor. Since the resistor is fixed, the current through the resistor is a current source. 200 LM109 5 5 VOLT REGULATOR VlN - 15 VlN ~ 10 1 >VOLTS ^VOUT 10 TRANSISTOR = 10 DC UNREGULATED 3(CASE) 10 VOLTS REGULATED 300 Q REFERENCE .22 M fd 300 Q A * A 3-terminal voltage regulator used to regulate voltage larger than the rated voltage. Fig. 12-9 G. Energy Gap Voltage Standards ference 3(CASE) RL iREG is an integrated circuit based on the tran- sistor circuit shown in Fig. 12-12. In this circuit, the transistor at the ^> X 5 •REG = Fig. 12-10 A cur- Sometimes the performance of a zener diode is not accurate enough for use in a precision power supply or as a voltage reference for a precision voltmeter. The energy gap re- ^> VOLT REGULATOR > if rent limiting were needed. or stabistor LM109 5 rrn VOLT VOLTAGE DROP ACROSS CURRENT SENSE RESISTOR V|N^>- x 3(CASE) the one in Fig. 12-6 would have to be added rrn 5 /TT7 3-terminal regulator used to control a heavy current series voltage regulator. Fig. 12-11 > 10 ufd (200 Ma) VOLTS 5 * Q LM109K 5 VOLT <>-*- AMPERES n y v/ UNREGULATED VOLTS AT UP TO POWER VOLTS 3-terminal regulator used as a cur- rent source. left, UNREGULATED VOLTAGE -> > SMALL BUT VERY CONSTANT AS A MATCHED CONSTANT f VOLTAGE (USUALLY MICROAMPERES) RESISTOR Vbe(i)SERVES v CURRENT. Rload VOLTAGE DROPPING * / 0.6 y ^ 02 VBE = VOLTS VOLTAGE REFERENCE FOR Q2 J AND Q2 ARE MADE SIMULTANEOUSLY THE SAME INTEGRATED Qi SO THEY ARE CLOSELY MATCHED. CIRCUIT, rm Fig. 12-12 Qi, is used as simple forward diode. The collector is shorted to the base so that all that remains is the base-emitter junction. The "diode" at the left is biased by current from the unregulated supply, through Rd- This develops a voltage across the base-to-emitter junction of about 0.6 volts. This voltage just barely turns on the second transistor, Q2. The current that flows through Q2 is very tiny, but very constant. When this constant Basic "energy gap' circuit 201 IN NOTE ENERGY GAP CIRCUIT AT TOP CENTER METAL CAN PACKAGE «^-ro9 NOTE: PIN CONNECTED TO CASE. 2 TOP VIEW LM113H 204 Fig. 12-13 circuit current is LM113 voltage reference integrated Corp. made by National Semiconductor passed through a fixed load resistor, a constant voltage. The reason this show up on the DC regulated output voltage. A designed to attenuate 120 low pass filter circuit is so special is that these transistors are Hz may both part of an integrated circuit and are extremely closely matched. The temperature and of these spikes because these filters the result is gain characteristics of the two transistors are virtually identical because they are manufactured simultaneously. This circuit causes the temperature dependent characteristics of the two transistors to cancel each other. The energy gap used to build the naenergy gap voltage reference diode. The basic energy gap circuit is located in the upper center of the diagram. The reference voltage provided by the basic circuit is amplified by separate turn-on and turn-off amplifiers which drive an output transistor, Q9. The result is a circuit that acts like an almost ideal tional circuit is semiconductor LM113 zener diode or stabistor with a breakdown of 1.22 volts over a wide range of temperature and voltage. It can handle from about 0.5 to 20 mA mA of current. It generates far less radio noise than zener diodes so it is also preferred for regulators in radio receivers. In short, this device is the world's most accurate and complicated zener diode. H. ripple that is not be very effective in getting rid have a great deal of inductive reactance and resistance at high frequencies. capacitors capacitance of filter decreases dramatically at the Also, actually high frequencies. The solution to this problem is to attenuate the high frequency spikes before the AC is rectified. The metal oxide varistor (MOV), is a semiconductor resistor made of zinc oxide semiconductor crystals. When the voltage across this specialized resistor becomes too high, the resistor breaks down and becomes quite a good conductor. The action of a varistor can be compared to a pair of zener diodes wired back-to-back in series. Whenever the AC voltage exceeds the breakdown voltage, in either the positive or negative direction, the varistor conducts and clips off the noise spike. The key is extremely fast and can noise spikes. across an AC The between the zener difference diodes and the varistor the varistor switches on clip varistor very short duration connected directly is voltage, usually across the second- ary of a transformer. Varistors The varistor is /. Switching Power Supplies 1. Introduction a semiconductor device used for clipping noise spikes off AC voltage. Heavy duty motors and relays can generate very large voltage spikes which are impressed on the AC power line voltage. These noise spikes have such a short duration and large amplitude that they often pass right through a power supply and Switching power supplies can achieve all of power supply design goals and still be lightweight and compact. The efficiency with which they transfer power to the load can be very the + TYPICAL 1 ductors do not dissipate any energy, the voltage can be changed without power dissipation. POSITIVE MOV BREAKDOWN VOLT-AMPERE CHARACTERISTIC Switching power supplies accomplish two basic tasks. First, they convert the voltage level from whatever the source may be to whatever is DC needed. Second, they regulate the output voltage. Both of these functions are accomplished in the same operation. In switching power sup- -200 + 200 VOLTS plies designed to operate from an source, the switching function the AC and isolate AC lines. may AC power also rectify the voltage output from the main NEGATIVE BREAKDOWN To appreciate why switching power supplies can be such a good deal, you need concrete examples of what it takes to replace one. Suppose you are a high-flying financial wizard and you wish to install a stock exchange computer terminal in your jet plane. The plane has a 28 volt DC power system and the computer terminal needs 5 volts DC at many amperes. There is a 23 volt difference between the average source volt age and the voltage you need. If you use a series regulator it will work fine, but over 80% of the power consumed will be burned up in the series pass transistors. This means that you will have to use huge heat sinks and fins to get rid of hundreds of watts of waste heat. -I MOV SYMBOL EQUIVALENT CIRCUIT SIMULATED WITH ZENER DIODES. ACTUALLY, ZENER DIODES ARE TOO SLOW TO DO THE JOB. VARISTORS ARE MADE BY GENERAL ELECTRIC CORPORATION. 12-14 Fig. and volt-ampere symbol, Varistor diagram. 90% high, over in real power supplies are power supplies. These Another design approach would be to convert DC to AC by means of chopper transistors, then pass the AC current through a the 28 volts efficient because, unlike the series voltage regulators, these supplies do not use a resistance to lower the unregulated voltage transformer to reduce the voltage regulated voltage level. Instead, the unregulated DC voltage is chopped into AC. The AC current is passed through an inductor or vicinity of 5 volts. transformer to change the voltage but to the level. Since tified and Of filtered to make DC. in- it VOUT BREAKDOWN VOLTAGE VlN^ 1 170 V-P A 1 \ J / , h i \ • i ^ 120 VOLTS AC RMS >V0UT FILTER AND REGULATOR NOISE y ov TO RECTIFER, + > c BREAKDOWN VOLTAGE Fig. 12-15 Varistor noise spike clipping action 203 to the do this would probably have to be more complex to cuit similar to Fig. 9-7 could be used to V|N + down AC must be recA DC inverter cir- course, the work At reliably in this application. The pulse width modulator generates this point the the DC DC control pulses that turn the transistor switch on supply. and off. The width of the pulses generated by the modulator is determined by the negative feedback from the output voltage. As the output voltage begins to fall, the pulse width modulator output voltage is still not regulated, so you might use a series voltage regulator with a small voltage drop to produce the regulated 5 volts. The result is a fairly efficient, but cumbersome power makes the 2. A voltage-reducing switching power supply control pulses wider so that the tran- sistor switch will let wider current pulses into the inductor and capacitor. This will charge the stor- A age capacitor at a faster rate and the voltage across the capacitor will rise. If the output voltage rises too high, the pulse width modulator will make narrower pulses so that the storage capacitor is not charged at such a rapid rate. block diagram for a voltage-reducing switching power supply is shown in Fig. 12-16. The voltage is reduced and regulated with five basic circuit components: a switch, an inductor, a diode, a capacitor, and a pulse width modulator. First, the 28 volts DC is chopped into DC voltage The pulse width modulator principle resembles the SCR and TRIAC light dimmers in Section 5. Rather than dissipate the unwanted pulses by a transistor switch. These pulses drive current ramps through the inductor to the stor- age capacitor. The capacitor is large enough so that it serves as an energy reservoir and the voltage across the capacitor is voltage in a resistance, the current is let into the load in short pulses so that the time average of the transistor current delivers the desired energy. relatively cons- tant, even though it is being charged by a rapidly varying current. The regulation and switching is controlled by the pulse width modulator. This "component'* is itself a complicated circuit and is the brains of a switching power supply. In fact, SCR's serve as both the "switch'* and the some switching power supplies that rectifiers in are designed to operate directly from the power AC line. WIDTH OF PULSES IS PROPORTIONAL TO 5 VOLTS. VOUT PULSE WIDTH SWITCH CLOSED MODULATOR 5 DURING EACH PULSE + t VL OUTPUT VOLTAGE HELD CONSTANT BY CAPACITOR 28 VOUT I L 28 VOLTS I 5 INDUCTOR TRANSISTOR SWITCH + S "FREEWHEELING DIODE DIODE CONDUCTS WHENEVER SWITCH OPENS. VOLTS DC 4> yisms&s I VOLTS DC LARGE STORAGE CAPACITOR >> Rload CURRENT THROUGH INDUCTOR CHARGES CAPACITOR CURRENT RISES WHILE SWITCH IS CLOSED Fig 12-16 Diagram for VOLTAGE AT TOP OF DIODE MA/ DIODE CONDUCTS WHILE INDUCTOR DISCHARGES. a voltage-reducing switching power supply 204 Although the filter capacitor must be Think of the charged inductor as a battery ready to deliver current to the load. However, this "battery" must be properly wired to the load during the time when the switch is open. Since the current in an inductor cannot large, the inductor can be quite small because the that fre- quency of the pulses is usually very high, 20 kHz or higher. Very little inductance is needed to make the necessary reactance at 20 kHz. If the same circuit were operated at 60 Hz, the inductor would have to have a formidable chunk of trans- change instantly, we know that the inductor rent will continue to flow in the free its Let's think about what would happen if the wheeling diode were left out. When the switch opened, a huge voltage would appear across the inductor. This voltage will become as large as necessary to keep current flowing in the same direction as before. This voltage easily could be thousands of volts and could damage the switching transistor. If the voltage did not succeed in breaking down the transistor, it would find some other way to discharge itself. Inductors do not remain charged indefinitely in the way that charged capacitors are content to remain charged. In any case the energy stored in the inductor would have no way to pass into the load. The supply efficiency would be very poor and there would be no advantage over using a voltage dropping resistor instead of an inductor. Whenever a transistor has an inductive load, it is often necessary to use a diode to protect the transistor from the voltage that appears across the inductive load when the transistor shuts off. The class E amplifier circuit, Fig. 7-20, uses a diode in this manner. The diode between the top of the inductor and ground needs a careful explanation. This diode is often called a free wheeling diode. This refers to the rachet-like action of this diode which keeps the inductor current flowing in one direction into the load and capacitor. If you are normal, you we path. free wheeling diode didn't understand that explanation, so cur- direction as before. cuitry. The same But like any battery, both ends of this "battery" must be connected to the load to deliver current to it. The diode therefore connects the transistor switch end of the inductor to ground so that the charging current can complete former iron to maintain the reactance for such long half cycles. This principle of using high frequency to make inductors and transformers lighter is very wide spread. For example, electric railways can use 25 Hz AC current because there is no shortage of steel in an electric locomotive. In contrast 60 Hz is used for household AC systems since no one would want to pay for a 5 pound, 25 Hz transformer in their table radio. Weight is even more important on aircraft. Aircraft AC power systems use 400 Hz so that transformers and motors do not need so much iron. In some missiles 1400 Hz AC power is used to cut weight still more. The bad news about the use of the high switching frequency is that it can generate noise which can interfere with radio and computer cir- 3. is will try you know, the current through an inductor can not change instantly. This means that again: as when a constant voltage is applied to an inductor, the current through the inductor will rise slowly to produce a current ramp. In this case, when the transistor switch closes, the current through the 4. The pulse width modulator converts a voltage level into a series of pulses which have a width which is related to the original voltage inductor will rise slowly as the magnetic field of the inductor is charged with energy and the inductive reactance falls. If a resistor had been used instead of an Pulse width modulators This can be done with a voltage ramp generator and a comparator. The comparator has two inputs; the voltage ramp and the relatively constant "error signal" voltage level derived from the regulated output voltage. The "error signal" is a voltage that represents the difference between what the output voltage is and what we would like it to be. The comparator makes a pulse level. in- ductor, the energy lost across this impedance would be burned up as heat. The efficiency of the switching power supply comes from being able to use the energy stored in the magnetic field by delivering it to the capacitor and the load. The op- whenever the triangle shaped voltage portunity to use this stored energy arises when the switch opens and the inductor is left alone to discharge energy into the capacitor and load. than the error signal voltage level. is Since the larger ramp waveforms come to a point, the comparator output pulses become narrower and narrower as the 205 error signal voltage signal is the difference between the reference voltage and the actual supply voltage multiplied by the gain of the differential amplifier. The reference voltage and the differential amplifier gain are carefully chosen to locate the error signal becomes higher and higher. In other words, the pulse width is inversely pro- portional to the error voltage level. many ways to build a pulse width one example. This circuit is made from circuits you have studied in previous sections. The voltage ramp generator is the one we studied in the last section. The integrator capacitor shorting switch is controlled by a square wave so that the ramp signal is turned off 50% of the cycle. The square wave is generated by starting with a phase shift oscillator and making a square wave by feeding the sine wave into a comparator. As wired, the comparator makes a positive pulse whenever the sine wave goes below its zero point. We could have generated the square wave with an astable multivibrator, but the frequency would not have been as stable. There are modulator. Fig. 12-17 on the voltage ramp triangle. As the load draws current ranging from zero to the full rated amount, the error signal will travel smoothly down the ramp triangle and make wider pulses. is This circuit is a modulator because the is only 50% shall see shortly, switching system. pulse The output from the voltage ramp generator is the load is drawing little makes the or become drawing the as thin as hairs. maximum When allowable the load current, of the ramp circuit is available as an in- Silicon General Corporation used in Fig. 12-18. This par- two complementary half wave pulse width modulated pulse trains. So it may be used in both full wave and half-wave switching circuits. This power sup- is the ply has three features not error voltage signal will be very close to the bot- tom The ticular integrated circuit is able to generate no current, the error voltage signal will rise so high that the pulses the comparator generates will guess, a circuit as complex as a width modulator tegrated circuit. fed to a comparator to produce the final switch When pulse width width of each of the total cycle time. As we some kinds of switching power supplies use complementary pairs of half wave waveforms for driving a push-pull amplifier switching system. The result is a full wave pulse As you might control pulses. half-wave maximum shown earlier in Fig. 12-16. First, a Darlington transistor is used for high gain in the switch function. Second, the pulse width modulator also contains a current triangles to generate pulses as wide as possible. It is important that the error voltage never reach zero volts. Because if it did, the comparator would stop generating pulses and comparable limit circuit that is ones would just make one long, continuous turn-on signal. This would quickly burn up the switching we discussed series regulators. A series with the line transistorls). earlier in in function to the conjunction with sense resistor, 0.1 ohms is in from the 28 volt power supply. A The error signal is rather abstract. At pair of current sense leads look at the voltage across this resistor. If the current becomes too first high, the switching pulses are kept skinny to glance you would think that if this modulator were going to regulate a 5 volt power supply, then the voltage reference signal should be 5 volts DC. amount of current the switching transupplying to the inductor. restrict the sistor is seems reasonable that the regulation error what the supply voltage actually is and the 5 volts reference. But if this were so, the error voltage would be "zero" whenever the supply voltage equaled the reference voltage. We have already seen that zero will not work because the switching transistors would always turn full-on. It signal should be the difference between 5. Full wave switching power supplies We will illustrate full might be used to power a 500 watt radio mitter. This circuit When the system error signal can be waveform except ing is that there is regulating properly, the anywhere on the ramp will tasks: is say- 1. signal. he exaggerated by the gain of the differentia] amplifier. trans- accomplishes five different triangle at zero volts. What this must always be an error Moreover, the error signal wave switching power supplies by describing a supply designed to work directly off the AC power line. A supply like this The error 206 increases the average voltage level from 120 volts AC RMS to 300 volts DC. By using a step-up transformer, the same design could also lower the voltage. It v 20 kHz SINE WAVE REFERENCE VOLTAGE O +V CC PHASE SHIFT OSCILLATOR 20 kHz SQUARE WAVE VOLTAGE RAMP GENERATOR THE REFERENCE VOLTAGE AND DIFF. AMP. GAIN ARE CHOSEN TO PLACE THE ERROR VOLTAGE ON THE RAMP CORRECTLY. SUPPLY OUTPUT VOLTAGE / I ERROR VOLTAGE PULSE WIDTH Fig. 12-17 IS INVERSELY PROPORTIONAL TO THE ERROR VOLTAGE LEVEL AND DIRECTLY PROPORTIONAL TO THE OUTPUT CURRENT LEVEL. Half-wave pulse width modulator 207 It 2. When regulates the output voltage. all the current pulses pass through in one do in a half-wave system, then direction as they It rectifies 3. and It limits the 4. the filters AC the permanently magnetized iron in the core is unusable and is extra weight added to the power supply. With a full wave system, the current pulses generate magnetic flux in both directions and all the iron is remagnetized on every cycle. Since all the iron is generating useful magnetic fields, less weight of iron is needed. power. current from the supply to a level that can be delivered safely. It electrically isolates 5. the DC the power delivered AC power from line to the load. Thanks to the dual outputs of most pulse width modulator integrated circuits, full wave designs are easy to build. Each of these control pulse outputs produces pulses that are 180° out of phase with each other. In other words, only one output is producing a pulse at one time. In fact, there are logic circuits inside the IC that make certain that both pulses are never on at the same time. If they were to come on simultaneously, the switching transistors would energize both primary winding halves simultaneously. This would cancel out the inductance of the primary winding and the transistors would be shorted to ground. They would conduct huge currents and be de- + 28V z i 500 ^ i^AA0.1 Q 1 RETURN Fig. 12-18 A GND stroyed. power supply General SG2524 IC pulse width practical switching using the Silicon modulator. As was done series with the load senses the load current and converts this into a voltage. The modulator contains circuits that interpret the load current and "decide" when the power supply is delivering too This full wave power supply must seem like a Rube Goldberg machine. In spite of its complexity, this power supply can be built far smaller much and means on 60 Hz transformers transformer that can handle 20 watts at 60 Hz can often handle over 1000 watts when the AC frequency is raised to 20 kHz. A transformer is used in this circuit to raise the average voltage level. lighter than designs based and series regulators. in the half-wave circuit, the out- put voltage and current are sampled by means of a resistor network. A low resistance resistor in current. The output voltage is sampled by would not of a resistive voltage divider. It be practical to feed a 300 volt signal into a tiny integrated circuit, so the output voltage is scaled down by the resistance divider so that, say 2-1/2 volts represents 300 volts. A J. Isolated Power Supplies and the Photo- The full wave design also makes the transformer more efficient. By having the DC current pulses pass through the primary windings in two Isolator directions relative to the transformer, the trans- reference to ground or to other power sources. former core is demagnetized on each half cycle. Again, this allows less iron to be used in the example Isolated power sources have no electrical An power source would be a flashlight suspended from the ceiling by a dry cotton string. There is no way that electrical energy from the flashlight battery can reach people or circuits in the room unless a deliberate effort is made to connect two wires to the two bat- Any iron core becomes permanently magnetized to some degree whenever a DC pulse is passed through a winding around the core. Although some iron cores do this less than others, this problem is unavoidable. This characteristic of a residual, permanent magnetism in transformers is another example of hysteresis. transformer. of an isolated tery terminals. Notice that one wire will not be enough. Both wires must be connected in order to get power out of an isolated power source. 'JOS DC o Q< 2< z £y ozOh ^ U. Q. </) <75 UJ OC LU UJ I< I I CD I- I- I- v. 6) / o e, he -5 3 3 ft< Oi ft, 209 With an isolated power system, the bathroom power sockets are isolated from the rest of the CONVENTIONAL GROUNDED HOUSEHOLD house wiring with a transformer. The transformer does not change the voltage, it just eliminates the connection with ground. Now when the shaver falls into the bathtub, the shaver may still be shorted, but the current will have no interest in traveling to the grounded drain and the bather will not be seriously threatened. WIRING ISOLATION TRANSFORMER BUILT INTO WALL OF GROUND BATHROOM. REFERENCED AC CURRENT FLOWS THROUGH BATHER TO REACH GROUNDED DRAIN. 12-20 Fig. A danger of a ground referenced power supply. So what? Suppose that you are bathing your sweaty (salty) body in a bath tub. The tub has the usual ceramic construction with a grounded metal drain pipe at one end. Some careless person has left an electric shaver on a shelf over the bath tub. The shaver falls into the end of the tub opposite from the drain. The household AC power line is ground referenced. This means that the current will flow from the AC power line to any grounded object whenever a pathway is available. In the bathtub situation, the bather's body is the lowest resistance path between the shaver and the grounded metal drain. If enough of the AC current passes through the vicinity of the heart on its way to the drain, the bather will be electrocuted. A couple hundred microamperes of AC through a healthy adult heart is all that is re- NOW WHEN SHAVER FALLS INTO TUB. SHAVER MAY BE SHORTED BY WATER. BUT NO CURRENT FLOWS TO GROUND. Fig. 12-21 is power system in which the not referenced to ground. rooms are equipped with transformer to make AC power system for a struments of all kinds, especially test equipment and laboratory power supplies. In the laboratory, isolated power supplies can be put in series to make higher voltage sources. Either polarity of the supply output can be grounded without fear of ruining the power supply or having unexpected currents flow to ground. called fibrillation. This risk can be prevented by using an lated isolated For safety reasons, power supplies sometimes have isolated outputs. This is common in medical equipment and is found in quality in- quired to disrupt the orderly beating of the heart and kill the bather. This disruption of the rhyth- mic beating of the heart An bathroom AC current Some modern an isolation As we have seen, the isolation transformer is way to achieve this isolation. If the a simple iso- power supply uses a transformer is bath- voltage to change the then the transformer can accomplish both purposes. Unfortunately, the full wave power supply we just looked at not only has power this accident very unlikelv. 210 level, conduction band creating holes and conduction band electrons. The light falling on the base is equivalent to base current turning the transistor on. Sometimes the transistor base lead is brought out separately. Grounding the base lead through a base resistor helps the photo-transistor turn off promptly for better high frequency response. Optical isolators usually look like standard 8 pin integrated circuits. However, when the isolator is designed to tolerate thousands of volts across it, it is usually built as a short, round or square rod about as thick as a pencil and two or more centimeters long. a transformer, it also has two feedback signals, the output voltage and the output current. These signals must be communicated back to ground re- ferenced circuitry. If this feedback information were returned to ground referenced circuits by or- dinary wires, the isolation would be destroyed. These wires would make a low impedance connection to one side of the output and both output terminals would now have a definite voltage with respect to ground. Since both signals are voltages and not curdo not need to pass much current to rents, they communicate this information. If high resistances were placed in these feedback lines, say 10 million ohms, these resistors could not pass significant current and should not effect the isolation. The trouble with this idea is that if a large In the voltage were placed across these feedback resistors, the voltages seen by the modulator IC would change. And besides, using one wire to communicate a voltage level implies that there is a ground or some other return path for a voltage reference. To summarize, the feedback signal would become confused with the common mode voltage between the isolated output and ground. Isolating these feedback communicate voltage ference C is so that they signals levels with no ground re- not a trivial problem. PHOTOTRANSISTOR LIGHT Si LIGHT EMITTING DIODE S B Fig. 12-22 K. Optical isolator A way to isolate electronic is to use an optical devices are usually These electronic made from knocked out of the valence AC Voltage Transformers voltage regulating transformers: the ferroresonant transformer and the paraformer. Neither of these two devices is easy to understand, but at least try to get the general idea. are built with the base exposed so that light can alter the conductivity of the base semiconductor. Electrons are Constant regulate the voltage, they limit the AC current. They are not used verv often, so we will keep this discussion brief. There are two major types of the photo-transistor. Photo-transistors are usual- They application, the are AC a light emitting diode and a bipolar photo-transistor. These components are usually mounted at the ends of a short plastic tube so that the photo-transistor can "see" the LED. When a small current passes through the LED, it lights and the light turns on ly bipolar silicon transistors. wave power supply isolators The only significant voltage regulation techniques we have not covered are the constant voltage transformers. These are highly modified transformers which can vary the coupling between primary and secondary to hold the secondary AC voltage constant. They not only signals completely isolator. full used to transfer analog voltage and current information from the output back to the ground referenced pulse width modulator. This implies that the photo-transistor must be operating as a class A linear amplifier. Even if the photo-transistor end of the light connection happens to be linear, we know that the light emitting diode does not have a linear voltampere characteristic. So it is no surprise that analog information will be distorted when it is passed through the optical isolator. Additional circuitry must be used to correct or calibrate the distortion. If the analog information can be transmitted by the light in the form of on-off signals, such as pulse width modulation, then the non-linearity will not be a problem. One way of doing this is to use pulse width modulators which turn the light on and off in pulses which have a width proportional to the voltage level being transmitted. An op-amp RC integrator can convert the pulse width modulation back to an analog signal. optical band and into the 211 ->• LOAD CURRENT REGULATED AC VOLTAGE » > UNREGULATED AC > PRIMARY VOLTS AC, 120 uzuj u. ^zZs O^< u5o _i u. SECONDARY 5 = oc a WINDING > MAGNETIC SHUNT ALLOWS SOME FLUX NOT THIS WINDING GENERATES FLUX WHICH APPOSES PRIMARY FLUX TO LINK PRIMARY WITH SECONDARY CAPACITOR DRAWS A LARGE CURRENT Fig. 12-23 Ferrore sonant AC voltage regulating transformer Ferro-re sonant transformers are heavier than conventional power transformers designed for the same frequency, and it takes them two or more sine wave voltage. A compensating winding uses output current as negative feedback to turn down the magnetic flux from the primary winding. cycles to react to transients in line When any significant works in the usual way. Magnetic flux generated by the primary winding travels around the iron core where it in- voltage or load. Nevertheless, they provide excellent voltage regulation. Less than 2% varia- operating without regulation, the transformer from 100 to 130 volts input voltage is Although much heavier, the AC output from this transformer can be rectified and used as a substitute for a high power, isolated, switching power supply. The ferro-resonant power supply design is far less complicated than an equivalent switching design. tion typical. duces a similar AC voltage in the secondary winding. The magnetic shunt in the middle of the transformer core enables some of the flux from either the primary or secondary to "take a short cut" and avoid going through the opposite winding. This shunt has an air gap which produces enough magnetic resistance (reluctance) to the flux so that not all the flux will be shorted out by the shunt. If the shunt were solid and had no air gap. nearly all the flux from either winding would take that path and it would be impossible to transfer power from the primary to the second- The general idea behind the ferro-resonant transformer is that the magnetic coupling between the primary winding and the secondary /finding is variable and is controlled by feedback and by saturating the iron core. As more voltage applied to the primary winding, the coupling between the secondary is reduced so that the secondary AC voltage will remain constant. The ferro-resonant transformer in Fig. 1L'-'J3 uses two different ways of varying the magnetic coupling. A so-called resonant winding saturates the secondary side of the core and reduces the secondary is ary. The so-called resonant winding on the second- ary side has a capacitor across it so that a large current will flow in this winding. Usually this winding 2 1 is not resonant, but just draws a large FLUX PATHS INTERFERE AT THE 4 CORNERS WHERE THE CORES JOIN "C" CORES MOUNTED 90° 2 NOTE THAT THERE NO MUTUAL FLUX LINKAGE BETWEEN THE CORES IS EACH OTHER SECONDARY OSCILLATING LC CIRCUIT > REGULATED AC VOLTAGE UNREGULATED AC VOLTAGE Fig. 12-24 former" AC current. This current generates a flux > Wanlass Electric Company which The paraformer voltage regulator invented by the Wanlass Electric Company is really different. This is a compact "transformer "that regulates its own voltage and limits its own current. Not only that, it acts like a "filter" and only allows pure sine wave voltage to appear on the paraformer secondary winding. The voltage waveform on the primary winding can be a square wave or a noisy sine wave but only pure sine waves appear on the secondary winding. This "transformer" makes RF filter capacitors or varistors unnecessary because noise cant get ap- poses the primary flux. The high current in this winding saturates or "uses up" the iron on the secondary side so that the primary flux finds less magnetic resistance by taking the path through the magnetic shunt. The more current that is drawn from the true secondary winding, the less current that is available for the resonant winding loop. This situation diverts more flux back into the secondary winding. The compensating winding is a second regulation component that reinforces the activity of the resonant loop winding. As through When it in either direction. The paraformer is made from two thick, "C" shaped iron cores. The cores are put together so that the end of each arm of the "C" is spanning the open end of the "C" of the other core. Primary and secondary windings are put on each core, but because of the weird core coupling, there is no mutual inductance between the primary and secondary windingsl Instead, the energy is coupled across from the primary to the secondary by a phenomenon that is not found in other transformers. The secondary inductance changes in response to the primary current. As current rises in the primary, flux from the primary enters the secondary side of the paraformer. This flux interferes with the flux from the secondary winding. Unlike a normal transformer, these flux flows are always competing for the same iron. This the primary voltage rises, the secondary voltage tends to rise too. "Para- voltage regulator this happens, the current to the load and this causes more current to flow through the compensating winding. The compensating winding is oriented on the primary side of the transformer so that it cancels out magnetic flux from the primary. In other words, the compensating winding is a form of negative feedback that turns off the primary if it starts to deliver too much energy to the secondary. The compensating winding is also a current limiting circuit. If the load tries to draw too much current, the compensating winding will partially cancel out the flux from the primary and shut off some of the coupling to the secondary winding until a balance between flux and current is reached. rises 213 QUESTIONS: reduces the inductance of the secondary. Since the energy stored in an inductor can not change instantly, decreasing the inductance means that any current flowing in the secondary must increase in order for the energy to remain constant. This surge of current is used to sustain an LC oscillation in the secondary 1. 2. The general idea is that the paraformer is a wave oscillator with an output AC voltage determined by the frequency of the oscillacapacitor is placed across the secondary winding. The inductance of the secondary forms an LC parallel resonant circuit with the capacitor. When the resonant frequency of the LC circuit matches a dominant frequency in the voltage on the primary, the secondary circuit oscillates. As long as the secondary winding is oscillating, the AC voltage across the secondary remains essentially constant and this is the AC that tion. many common goals of power A zener diode regulator is an example of of regulator design? what kind circuit. 3. sine List as supply design as you can. is 4. A Why zener diode regulators in power voltage regulation? What role do they often play in high power voltage regulators? aren't Fig. 12-2 used for high Why are series regulators more efficient than parallel regulators? 5. What transistor amplifier configuration most like an op-amp voltage follower? can these two circuits be used as voltage regulators? is How 6. voltage regulation. When an LC circuit oscillates, the voltage from the capacitor "charges*' the inductor with current. Then on the next half cycle, the inductor charges the capacitor with voltage. The amount of energy stored in the L and C must be equal. In any ordinary LC oscillation, the L is fixed. But in this circuit, the frequency is fixed by the frequency of the voltage on the primary. The amount of energy the capacitor can store is fixed for a cer- 7. A transistorized series regulator can be equipped with a current limiter circuit by adding just two components. What are these parts and what does each one do? is a 3-terminal regulator? Why are separate 3-terminal regulators made for What positive and negative voltage regula- tion? 8. tain maximum (peak) voltage across it. It turns out that the peak voltage across the capacitor is fixed by the frequency. The inductance adapts to provide current to the load and to deliver the fixed amount of energy to the capacitor. How can a three-terminal voltage regulator be used to build a current source? If you needed to build a current source to provide a large current, how would you decide what regulation voltage the 3-terminal device would have? 9. What is the relationship between power supply size and weight versus energy ef- ficiency? 10. As more and more current is drawn from the secondary winding by the load, the voltage remains constant until the oscillation quits When the oscillation quits, the secondary voltage vanishes and this is how the paraformer limits its own current. this. If All sine wave the load takes too the Zener diode? 1 1. oscillators are like much current out ot 1 the slops. There are so paraformers that they may become very popular in the future. Hopefully someone will invent a good way to explain them! oscillator, oscillation many advantages Why might an energy gap voltage reference be used instead of an ordinary to 2. What is What are the advantages of a switching power supply? What are some disadvantages? For example, what problem would you expect to have if you used a switching power supply in a radio receiver 21 J a varistor? 13. In the voltage-reducing switching power in Fig. 12-16, what is the purpose supply of the free-wheeling diode? 14. 15. What is Why are high frequencies like 20 a pulse width modulator? kHz usually used for switching power supplies? 16. 17. What makes up the error signal in a pulse width modulator for a switching power supply? In the pulse width modulator circuit in Fig. 12-17, the error signal can never be zero volts. pen 18. if it Why not? What would hap- did? What advantages does a full-wave supply like the one in Fig. 12-19 have over a half-wave switching supply like the one in Fig. 12-18? 19. In general, used what are photo-isolators for? 20. Why are power supplies in the laboratory often isolated from ground? 21. What is a ferro-resonant transformer? How does it limit the current that can be drawn from the transformer secondary? 22. Why is it misleading to refer to a paraformer as a "transformer?" What advantage(s) does a paraformer have that a ferro-resonant transformer does not have? 215 GLOSSARY This glossary of terms meaning reference to the with which you tionaries, AM analog circuit: A circuit that deals with a continuous range of voltages or currents. In contrast, digital or binary circuits deal with nonlinear, full on or full off circuits which are never part way on except while switching. may A An array of a large number of operational amplifiers which can be wired to analog computer: linear amplifier biased like a B amplifier that detects and amplifies radio signals. Since only one polarity of waveform the ready words differ active detector: class some not be familiar. These definifrom those of standard dicbut are more in line with shop usage. may tions a of the give to is of is amplified, the output signal simulate algebra or calculus equations. This linear calculation methods. It can not calculate using binary arithmetic or computer uses is rectified. digital logic active filter: A frequency filter made by analog switch: An integrated circuit that can turn analog signals on and off at very high speeds under the control of voltage pulses. Other than the switching action, the switch does not attenuate or distort the signal being porating an operational amplifier into a filter network so that desired frequencies are amplified while unwanted frequencies are attenuated. AF: Audio frequency, 20 Hz methods. incor- to about 20,000 controlled. Hz. AND AGC: Automatic gain control alloy transistors: A circuit: A logic or digital circuit that gives a high output signal in response to a certain number of simultaneous high input signals. bipolar transistor made by An electrode or element of an electronic device which normally has a positive voltage anode: diffusing dots of impurity into both sides of a semiconductor wafer to make the three layers, on P-N-P or N-P-N. it. An amplifier with an output equal to the anti-logarithm of the input. When used with logarithmic amplifiers, they are used to multiply, divide, take square roots and perform other mathematical operations on In bipolar transistors, alpha is a number that represents the fraction of the emitter current that is the collector current, a = lute- anti-logarithmic amplifier: alpha, a: in other words, the emitter current less the base current equals the collector current. voltages. alpha numeric display: Numbers or letters displayed by means of LED lights, liquid crystals, or gas discharge tubes. These are used in calculators, watches, gasoline pumps, etc. AM: Amplitude amplifier: voltage signal A argon: is Amplifier implies that it cannot astable multivibrator: coupled is A flip-flop or multivibra- remain long in either of its quasistable points, but switches back and forth in a square wave oscillation. tor that does not in- amplitude modulation: Impressing a relatively low frequency signal onto a radio frequency sine wave by varying the RF sine wave amplitude so it follows the low frequency signal. transformer which the LC tuning the increased. For example, a trans- former cannot amplify, because crease the power. A in accomplished on the input side of the amplifier instead of the output side. circuit that enlarges a current or power but ionizable, gas that is used and voltage regulator tubes. inert, Armstrong oscillator: sine wave oscillator modulation signal. An in thyratrons The basic unit of matter. Each kind of atom has a positively charged nucleus surrounded by a specific number of negatively atom: 217 charged electrons. audio amplifier (AF AMP): An amplifier designed to amplify frequencies between 20 and 20.000 Hz. Usually AF amplifiers are wide band amplifiers and amplify most or all of the frequencies in this band equally well. beat frequency is the intermediate frequency which is the difference between the local oscillator frequency and the radio signal fre- quency. beat frequency oscillator (BFO): used multiplication: breakdown A mechanism for of be decoded more thermally generated electron can atom so violently that it ionizes. This produces more holes and electrons strike in radio receivers to a a beta, crystal which ionizes more crystal atoms until the An oscillator modulate morse code signals with a musical tone so that they P-X junction voltage barriers in transistors and diodes. Because of the high voltage, difference in frequency be- tween two radio or audio signals being mixed together. In a superhetrodyne receiver, the automatic gain control (AGC): A circuit in a radio receiver or other instrument which tries to hold a signal at a relatively constant level. avalanche The beat frequency: A number ft: may easily. which is the current gain of a transistor. Current gain is the collector current divided by the base current. P-N barrier collapses. bias: avionics: The backward bias: A DC of its In diodes, a voltage is is is on the on the anode, and binary numbers: numbers. current cannot flow through the diode. balanced A operational amplifier: An bipolar: amplifier A are represented by the two different on and off. filter while attenuating all Having two pathways. In bipolar transmeans a 3 layer transistor. X-P-X or pathways are used. which is designed to pass a certain band or range of frequencies A system based on two In digital circuits these P-N-P, which conducts current through both type X and type P semiconductor using both holes and electrons. In other words, two volts. bandwidth: 0. istors, it from an operational amplifier which has zero volts on the output when the input is zero filter: A number and tunnel rectifier built bandpass 1 numbers states, backward diode: make placed across a diode so that the positive side cathode, the negative side voltage placed on an electronic deit operate in some desirable part volt-ampere characteristic. vice to electronics used in aircraft. circuits: A circuit which will remain turned on or turned off for indefinitely long other frequencies. bistable certain range or region of frequen- periods. Also, a tiro-state circuit. cies that a device or filter is able to process. This implies that frequencies outside the band width will not be amplified or passed. bar graph voltmeter: blanking pulse: m the tran- bridge in a A graph ol sets beam plot: A graph of circuit output versus frequency. Bode plots are used to describe the frequency response of filters, amplifiers, and other devices that must respond to some input. sistor base characteristic: sus base voltage TV Bode In bipolar transistors, the control element and central semiconductor layer pulse generated in to turn off the electron when the beam is returning to the beginning of a new scanning line or a new picture frame. This eliminates the unwanted retrace line. A voltmeter made from a column of lights. Each light is controlled by a separate comparator circuit. As the voltage being measured rises, each comparator threshold is exceeded in turn and the lights turn on one by one indicating the level of the voltage. base: A and oscilloscopes rectifier: Four diamond-shaped wave base current ver- for a bipolar transistor. rectification secondary center tap. 218 diodes arranged produces full without a transformer rectifier circuit that cadmium sulfide: Semiconductor material used to make photo-resistors. When light shines on these resistors, the resistance drops dramat- They are commonly used in automatic door openers and camera light meters. The element class of an electronic device at a which electrons enter the device. In normal operation the cathode has a negative voltage while the anode has a positive voltage. In vacuum tubes, the cathode is heated by a fila- ment An amplifier: D A amplifier: switch transistor amplifier used as generating pulses, for The relays, light, etcs. on or full when to cause electrons to leave the cathode class and enter the vacuum. E transistor but not full off, in A vacuum amplifier: used operated between except A very efficient, switch and sharply tuned The transistor is turned full on or full off. Resonant circuitry converts the current pulses to RF sine wave AC. tube which accelerates electrons from a cathode onto a phosphorescent screen for displaying pictures, maps, or graphs. Picture tube. controlling is switching. transistor or tube amplifier. cathode ray tube: sharply tuned efficient, transistor or tube amplifier biased so that the transistor is turned on for only a small fraction of the total sine wave cycle time. ically. cathode: C class like a is A diode or transistor circuit designed to conduct current when an input signal voltage exceeds or drops below some specified clipper circuit: In field effect transistors, the current channel: that being controlled passes through a piece of semiconductor called the is uniform level. The effect is to "clip off" the voltage waveform above or below that level. Also call- channel. An chopper: electronic switch that turns a ed a DC signal on and off rapidly to make an AC signal with an amplitude proportional to the DC level. They are used in DC-to-DC inverters and in chopper stabilized DC amplifiers. clamp circuit: A circuit CMOS: Complementary ductor field effect Metal Oxide Semicon- transistor integrated cir- A very energy efficient digital circuit design used in digital watches, calculators, etc. cuits. resembling a clipper Largest of the three semiconductor collector: that prevents a voltage from exceeding a limit. layers of a bipolar transistor. used to protect some devices, such as a power transistor that cannot tolerate voltage above a certain limit. Clamps slicer or limiter circuit. are often The collector gathers the majority carrier current from the emitter after it has passed through the base layer. A class An amplifier: untuned, linear transistor tube is point in the center of a linear portion of erating range. band some amplifiers are bipolar transistor op- turned wide C tuned it is supposed to be breakdown voltage (BV ce The collector-to-emitter voltage required to breakdown a bipolar transistor and make it pass current when it is supposed to be turned A tuned amplifier which has wide band linearity of a class A some of the efficiency of class B ): off. amplifiers. It is often used as an in- A sine wave oscillator which used a pi network consisting of two capacitors and one inductor as the feedback phase shift amplifier stage in transmitters not practical to retune the amplifier every time the frequency is shifted slightly. termediate where when off. collector-to-emitter amplifier: of the amplifier and or A small leakage cur- rent that flows from collector to emitter in a amplifiers. AB class Class its A collector cut-off current: which the transistor or biased to have its quiescent operating or tube amplifier in Colpitts oscillator: it is network. class B A amplifier: amplifier which linear transistor or tube common biased with its quiescent Usually clasc B amplifiers are made from pairs of transistors so that each transistor amplifies one polarity of the is point just at cut AC tor off. base amplifier: amplifier A basic bipolar transis- configuration which has high voltage gain but no current gain. That is, the output current essentially equals the input current. signal. 219 common A amplifier: collector basic conduction angle: When thyristors are used to control AC power, the thyristor can be made to turn on only during certain angles of the sine wave voltage waveform. The on-time angle is bipolar with high current gain and no voltage gain. The input voltage and output voltage are essentially the same. Also called an emitter follower amplifier. transistor common amplifier configuration A drain amplifier: basic FET called the conduction angle. conductor: amplifier configuration with high current gain but no voltage gain. Also called a source follower A gate amplifier: basic field effect tran- which has high sistor amplifier configuration rejection ratio: amplifier's differential to reject of a com- of flip-flops a divider. crystal: A between voltage: number by the common amplification gain. common mode counts pulses of current can be wired in series so that each flip-flop triggers the next in the series. The state of each flip-flop, on or off, records the number of input pulses counted in binary numbers. Also called voltages. It equals the gain of the differential amplifier divided mode A measure ability circuit that or voltage. For example, a base or grounded grid amplifiers. common mode A counter: voltage gain but no current gain. Analogous to mon mode a good electrical is constant voltage transformer: A ferro-resonant power transformer holds the AC voltage on its secondary winding(s) constant. The "paraformer" is a transformer-like device which also regulates the AC voltage on the secondary. emitter amplifier: A basic bipolar transistor amplifier configuration with high current gain and high voltage gain. common common material that voltage. amplifier. common A conductor allows electrons to travel through it. from atom to atom, with little application of Voltage that is common piece of quartz crystal two electrodes. mounted Electrically, bethis device resembles a high Q. LC filter network. In "crystal sets," the crystal is a piece of semi- to both inputs of a differential amplifier. conductor used to make a crude diode. common source amplifier: A field effect transis- tor amplifier with high current gain and high crystal oscillator: comparator: A circuit used to compare one voltage with another. When the voltage connected to the positive input is greater, the output voltage goes high. When the voltage connected to the negative input is greater, the output goes low. MOSFET complementary MOS (CMOS): A effect integrated circuit made from both P-channel and field FKTs. These sine wave oscillator which digital circuits Obsolete radio receiver constructed around a diode detector that is built from a semiconductor crystal such as galena and a metal contact whisker. Crystal sets were usually powered by the radio signal itself which was rectified and passed to a pair of sensitive ear- crystal set: phones. type of that is A very accurate current regulator built from a junction FET and a re- current regulator diode: N-channel use very tittle These devices hold the current passing through them constant over a wide range of sistor. power. complementary transistor amplifier: A voltage. transis- amplifier built from matched and P-N-P transistors. This amplifier can be operated class M without signal inverting transformers ^m\ is relatively inexpentor A uses a quartz crystal as part of the phase shift feedback path. voltage gain. push-pull VI'A current sensing resistor: A low resistance in which is used to sense or measure the current by monitoring the voltage drop across the resistance. series with a large current sive 220 current source: deliver the A circuit same current Theoretically load. or device that will a perfect A DIAC: into any resistance current source AC 5 layer for triggering power control device used It makes a pulse of cur- TRIACs. rent whenever a threshold voltage would force the constant amount of current through an infinite resistance— a practical im- in either direction. It is the P-N diodes is exceeded equivalent of 2 P-N- in inverse parallel. possibility. An differential amplifier: The attenuation or suppression of a wave oscillation by electrical resistance in damping: sine fies the difference amplifier that ampli- between two voltages. an oscillator or amplifier. Some differential outputs: differential amplifiers are equipped with two outputs, each of which represent the difference between the two input signals, but the outputs have opposite signs. Darlington transistor: A way of wiring two or more transistors together so that the resulting circuit will act like a single, super high gain transistor. differentiator: DC amplifier: An amplifier that can amplify electronic circuit which pro- proportional to is how fast a current or voltage is changing. This con- and slowly changing input voltages. cept is These DC-to-DC inverter: A circuit used for converting a DC voltage level to another, higher or lower DC DC An duces a voltage which DC voltage. It can also be used to produce a basic to the mathematics of calculus. circuits are basically high pass filters. A diffusion transistor: transistor which is made by diffusing impurities into a semiconductor wafer in layers. The diffusion is controlled by masks. These are also called planar transistors. voltage of opposite polarity. plates: Electrodes in some cathode ray tubes which steer the electron beam and control its point of impact on the phosphor deflection digital A circuit: with screen. full circuit on and full works entirely bistable circuits. that off Digital circuits never use continuous ranges of deflection yoke: An assembly of four coils mounted around the neck of ray tubes. The yoke steers the is and controls phor screen. its which voltages or currents as in analog circuits. larger cathode electron beam computer: A programmable calculating circuit that performs all operations using binary numbers in bistable circuits. digital point of impact on the phos- When thyristors are used to control power, the thyristor can be made to delay turning on for a variable amount of time during each half cycle of the sine wave half cycle. This delay is measured in degrees of angle. delay angle: diode: AC MOSFET: A MOS dipping the C detector: A circuit used for is ter- to The procedure maximum of tuning a class efficiency using an measure the average DC collector current. direct coupled amplifier: A transistor amplifier connected to other amplifier stages by resistors or wires so that DC current can pass from one stage to the next. The significance is that these amplifiers can amplify DC voltage which zero. demodulating the final: amplifier for ammeter field effect on when the gate to source voltage two electrodes or minals. transistor that uses both depletion and enhancement mechanisms to turn the transistor on and off. These transistors are turned half electronic device that allows electric electronic device with demodulation: Extraction of information which has been encoded onto an RF radio signal. depletion type An current to flow in only one direction. More generally, "diode" can refer to any non-linear in- formation impressed on radio signals. Detector is a general word and can mean a detector for AM, FM, PWM, or other kinds of radio modulation. The word can also mean frequency conversion in a superhetrodyne receiver. is or current levels. distortion: Changes in a signal that ferent from the original signal. 221 make it dif- A divider circuit: from a series of the number counter flip-flops, circuit, usually energy gap voltage standard: An integrated circuit which serves as a precision voltage reference and resembles a zener diode in the made each of which divides of pulses into it by two. way The addition doping: atoms of used. it is of impurity into One of the two terminals at the ends of the current channel in a field effect transistor. The drain is the end of the channel at which the drain: majority carriers leave the channel. A epitaxial transistors: sistors in The percent cycle: field effect uses only the enhancement mode to induce majority current carriers into the channel. Whenever there is no gate voltage, the transistor is turned off. that transistor holes or electrons into the crystal structure. duty MOSFET: MOS enhancement-type a semiconductor crystal in order to introduce process for making tran- which gases containing silicon and impurities are exposed to a wafer of silicon so of time that a circuit is that layers of semiconductor are turned on. grown on the surface of the silicon wafer. characteristics: The response an amplifier of to fast AC signals. These characteristics do not include the DC biasing, dymanic amplifier leakage, maximum DC difference in voltage between should what a voltage be and what it actually is. Often the error voltage just represents this current or other static parameters. difference. electric deflection: Use of voltage waveforms on deflection electrodes to steer the electron in a The error voltage: A family of curves: beam acteristics for group of volt-ampere char- a how device that shows cathode ray tube. trolled The negatively charged atomic that makes up electrical currents. electron: A by some variable, such as base current, grid voltage, etc. particle stream of electrons passing through a vacuum tube. "Beam" other or the device can be con- ferro-resonant transformer: electron beam: tube, transistor, A sophisticated transformer that regulates the voltage on own secondary winding(s). implies that AC its the electrons are focused into a tight ray or FET: stream. An assembly of anodes and a cathcathode ray tube that accelerates a beam of electrons toward the phosphor screen. Electron guns are also found in TV camera tubes and X-ray tubes. fibrillation: in a field effect transistor, istor made from FET: A monopolar trans- a single piece of semiconduc- The current passing through channel can be turned on and off by an electric field generated by a control gate located on or around the channel. tor, The smaller two outer layers of a bipolar transistor which is built from 3 layers of N and P semiconductor. The layer where ma- emitter: field effect transistor. The disruption of the orderly beating of the heart by an electric shock. electron gun: ode See of the the channel. this jority carriers enter the transistor. filament: emitter follower amplifier: A vacuum basic bipolar transistor amplifier configuration with high current A resistance heater in a light bulb or it heats the cathode tube. In tubes, which releases electrons into the vacuum. gain and unity voltage gain. Also called a com- mon collector amplifier. final amplifier: The last amplifier in a string of amplifiers in series. emitter resistor by-pass capacitor: A capacitor placed across an emitter resistor so that the biasing effect of the emitter resistor will not be affected by (he short term changes of the signal being amplified. The output transmitter, stereo, or other amplifier in a power generating circuit. AC Another name for a mixer superhetrodyne receiver. first detector: in a 2-2 -2 circuit A flip-flop: multivibrator. A gain-bandwidth product: A measure of amplifier frequency response. In amplifiers, the product of the frequency times the gain at that frequency tends to be constant. pair of transistors or other amplifiers wired with positive feed- back so that when one transistor turns on, the other is turned off. These bistable circuits can be used as square wave oscillators, memory elements, and counters. FM: gallium arsenide: A semiconductor material used in light emitting diodes, Gunn diodes, and tun- Frequency modulation nel diodes. forward bias: In diodes, a voltage placed across a diode so that the more positive side is on the anode and the current is free to flow through the diode. In transistors, a voltage on the base or gate that turns the transistor on. forward offset amount voltage: of voltage that used germanium: times used A getter: zero. of A free wheeling diode: control terminal of a silicon controlled rectifier or field effect transistor. In P-N diodes, the must be applied across would be semiconductor material in light emitting diodes. The gate: a diode in the forward direction in order for the diode to begin to conduct current. In ideal diodes, this offset A gallium phosphide: A semiconductor to make material some- transistors and diodes. silvery deposit of metal on the inside vacuum tubes. This metal reacts with residual traces of air and helps to preserve the diode used in a voltage reducing switching power supply to allow the inductor current to flow continuously into the vacuum. grid: load. A frequency converter: A circuit that generates a signal of a certain frequency in response to the presence of another frequency signal. In superhetrodyne receivers, the radio signal is "converted" to a common "intermediate frequency" signal with the original modulation transferred to the new, intermediate frequency. vacuum tube is a meshplaced between the cathode and control grid in a like structure the anode. Small voltages on the grid can control the stream of electrons passing from the cathode to the anode. grown transistors: A transistor which is made by slowly pulling a crystal out of a molten semiconductor while impurities are added to the melt to provide the proper layers. frequency modulation: Impressing a low frequency signal onto a radio frequency sine wave by varying the RF sine wave frequency back and forth so that the frequency change follows the low frequency signal. wave diode: A semiconductor device with a negative resistance characteristic that occurs at high voltages. Gunn diodes can be used to generate high power microwave signals. Gunn A bridge or double rectifier circuit that passes current to the load during both positive and negative halves of the voltage cycle. full rectifier: function generator: A half-wave current AC waveforms of various types. Sine waves, pulses, square waves, and triangle A rectifier circuit in allowed to flow only during 1 which 2 of the cycle. Hartley oscillator: A sine wave oscillator which uses a pi network consisting of two inductors and one capacitor in the feedback phase shift network. test instrument that gen- erates voltage or current rectifier: is waveforms are typical "functions" generated. A large mass of metal or other maclamped to an electronic device, such as a power transistor, to keep the temperature of heat sink: gain: Amplification. The number of times that voltage, power, or current are increased terial by an the device constant. amplifier. 223 A is a poor conductor of have no free conduction band electrons or valence band holes. These energy bands are so far apart in insulators, that holes and electrons are not easily created. Hf e The current gain of a bipolar transistor. One of the four "h parameters" used to make a insulator: : material that electricity. Insulators simple model of a transistor for calculating values for transistor circuits. In audio amplifiers, this means frequency response is linear over the entire audio spectrum. high fidelity: A missing electron of an atom. A in the on A circuit that sums a current or voltage over time so that the final level reached represents the total quantity of current or the total effective time that voltage was applied to the circuit. This concept is basic to the mathematics of calculus. Integrators are basically low pass filters. valence energy by a makes it possible from atom to atom. hole can be filled intermediate Schottky diode. A rectifying diode formed by depositing a metal anode on an N-type or pure semiconductor. The electrons moving across the Schottky junction move faster than in P-N diodes and are said to be "hotter." hot carrier diode: built integrator: traveling electron and this for electrons to travel even a computer a single wafer of silicon semiconductor. cies. band entire circuit such as an amplifier, flip-flop, or high pass filter: A frequency filter which passes high frequencies and attenuates low frequen- holes: An integrated circuit: A dyne radio frequency (IF): RF a superhetro- In is converted intermediate frequency so that it may be amplified many times without tuning each amplifier stage for each frequency receiv- to a receiver, the signal common ed. impedance: The resistance and reactance inside a circuit element. This impedance limits the amount of current that can flow into or out of the circuit element. internal hysteresis: short of The property of lagging or falling some expected level in the response of circuit. In Schmitt triggers the lag is a voltage threshold that must be overcome be- a semiconductor: intrinsic fore the circuit will respond. In transformers, the iron core becomes partly permanently magnetized whenever the transformer is energized. Before the flux can change to the opposite direction, the permanent magnetism must be overcome. Intermediate frequency as in semiconductor A circuit that reverses the polarity or sense of a signal. In digital electronics, an inverter converts a high voltage "one" to a low voltage "zero," or vice versa. In analog circuits in inverting a signal means dividing the signal inverter: into one; IF: Pure crystal with no impurity added. e.g., 4 volts verter can also superhetrodyne mean become 1 4 volt. An ina power supply circuit DC voltage to AC DC voltage level. that converts receivers. some other An unwanted radio signal that can appear in an intermediate frequency amplifier strip, if the incoming signal is not tuned selectively enough before mixing. voltage or to image: inverting amplifier input: Positive voltages applied to the inverting input of a differential amplifier will cause the output voltage to go down The electrical entrance or port at which a signal to be processed enters a circuit. input: input impedance: The input of a circuit. isolated a voltage A power output supply which with no ground reference. impedance of the This impedance is the load on internal In amplifiers, the degree to which the output is kept separate from the input so there can be no unintentional feedback. In power systems, isolation means removing any reference to ground from a voltage source. isolation: the circuit delivering current or voltage to the input. It there is no inductance or capacitance, input impedance power supply: supplies may be called input resist- ance 224 A transformer: isolation moves the ground from an AC transformer that An RF oscillator used to generate a signal which can be beat against (combined with or mixed with) an incoming radio local oscillator: re- or other voltage reference voltage. signal so that the radio signal can be converted JFET: Junction to the intermediate frequency in a superhetro- field effect transistor dyne Josephson junction devices: A thyristor-like device which operates at very low temperatures. They switch super fast and efficiently and are expected to become important in computers in receiver. An amplifier with an output voltage equal to the logarithm of the input voltage. Logarithmic amplifiers are usually made from one or more operational amplifiers logarithmic amplifier: the future. and a P-N diode provides the logarithmic charjunction capacitance: store an electric parable to capacitors. This fact vantage acteristic. P-N junctions are able to charge in a manner comwhich are voltage in varactors A logic circuit: used to ad- is only circuit that a specified combination of input signals are present. Logic circuits are used to vari- able capacitors. recognize events or circumstances and take appropriate action. junction field effect transistor (JFET): effect transistor A field which uses a back biased P-N low pass filter: A circuit that is designed to let low frequency signals and DC pass through unimpeded while high frequency signals are attenuated or eliminated. In power supplies, a filter that removes AC ripple and noise from junction formed against the channel semicon- ductor as a control gate. A small unwanted current that passes through a circuit element such as a diode, transistor, transformer, or other compo- leakage current: DC voltage. The use beam magnetic deflection: nent. to steer the electron LED: A LED: limiter: mon for a clamp or clipper pere . An adjective characteristic cir- meaning that the volt-amof a device as plots pedance of the a straight line on a graph. In math, an equation is linear if it contains the independent variable memory main power only and plotsas a straight could not contain X 3 vX. etc. in the first line. It Any age or current from some other circuit resistive, capacitive The load is is on or A bistable circuit that can full off indefinitely. Since it re- can tion. circuit that receives volt- to be a load impedance. circuit: full load. be set in either state at will, one bistable circuit can be used to record one binary bit of informa- , load impedance: The current carrier most comdoped semiconductor. Holes are the in a matched impedance: When a voltage source is delivering power to a load, the most power (but not necessarily the most energy) will be transferred to the load when the impedance inside the voltage source is matched to the im- cuit. linear: larger picture majority carrier in a P-type semiconductor. Electrons are the majority carrier in a N-type semiconductor. colored alpha-numeric displays. Another name in majority carrier: P-N junction diode which gives off light when current passes through it in the forward direction. LEDs are usually made from gallium arsenide or gallium phosphide. They are used as colored lights and make of deflection coils tubes. Light emitting diode light emitting diode, to produces an output when said mercury vapor: usually An ionizable gas used in thyra- ton tubes. but can also have an inductive or component as is commonly seen microwave: Extremely high frequency radio waves. Any radio wave above roughly 1000 megahertz. in antennas, loudspeakers, motors, or other loads driven by amplifiers or power supplies. 225 mon in a particular A neon bulb: carrier least comdoped semiconductor. Elec- The current minority carrier: two light bulb consisting of elec- trodes in a glass envelope containing a small amount of neon gas. In electronics, neon bulbs are the minority carrier in a P-type semiconductor. Holes are the minority carrier in a N-type semiconductor. trons are used as pilot lights and as voltage triggered current pulse generators to turn on thyristors. mixer: A combining the incoming circuit for RF with the local oscillator signal in a superhetrodyne receiver. The purpose is to generate an intermediate frequency signal for signal NMOS: A Having one pathway. In field effect non-inverting amplifier: transistors, the current being controlled passes vibrator. multivibrator: A fixed length A one shot non-inverting An amplifier in which when amplifier Positive input: volt- in a positive direction. pulse. MOSFET: for digital circuits. ages applied to this input of a differential amplifier will cause the output voltage to go up of a response to a short trigger in ex- the input current or voltage increases. multi- makes long pulses circuit that made MOS field effect tran- the output current or voltage increases through type-N or type-P semiconductor, but not both, i.e.. one pathway. monostable Used primarily sistors. amplification. monopolar: type of integrated circuit clusively from N-channel Metal semiconductor field field effect transistor which oxide effect transistor. A non-linear: multiplier circuit: number times A circuit that multiplies Analog another. An adjective meaning that a device or mathematical function has a characteristic uses a gate built like a capacitor with a layer of silicon oxide (glass) insulator between the metal gate and the channel. that does not plot in a straight line when plot- ted on a graph. one notch filter: A frequency filter that attenuates one frequency while letting all others above multipliers multiply voltages or currents. Digital multimultiply binary numbers using arith- and below it pass. pliers metic methods. A multivibrator: flip-flop. A N-P-N pair of transistors or other amplifiers wired with feedback so that when one transistor turns on, the other is transistor: bipolar transistor made - ductor in the pattern "'N-P-N.' The collector biased positive in N-P-N transistors. turn- ed off. These bistable circuits are used as square wave oscillators, counters, and as memory elements. is N-type semiconductor: Pure semiconductor which has had impurity atoms added to in- N-channel FET: A field effect transistor with the current carrying channel made out of an N-type semiconductor. The drain is biased positive in N-channel FETs. troduce electrons into the crystalline structure. N-type impurities have valences of +5. one-shot negative feedback: A from 3 layers of N-type and P-type semicon- Using a signal from the out- multivibrator: A circuit that makes long pulses of fixed length in response to a short trigger pulse. Also called a monostable put of an amplifier to cancel or attenuate the input signal so that the output signal is multivibrator. decreased. OP- AMP: negative resistance: \ property of tunnel diodes, (iunn diodes, and certain other tube and transistor circuits amplifier^ which is useful in oscillators and operational adder: A circuit used for adding two voltages together made with operational \^ voltage increases, the current th Ugh the resistance decreases instead of inceasing as n normal resistors . Operational amplifier amplifiers. j 226 A complex transistor amattempts to achieve infinite voltage gain, zero output impedance, infinite input impedance and other attributes of a perfect amplifier. Op-amps are used in much the same way as individual transistors and can be used in practically any circuit that does not involve high RF frequencies. A circuit designed to capture and hold the highest voltage of a signal waveform reached during a time interval. It could also be a circuit that switches on at the occurrence of a peak detector: operational amplifier: which plifier peak voltage, but does not actually save the peak voltages. A vacuum pentode: tube with five electrodes. These are usually arranged concentrically from circuit: A logic (digital) circuit that gives a high output signal in response to a high input signal on any one of a number of input lines. control grid, screen grid, suppressor gird, and A circuit that generates an AC signal with no outside pattern to amplify. In contrast, an amplifier can generate an AC signal only by amplifying a signal provided by some "perfect" diodes, or other circuit elements: A fictional circuit element with no imperfections. A way to explain what the circuit element is OR the center in the following order: the cathode, the plate or anode. oscillator: supposed to do without getting bogged down other circuit. in explaining all of its short-comings. An oscilloscope: which instrument displays phase shift oscillator: A sine wave oscillator which is usually built from a class A inverting linear amplifier which drives a 180° phase shift network. The phase shifted signal is fed back voltage waveforms on a screen. The display is usually a graph of voltage or current versus time. output: The to the amplifier input as positive feedback. electrical exit or delivery port at which a signal that has been processed is sent on to the load or next stage of the circuit. photo-conductor: A semiconductor device that changes its conductivity or resistance in re- output impedance: The internal impedance of the output of a circuit or voltage source. This impedance is in series with the load impedance sponse to photo-isolator: and power is best transferred to the load when load impedance is matched to output impedance. If there is no inductance or capacitance, this may be called output resistance. A paraformer: AC transformer-like device that voltage by secondary winding. gulates means parallel voltage regulator: light. A device made from which a photo-transistor is re- photo-resistor: of an oscillating A semiconductor device usually made from cadmium sulfide that resistance when light falls on it. A a light bulb used to transmit information by light beam from one voltage level to another with no electrical connection between the two circuits. and decreases its voltage regulator system which uses a dynamic resistance, such as a zener diode, in parallel with the load and a fixed resistor in series with the load. The two resistances form a variable voltage divider to A bipolar transistor with the base exposed to light so that light can create current carriers in the semiconductor and turn photo-transistor: the transistor on. hold load voltage constant. Pierce oscillator: pass transistor: The dynamic resistance in a series voltage regulator that varies its resistance to hold the load voltage constant. A sine wave oscillator which uses a quartz crystal as part of the feedback phase shift network. P-channel FET: A field effect transistor with the current carrying channel made out of P-type semiconductor. The drain is biased negative in P-channel FETs. piezo-electric effect: Trapped ions in a rigid cry- produce a voltage across the crystal when it is bent. This phenomenon is used in quartz crystal frequency filters. stal 227 PIN A diode designed A name used vacuum tube. plate: for PMOS: A is made for the positive anode two transistors PWM: in a A A packet of energy of light or other electromagnetic energy released during the change of energy state of an electron. quiescent point: The operating point of a transistor or other device when it is not processing a signal. The resting voltage and current of a device in a particular circuit. four semiconductor layer radio frequency amplifier switch used to trigger thyristors. This device turns full on and stays on whenever a certain voltage threshold is exceeded. The point contact transistor: now obsolete. ductor, the base, A An ampli- in this range. coupled amplifier: An AC amplifier in which each amplifier stage is separated from preceeding and following stages by a high-pass RC form of earliest (RF AMP): designed to amplify signals with frequencies between about 20 kHz and thousands of megahertz. Usually RF amplifiers are tuned and amplify a narrow band or single frequency fier P-N-P transistor: A bipolar transistor made from three layers of N-type and P-type semiconductor in the pattern "P-N-P." The collector is biased negative in P-N-P transistors. transistor, See pulse width modulator. quantum: conducts. diode: tran- pyrometer: A temperature measuring instrument consisting of a thermocouple and a sensitive galvanometer. P-N junction: A boundary in a diode or transistor where P-type semiconductor is joined to N-type semiconductor. The P-N junction is a diode and only conducts in one direction: P-N-P-N made from which each cycles. effect transistors. P amplifier or tubes in on during alternate half sine wave sistor turns type of integrated digital circuit which exclusively from P-channel MOS field positive to An push-pull amplifiers: use as a voltage RF amplitude in AGC circuits and other applications. It has three construction layers: P-type. mtrinsic, and TV-type semiconductors. diode: variable resistor for controlling RC piece of semicon- was contacted by two metal filter. Converting rectification: electrodes to form emitter and collector junc- rent pulses by means AC current to DC cur- of diodes. tions. rectifier: Using a signal from the out- positive feedback: put of an amplifier to reinforce the input signal so that the output signal is increased. precision diode: actly zero volts can be made with operational amplifiers. pre-regulator: some A An amplifier used in mic- rowave receivers which is installed at one end of a dead-end microwave waveguide pipe. Radio signals transmitted down the waveguide are "reflected" off the amplifier and made diode which rectifies at exand closely resembles an ideal diodes diode or circuit acting like a diode converting AC to DC. for reflectance amplifier: A Precision diode. A and used stronger in the progess. current source circuit used in A regenerative detector: series regulator circuits to generate the fier self-oscillating detector that detects AM ampli- radio signals and turn-on current for the pass transistor. amplifies them. semiconductor: A pure semiconductor which has has impurity added to introduce coupling, called regenerative coupling, the P-type By holes into the crystalline structure. P-type imhave a valence of +3. relaxation oscillator: A cir- begins to oscillate and modulates the received signal with an audible whistle. This is useful for receiving morse code signals. cuit purities pulse width modulator: increasing the feedback An oscillator made from a produces capacitor and an electronic switch such as a a pulse train with a duty cycle proportional to a voltage level, i.e., the higher the voltage, the P-N-P-N diode. The switch turns on and shorts out the capacitor every time the voltage across longer the pulses. the capacitor reaches circuit that 228 some threshold voltage. A reset trigger: pulse or input to a bistable SCR: cir- such as a flip-flop that resets the output voltage back to zero. If the output was already zero, the reset pulse will have no effect. See silicon controlled rectifier cuit AM second detector: Another name for the detector in a superhetrodyne receiver. The mixer is called The return of a scanning beam in a cathode ray tube to the beginning of a new scanning line or a new picture frame. If the electron beam is not blanked out, the retrace will produce an unwanted "retrace line" on the screen. retrace: RF: Radio frequency RFC or RF A choke: radio frequency choke. semiconductor: way be- sulator or conductor. An A heavily doped semiconductor maused to make a temperature measuring device. Unlike thermistors, these devices increase their resistance with increasing temper- inductor which presents a high impedance to DC current with little sensistor: terial resistance. An unwanted AC signal riding on the top voltage from a voltage supply. In full wave circuits, the ripple is usually 120 Hz. In half-wave rectifier circuits, ripple is 60 Hz. of a Materials that are half tween good conductors and good insulators. Semiconductors resemble insulators in that there are no holes or free electrons available for conduction. But the two energy bands are very close together so small amounts of energy can easily convert a semiconductor to either in- radio signals but passes ripple: the first detector. ature. DC The conditions area (SOA): safe operating i series voltage regulator: Voltage regulator of current and voltage that are within the maximum power dissipating capability of a tran- set trigger: such as a sistor or other device. sample and hold circuit: A command that sets the output voltage The semiconductor element most widely silicon: level is usual- used in transistors and integrated circuits. small capacitor until needed. (SCR): A thyristor power. This is a half used wave device that conducts current in only one direction. It has a gate or trigger lead which turns it on. silicon In transistors, the condition of hav- more magnetic saturation voltage rectifier AC The rate at which an analog circuit, such as an amplifier, can change its output slew rate: flux. V ce sa t): The controlled for controlling ing the transistor turned on as much as possible so that additional base current will not cause more collector current to flow. In transformers, the iron core is saturated when additional primary current will not induce the core to generate flip-flop, ger will have no effect. circuit that takes a from a control pulse. The voltage saturation: A pulse or input to a bistable circuit, high. If the output is already high, the set trig- voltage reading or voltage sample on ly stored in a which uses a transistor or other dynamic resistance in series with the load to hold the voltage across the load constant. voltage or current. lowest possible ( collector-to-emitter voltage of a bipolar transistor when fully slicer: Schmitt trigger: A comparator with positive feedback to give the circuit hysteresis. This gives the comparator different voltage thresholds for rising and falling voltages and results in good immunity from high frequency noise. Schottky diodes: A diode made metal anode onto a piece of semiconductor. These diodes capacitance and low forward Also called hot carrier diodes. A clipper circuit that "clips off" a voltage waveform when the input voltage exceeds falls below some threshold. turned on. SOA: Safe operating or area of a transistor or other device. A P-N junction silicon cell, silicon type: diode designed for generating electricity from solar sunlight. by depositing a N-type or pure have very low Circuits having only transsemiconductor diodes, and other devices solid state circuits: istors, offset voltage. which are not vacuum tubes. 229 switching speed: The rate at which an electronic switch can turn full on or full off. Switching speed is often defined as the time needed to go from less than I0 c"c on to 90 c "c on. or vice versa. In field effect transistors, one of the two ends of the current carrying channel. The source is the end where the majority carriers source: enter the transistor. source follower amplifier: A basic FET amplifier configuration with high current gain and unity voltage gain. That is, the output voltage equals the input voltage. Also called a drain amplifier. speed-up capacitor: A the center: the cathode, control grid, screen common grid, faster. A and the anode or plate. thermal runaway: Transistor gain increases with temperature and rising temperature can make a transistor turn more on. As the transistor turns more on, it heats itself and turns on still more. This process can cause the transistor to 'run away" and turn full on. transistor amplifier stages that makes the following stage switch stabistor: tube with four electrodes, usually arranged concentrically starting from capacitor across a cou- pling resistor between two A vacuum tetrode: voltage reference diode which is or more silicon P-N junction made from two diodes series. The voltage across the must exceed the combined forward in stabistor offset voltages of the diodes before it A thermistor: made from will con- temperature measuring a piece of semiconductor. device The re- sistivity of thermistors decreases dramatically duct. as the temperature increases. static amplifier characteristics: The behavior an amplifier over long periods as DC or slowly changing signals. it of A thermocouple: amplifies made by temperature measuring device joining two dissimilar metals and measuring the tiny voltage that appears across the junction. ode similar to a A P-N junction silicon divaractor which is used for fre- step recovery diodes: terminal voltage grated circuit voltage three quency multiplication. substrate: The semiconductor wafer three external that inte- leads regulator: regulator An inte- which has and usually physically resembles a transistor. grated circuits are built on. An AC power control tube that resembles a triode vacuum tube except that a superhetrodyne: Most common radio receiver design which converts the incoming radio signal to an intermediate frequency. Most amplification takes place at the intermediate frequency so that each amplifier stage doesn't need to be retuned every time a new station is thyratrons: thyratron contains small amounts of ionizable mercury vapor or argon. In function, thyratrons resemble silicon controlled gas, usually rectifiers. selected. thyristors: sweep circuit: A circuit that generates triangleshaped waveforms for steering electron beams across the screen of cathode ray tubes. switch: Any device, whether mechanical or elec- tronic, that turns electrical current on and A semiconductor AC power control Thyristors resemble transistors, but they are bistable and once turned on, they cannot be turned off until the current which is being controlled returns to zero. Types of thyris- device. tors are off. SCRs, TRIACS. P-N-P-N diodes, and DIACS switching power supply: A high efficiency power supply that changes voltage levels and regulates load voltage. The "switchers use inductors or transformers to change the voltage level. Feedback controls the energy content ot the current pulses passing through the inductors by means ot pulse width modulators A curve or an equation which explains how voltage or current, which transfer characteristic: is applied to the input of an amplifier or other circuit is related to the output. In bipolar transistors, it is a graph of base current versus col- lector current. 230 A transistor: solid state control device in which The number of electrons lost or gained by an atom during a chemical reaction. valence: a small current (or small voltage in field effect transistors) can control a large current. Except for the non-linear UJT, transistors can control current in either linear or non-linear applica- valve: tions. varactor: British word for vacuum tube. A P-N junction silicon diode designed use as a voltage variable capacitor. When diodes are back biased, their capacitance decreases with increasing back bias voltage. for TRF A receiver: radio Tuned Radio Frequency receiver stages of RF receiver. which has several tuned amplification prior to detection and conversion to the audio signal or sound. The disadvantage of this design is that each varistor RF stage must be retuned separately to tune in another station on another frequency. A TRIAC: thyristor used for controlling video amplifier: for amplifying AC SCR wide band amplifier designed TV picture signals. of the high gain drives the negative input terminal to the same voltage as the positive input. The impedance A between the two inputs is nearly infinite, but the two inputs act as though they were connected by a "short circuit." or a flip-flop. three electrodes. Starting from the center these electrodes are arranged concentrically. are a heated cathode, the control grid, VMOS: Oxide Semiconductor These are power transistors which have extra power dissipation capability due to vertical current flow down through the silicon wafer on which they are They and the tuned amplifier: An amplifier designed to amplify one frequency and attenuate all others. characteristic. It oscillators may Metal built. A high current gain, unity voltage gain amplifier made with an opera- voltage follower: tunnel diode: Heavily doped P-N junction diode with a negative resistance region in its volt- ampere Vertical field effect transistors. plate or anode. tional amplifier. be used to make and amplifiers. voltage regulator tube: tunnel Because of an operational amplifier, negative feedback The basic amplifying vacuum tube with triode: RF A virtual short circuit: voltage or current pulse used to change the state of a bistable device such as an semiconductor device used AC voltage. Also called metal oxide varistor. power. This is a full wave, non-linear device that can conduct current in both directions. It has a gate or trigger terminal that turns it on. trigger pulse: A (MOV): for clipping noise spikes off rectifier: A form of tunnel diode used to AC signals. The forward conduction voltage is zero volts. They are also called "backward diodes" because what is normally the forward offset voltage region, to = 0.6 tube-like de- an evacuated tube containing a small amount When the gas is conducting, the voltage across the tube remains constant. rectify very small volts, is A vacuum vice used for regulating voltage. It consists of of ionizable gas. used as the back bias region. voltage source: A circuit that is supposed to de- constant voltage across any resistance load. Theoretically, a perfect voltage source would hold a constant voltage across zero reliver a unijunction transistor (UJT): A switching transistor that resembles a JFET in construction and symbol. It is used and pulse generators. circuit oscillators unipolar transistors: vacuum tube: An sistance, a practical impossibility. in relaxation volt-ampere characteristic: A graph of the voltage across a device versus the current through the device showing its performance. Field effect transistors. electronic control device in which current flow across a vacuum ed by voltages on electrodes. is wave guide: A metal pipe used wave radio signals. controll- 231 to conduct micro- An inert, but ionizable, gas used in high intensity white lights, strobe lights, and Xenon: camera flashes. When a P-N diode is reverse biased with an increasing voltage, eventually a negative voltage, the zener voltage, is reached zener breakdown: at which the diode abruptly yields and allows If the cur- restricted, this is current to flow at the zener voltage. rent through the diode reversible zener diode: is and does not destroy the diode. A voltage reference diode made from a back biased P-N junction diode. The diode is specially doped to provide a calibrated zener breakdown voltage. zero crossing detector: tect when a voltage A circuit that can de- waveform passes through A comparator with one input connected to zero volts can be used this way. zero volts. •>;v> Answers SECTION 1. The atom has to Study Questions 5. I a dense, positively charged nucleus which is surrounded by shells, or layers of negatively charged electrons. For every positively charged proton in the nucleus, there is a negatively charged electron orbiting the nucleus. These electrons are held in orbit around the nucleus by the attraction between the positive and negative charges. The chemical and physical properties of atoms depend on the numbers The essential difference between insulators and semiconductors is that the insulators have a huge energy difference between the valence band and the conduction band. In a pure insulator the conduction band has no electrons for conduction and electrons can not readily rise from the filled valence band up to the conduction band. In a semiconductor it takes very little energy to raise electrons from the valence band up to the conduction band. This produces holes and elec- trons so that conduction can begin. of elec- trons present in orbit around the nucleus. One would expect Conduction band electrons and holes can be induced into a semiconductor by the application of heat or light energy. Another way is weight, silver colored, electrically conductive metal. It isn't used to make things in matrix. These impurities have valences of 5 or 3 so that when they combine with the 6. 2. lithium to be a metal because it has one electron orbiting outside the outermost filled shell. Lithium is a light- the everyday world because ly with water and is it to 7. 8. that the conduc- heated a few slightly Semiconductors are so useful because they can change their conductivity dramatically with small changes in energy input. Amorphous carbon behaves like a metallic conductor. All of the conductivity in band electrons have more energy. In order for a valence band electron to become a conduction band electron, the valence band electron must gain energy. However, it tion warm semiconductor may overlap. is the resistivity increases fore. electron shell around another atom. Another difference between valence band and con- true that in a an ordinary metal move faster and collide more often. When a semiconductor is heated equally, the resistance drops dramatically because electrons are forced out of the valence band and put into the conduction band. This produces opportunity for conduction in both bands where there had been little conduction be- Electrons in the conduction band are free to move around throughout the mass of material. In the valence band, electrons are locked into tight orbits around their atoms. They can move from atom to atom only by moving over into an opening or hole in another two energy crystal because the conduction band becomes more congested as the conduction band electrons it could either give away 4 electrons or accept 4 electrons. is When degrees, it were a typical semiconductor, one would expect it to have a valence of 4 so that is the tron or a hole, respectively. bet you thought of krypton as a green, glowing rock (its not). The outer shell of krypton is filled. Therefore, krypton is a chemically inert gas. Krypton is not a semiconductor, and one would not expect it to be I'll duction band electrons into of 4, there will either be one too one. If 4. impurities semiconductor atoms which have a valence many or one few electrons in crystal matrix. too the This will produce either a conduction band elec- reacts violent- about as strong as but- ter. 3. introduce amorphous carbon occurs in the conduction band. Heating the carbon does not bring extra conduction electrons up from the valence band. Therefore, subtle application of energy cannot convert amorphous carbon these levels 233 an insulator to a conductor thereby turn electricity on and off. from 9. In order for electrons to flow and 4. from the cathode to the viewing screen of a picture tube, there must be a positively charged accelerating anode to attract electrons Characteristics of the semiconductor diode which are not electrons are free to leave the cathode. Final- the cathode must be heated so that the conduction band electrons can be driven A forward resistance B. A forward offset voltage C. Zener breakdown D. Reverse leakage current E. Change ly, right off into the 10. The resistance When between the cathode and the cathode is 5. positively charged with respect to the anode there is with tem- F. Other discrepancies the next section. A. 120 B. 60 ohms C. 0.006 watts of power A. 30 watts of power B. 1.6 C. 0.033 will be discussed in ohms an absence of conduction electrons on the cathode. Even though the cathode is heated, there is no accelerating electrode with a positive charge to attract them away from the cathode. As a result, no current flows between the cathode 6. and anode. What we are describing is a vactube diode which only conducts in one 7. uum ohm left at 0.5 ohm Jones was the direction. amperes at 30 fired amperes because the two diodes on side of the diode bridge are shorted two halves of the transformer secondary. This means that during the half cycle of voltage when the diodes conduct, they will appear as "short circuits'' directly across the SECTION 1. characteristics in perature vacuum. anode of an electron tube decreases as the cathode is made hotter and hotter. This is because more and more electrons are kicked off the cathode as it becomes heated. 1 1 "perfect diode"' are: A. away from the negatively charged cathode. The picture tube must be evacuated so that the like the II Increased temperature generates electron- They draw huge hole pairs which increase conductivity. This across the transformer. decreases the forward resistance and increases the backward leakage as well. Since the forward resistance at a given current currents during this half cycle because there is only the small forward resistance to at- will tenuate the currents. If hundreds of amperes try to flow through diodes that are only rated for the heat from a few amperes, level is equal to the forward offset voltage divided by the current, a lower resistance must mean that the offset voltage is lower too. Manufacturers' data sheets confirm the diodes will literally burn up and be destroyed. this. 8. 2. It is possible that when tion 18 are destroyed, they will be, in effect, proportional to the cross-sectional area of the conductor. Since large diodes have more material, they also have a larger cross- cut out of the circuit. This would convert the circuit to a conventional full wave rectifier using a transformer center tap as shown in sectional area. Another Fig. 2-14. Provided the voltage from the transformer is correct for this circuit, it should work fine. It is possible, but very is that more material way offers to look at this is more hole-electron pairs for current to travel across the diode. unlikely, that the wire A. the diodes in ques- Conductivity through any conductive solid Both the relatively constant forward offset voltage and the zener voltage provide a constant voltage over a wide range of currents passing through the diode. between the trans- former center tap could have burned out before the diodes burned out. That would have converted the circuit to a conventional diode bridge rectifier like Fig. 2-15. 2;; i Jones is right. It will not burn up because the upper and lower pairs of diodes conduct in opposite directions. There is no way lor current to flow out of the secondary winding. On the other hand, it won't work either because both sides of the pseudo "bridge' just direct positive current to the 14. 10. Jones load. is TV AC that its signal has to be small enough so maximum negative peak voltage is less than the positive half of the switching square wave. Otherwise, when the two signals are added together during the "on" time period, the AC signal negative peaks would dip so low that they would be clipped off by the diode. This would distort the no way for negative current to get to the load. Saying it another way, there is no way for positive current to travel from one side of the secondary, through the load, and back to the opposite side of the secondary to complete the circuit. There The AC waveform by the diode because, when it waveform. The ON is not rectified is added to the sum of the part of the square wave, the two waveforms always positive with is re- spect to the diode cathode. commercial detector. VOUT 15. A. An LC tenuates, V - B. tuned circuit shorts out, atall but the desired radio signal. The detector the signal. This rectifies produces a series of DC pulses occuring at the radio frequency. C. An RC filter smooths the quency) pulses into a varies up and down DC RF (radio fre- voltage which at the audio frequen- cy. D. The 11. to 12. V|N headphones TV AUDIO VOLTAGE REGULAR PROGRAM r ^ >-*H BATTERY VOUT O ELECTRONIC SWITCH RESETS CAPACITOR TO ZERO AFTER -\ COMMERCIAL > > 235 DC the Vqut filter current sound energy. COMMERCIAL V|N 13. discharge capacitor and convert the COMMERCIAL EXCEEDS V THRESHOLD in- 16. AM An SECTION detector and diode frequency con- III verter are similar because: 1. They both A. rectify an AM modulated trons from passing through the diode until the electrons acquire enough energy (volt- radio signal. The outputs from both B. passed to filters age) to climb over the barrier. are rectifiers fre- AM barrier shown in a series with a "perfect" diode. The diode is back biased by the battery, so current could not flow even if the battery were quency. An The contains no energy. In the equivalent circuit shown in Fig. 3-1, the "battery " is itself which eliminate the radio signal and save the modulation The "battery" in a normal diode is the forward offset voltage barrier. It prevents elec- detector and diode frequency con- real. verter as used in a superhetrodyne differ because: A. 2. The modulation extracted by the AM forward offset voltage, 0.6 volts. This imseven P-N junctions in- placed on the signal by the broadcast station, not the receiver itself. In the frequency converter the modula- detector is tion is applied to the radio signal mixing the radio signal with a Since the stabistor diode is made from a stack of several P-N silicon diodes, we can assume that 4.2 volts is some multiple of the plies that there are side this stabistor. by 3. locally Stabistors, high voltage rectifiers, and the panel of silicon solar cells (Fig. generated radio sine wave. of silicon diodes in silicon solar cells and light emitting sist of a large B. In the which is while in AM series. modulation extracted is an audio frequency the frequency converter it is a detector, the 4. The purpose ward conduction produce in the silicon solar cells, the of the frequency converter superhetrodyne is to provide easy tuning for a receiver with several high local oscillator is In on the P-N junction raises electrons from the valence band on the P side up to the conduction band on the N side. These electrons are trapped there by the forward offset voltage barrier and therefore are available for use in an external circuit. ting the particular radio signal. The visible light. energy of visible light falling AM Q, sharply tuned, amplifiers. The detector does not participate in selec- 17. Both diodes are an application of the forward offset voltage barrier. In the case of LEDs, electrons falling off this barrier during for- radio frequency. C. 3-4) all con- number needed to beat with the incoming radio signal to produce a constant difference frequency which can be de- 5. tected by the "mixer" and amplified by a string of high gain amplifiers. The receiver is In order to have a reverse (zener) breakdown voltage in excess of 200 volts, several silicon diodes must be connected in series. The forward offset voltage is multiplied by the tuned by shifting the frequency of the number local oscillator. Since the difference frequen- cy that can be amplified by the IF amplifiers is constant, the radio frequency that can be received is shifted along with the local oscillator frequency. Some antenna tuning is needed to exclude signals that have the same difference frequency with respect to the local oscillator hut are above the local oscillator frequency instead ot below it. This tuning is not critical and some receivers just use tixed band pass tillers that do not have to he changed tor each station. 6. of P-N junctions present. The zener breakdown voltage in a zener diode is controlled by the amount of impurities added to the semiconductor. The higher the impurity concentration, the lower the zener breakdown voltage. 7. 236 The voltage regulator will use a 5 volt zener diode rated at greater than 2.27 watts, say 3 watts. The dropping resistor should be about 9 ohms. 8. When reverse biased, varactor diodes store charge in a way comparable The reverse voltage 13. barrier prevents con- 14. When varactors are used in tuned they are back biased with a DC voltage through a very high resistance. circuits, device that is discussed nonlinear could be used in this section SECTION IV could theoretically be used for this purpose. Varactors are especially good for this because they have low forward resistance and the capacitance stores energy over most 1. 10. PIN tion. tor; diodes are named resistance. quite high. for their construc2. N + semiconducused for voltage variable resistors and as high voltage rectifiers. 11. 12. a kind of By using the voltage across a itself, the In amplification the original signal is not increased in size. The original signal is used to a large stream of current to produce a new, larger signal 3. Zener diodes and tunnel diodes are both heavily doped so that the zener breakdown voltage is below what it would be if the diode were optimum for conventional ap- 5. down is controlled by a control a tube or transistor which modulates are Schottky barrier diodes are made from a metal anode bonded directly to a semiconductor cathode. The P-N junction results from metal atoms diffusing into the semiconductor forming a very small P region. These diodes have very low capacitance, high switching speed and a very low forward offset conduction voltage. plications. is output can be a large voltage controlled by a very small voltage. conductor, and a layer of They vacuum tube load resistor or across the device They have three layers of semiconduca layer of P-h a layer of intrinsic semi- tor. transistor or small voltage or current. Using these devices, a very small voltage or current can control a large current passing through the Energy is dissipated in the forward resistance for only a small fraction of is A variable resistor which of the cycle. the cycle so the efficiency a transition Tunnel diodes and Gunn diodes both have as a frequency multiplier. Therefore every device for rectifying very They have negative resistance over a part of their forward conduction volt-ampere characteristic. Tunnel diodes use very little energy and extremely low power supply voltage. Their principle drawback is that the output signal is very small, hundredths of a volt. Gunn diode oscillators can produce high power microwave pulses, but large power supplies and cooling equipment needed. The decision would probably be based on how much power was needed. and electrons in a P-N diode are very limited. As more and more voltage is applied, the amount of charge that can be stored, the capacitance, de- Any signals. diodes. capacitor, the holes 9. used rectifiers are AC between conduction and non-conduction at zero volts. They are used with the direction of the P-N junction reversed from normal duction, just as the dielectric prevents conduction in a capacitor. Charge is stored because electrons are pushed into holes in the P side of the junction and electrons are removed from the N side. Unlike the conduction band electrons in the metal plates of a creases. Tunnel small to capacitors. The which resembles the 3 kinds of gain are voltage gain, current gain, and power gain. The power gain can be large while the current gain if 4. original. the voltage gain When is is an amplifier amplifies the amplifier may output must be less than one very large. its own output, However, the partly in phase with oscillate. at least the input. A good switching transistor dissipates very power when it is turned on or turned little because the current is large when the voltage is small and vice versa. However, while the transistor is actually switching from on to off, the current and voltage are off Tunnel diodes have a zener breakbut their S-shaped for- of zero volts, both high simultaneously and the power disThe longer the time in- ward conduction characteristic includes a segment of negative resistance which allows them to be used as oscillators and reflec- sipation will be high. tance amplifiers. will terval required to switch, the 237 more heat that be dissipated during the interval. 6. When amplifying an analog signal like music, the amplifier output is a waveform which has a continuously changing amplitude. Since the transistor is rarely turned the way on or sipating power music signal 7. is the all way the entire off, time all it dis- as that the sible. For each control voltage (or control current) the vacuum tube pentode (or transistor) outputs behave like current sources because the output current flowing through the devices are independent of the power supply voltage and load over a wide operating range. This is an advantage because it makes the amplifier performance insensitive to changes in power supply voltage current from the emitter as pos- much Also, the emitter usually has more doping than the collector. This results in a low reverse breakdown voltage between the base and emitter. present. 12. Ie or the resistance of the load in series with much is it and of the collector emitter are quite different. The collector-tobase junction is usually large so that it can dissipate large amounts of heat and collect A current source is a device that delivers a constant current regardless of the voltage across The physical design 11. = Ic + lb- = <* Ir I, P = lb it. or load resistance. Divide the h = h + Ib Ic Ic one at 100 MHz should be two, because MHz, by the current gain (50 (2) MHz) = ft equation through by Ic . lb Ic ft ^- is + 1 Ic a ^-1 a = l ft The current gain definition. At 50 = first = 1 - — = a a — 1 a a a a a 100 MHz. 13. An ideal resistance would transistor when turned full have zero Since the on. resistance would be zero, the voltage across 9. The voltage across the load resistor will be it 180° out of phase with the voltage across is sum of these two must be small large. Since the same the transistor. Because the voltages Even though (V ce would be zero. ) would the col- no power dissipation lector current is large, result. constant, one whenever the other is current passes through both the load and the transistor collector-to-emitter, these cur- 14. The voltage across the transistor will be out of phase rents are obviously in phase. ther increases in collector current. with the current through the transistor because the collector to emitter resistance is changing while the load resistance is A saturated transistor is one that is turned on as much as possible. That is, further increases in base current will not produce fur- (nor- mally) fixed. 15. The that safe operating area of a transistor is area of the collector-to-emitter volt- ampere characteristic which can be used 10. Transistor gain results from a very thin base region which can be bridged by minority carriers when the proper control current is on the base. A "transistor" made by wiring two P-N junction diodes together would have no gain because there is no way to "turn on" the reversed collector to base without exceeding the power dissipation 16. An ohm meter maximum continuous for the transistor. can be used to check whether the two P-N junctions in a bipolar transistor are intact. This test does not tell you junction. This junction can be bypassed by wiring the collector to the base, but this is anything about the transistor gain, switching speed, breakdown voltages and a host not very useful. of other characteristics. 17. The best way to test a transistor to install is 9. which you want it in the particular circuit in it to operate, then test the circuit. sine wave that SECTION V 2. is superior to reattenuating AC current because a perfect switch does not dissipate any energy and therefore runs cool. for Thyristors sistors better are than bipolar tran- AC power because not damaged by reverse bias and for controlling they are they are either fully turned on or fully turned off. There is no situation where a thyristor remains half on and dissipates large amounts 3. 10. An SCR 5. the resistance The is it relaxation oscillator triggering circuits to build share the current is sudden pulse is 11. it is DC inverter are commonly used voltage to proportional to temperature, there thryristor will is a AC to DC converter. They to convert a low 1. DC DC DC makes the SCR in a DC circuit, the 2. to cathode current will eventually turn itself This is necessary because the SCR cannot be turned off by the gate once it has been triggered. off. trigger circuit which fires the by means A TRIAC can be triggered by positive and negative gate pulses that are applied to the same lead. With two separate SCR's wired in inverse parallel, the gate pulses for each must be electrically isolated from each other and therefore must be generated separately. FET gates control the of an anode gate polarity instead of a a is is of current virtually zero. transistor, the at least the forward drop, minimum P-N junction no matter how collector-to-emitter current may small the be. positive because "positive to P conducts" and so does "negative to N." An SCR With a bipolar voltage voltage SCR requires flow Since there are no functioning P-N junctions on the output side of a FET, there is no fixed minimum voltage drop across a P-N junction. The output voltage from drain to source can approach zero if the current is low. polarity. This is 8. relaxation firing angle through the output side of the transistor, just as bases do. In bipolar transistors the control variable is current. In an FET the control variable is voltage and the current must be designed so that the anode negative The fire. SECTION VI voltage. In order to use an An SCR what angle at exactly that flows into the gate 7. on. it up slowly and, because the leakage is oscillator therefore on. It has only An circuit the to independent of temperature. voltage from a battery up to a high voltage. Sometimes they also connect 6. of current sure to turn circuits allow the gate current no way to predict the not possible to turn it two states, full on and full off. Also, once the SCR is turned on, the gate loses control and cannot turn the anode-to-cathode current off. With a characteristic like this, the SCR cannot follow a randomly varying analog signal. way TRIAC can't be used as a Hi-Fi or analog amplifier because part if When thyristor gate which property of negative resistance. It is this property that makes thyristors suitable for building relaxation oscillators. 4. wave, Other control all terminals, the triggered before the peak of the sine deliver a of heat. Tunnel diodes and thyristors is being triggered by a phase with the sine wave going to be triggered at all. is very low, the TRIAC will conduct for nearly the complete 360 cycle. When the resistance is very high, the TRIAC will not trigger at all so the conduction angle will be 0°. At intermediate resistances the TRIAC conduction angle for both positive and negative half cycles will range between 90 ° and nearly 180 °, if it conducts at all. High speed switching sistance is in TRIAC across the must be 1. TRIAC Since the with a large gate current has a 3. volt- ampere characteristic that resembles a P-N JFET between the P-N juncno gate and channel. There are drain and the tions along the path between of makind one source. Since there is only The P-N junction in a is jority carrier in the channel, the unipolar device. silicon diode. 239 JFET is a 4. A simple, accurate 2 volt reference can be made with 7. and a precision resistor as You would probably connect the gate to the source with a depletion transistor so that it would be turned "half on." Connecting it to just a current regulator diode shown below. the drain would turn > 8. MOSFET it full produce much less do bipolar transistors. transistors electronic noise than mA CURRENT REGULATOR DIODE on. 2 UNREGULATED DC VOLTAGE 10 This noise would be heard as hiss or static in a sensitive radio receiver and using MOSFETs can reduce this. Dual gate MOSFETs > VOLT are ideal for receiver circuits that require VOLTS DC REGULATED 2 one signal to control the level of another signal or where one signal must be mixed with another signal. Three common applica- 1000Q 1* TOLERANCE tions are mixer, local oscillator, > 5. 6. * AGC and amplifier. of a MOSFET is insulated from the channel with a thin layer of glass. Since glass is an almost perfect insulator, the input resistance for a MOSFET is almost infinite. The gate of a JFET is a back-biased P-N diode and even the best diodes have at least 0.1 microampere of leakage current. Therefore the input impedance of a JFET is lower than that of a MOSFET. The gate 9. You will also the bias need two resistors to properly bipolar transistor. resistor will be necessary A turn-on to prevent the base from shunting too much current from the input signal to ground. Remember that a MOSFET gate draws almost no current and so it can be directly wired to the outputs of preceeding stages. In contrast, a base is a P-N diode shorted to ground. An enhancement MOSFET depletion redesigned MOSFET so that cannot replace a unless the circuit is the gate bias is ap- propriate. For example, when There is a family of bipolar logic circuits (DCTL) that the depletion tors gate is zero (Vg S = 0), the transistor is half turned on. When the enhancement gate voltage is zero, the transistor is turned off. of the directly couples bases to collec- preceeding stages. However, these circuits are run on very low voltage (1.5 volts) and have other severe restrictions. + SUPPLY LOAD RESISTANCE BASE CURRENT LIMITING RESISTOR 1 1 1 1 1 OUTPUT INPUT N-P-N t TURNOFF RESISTOR > HI 240 10. This question was deliberately misleading. Neither transistor is acting like a resistor and both are acting like inverters. The transistors clamp the output to ground or to the positive supply as appropriate. SECTION 1. VII The load resistance should equal the internal resistance of the voltage source for optimum transfer of power. This is true of any voltage source, including amplifiers. In batteries 11. A CMOS inverter draws is a small spike of curswitches from high to low or from low to high. It draws very little cur- rent whenever rent when it is the best way to get tery right now, but it timum method total quiescent. it power out may it of the bat- not be the op- for getting maximum the energy out of the battery in the long run. 12. The VMOS bottom transistor has its drain on the 2. of the silicon chip. This forces the current to flow vertically from top to bottom and therefore it must traverse a large volme of semiconductor. This disperses the heat while a conventional MOSFET confines the heat to the surface of the silicon. VMOS FETs would be awkward to print in an integrated circuit with other components because wiring would have to be attached to the bottom of the wafer. At present, IC's are manufactured entirely on one side of a sil- 3. Install a RL MOSFET device using the follow- Make sure that the circuit in which you intend to install a device is turned off. Touch a grounded chassis or bench with your hand. 4. Pick up the IC and remove protective foam. it from the one holding the Install the In the The disadvantage tection on a of collector (emitter is a portion of the input resistance. This is Rl increases the total input if we make Rl bigger, the transistor will be less likely to turn on so the transistor resistance device. circuit output resistance will be higher. C. 14. common follower) amplifier the load resistance resistance. Conversely, MOSFET. MOSFET could also In the common emitter circuit, increasing the input resistance (increasing Ri in Fig. 7-3) will increase the output im- and the 5. We it creasing circuitry in install the to the rest of the circuit. because the input current must go through Ri, through the base to emitter junction and through Rl- Therefore, in- which you want to IC with the hand opposite the Touch the simple, let's look at the out- pedance. The transistor is turned more toward off by smaller base currents and therefore has a higher resistance. B. 3. is to from the point of view of "V ou t" as seen in Figs. 7-3, 7-5, and 7-6. but this would be more complicated. A. 2. way To make things look at ing steps in order: 1. the voltage source put impedance from the point of view of the load resistor, Rl,. That is, we are matching icon wafer. 13. AC, a transformer is match load impedance to source impedance. However, if the source is a DC voltage and you are trying to transfer DC power to a load resistance, then there is no easy way to change the voltage-tocurrent ratio. Complex ways to do this effeciently are DC-to-DC inverter circuits and switching power supplies. If a convenient having zener diode pro- MOSFET gate is that it degrades the input isolation and will increase the input capacitance of the MOSFET. The zener diode not only has a leakage current, it has some capacitance which is added to the input capacitance of the device. In the common base configuration the input voltage source must provide all the current that appears in the load resistance. Therefore, the output resistance includes not only the transistor but also the input source resistance. As the input source resistance increases, so does the output resistance, as seen by 241 the load resistor. 4. The common base configuration can be used as a voltage step-up transformer. The com- mon used as a cur- collector amplifier can be The common rent step-up transformer. 7. Class C or class E amplifiers must be retuned each time the frequency is changed, even by a few kilocycles. On the other hand, a class B amplifier can cover a wide range of radio frequencies with fair efficiency without retuning. The class B (or A or AB) amplifiers will need bigger power emit- has both voltage and current gain and therefore can be used as either. However, if impedance matching is the main goal, then the common emitter amplifier is not the best ter better cooling for the amplifier, bigger transistors, and bigger power bills supplies, choice. from the power company 5. In order for the transistor to use the range of its transfer function, load resistor small enough to imum I c must have a pass the max- must In addition to Ic for the same of transmitted power. it current encountered on the load MAX. rent amount full MAX, some 8. If a sine wave signal is amplified by a sup- posedly linear amplifier which has a curved transfer characteristic, then the signal on the output is a distorted sine wave. According to Fourier's Theorem, this signal is no longer a pure sine wave and contains more than one frequency. The straighter line, cur- also be provided to drive the se- in Fig. 7-4. An approximate equation for the minumum load resistance in this circuit only is as follows: cond amplifier stage the transfer characteristic, the more accurately a sine wave (or other waveform) be reproduced in the output. Classes AB, C, or E just produce power at one will desired cc RL = Ic MAX frequency. Distortion in + lout can actually be useful by generating har- monic frequencies. In a linear amplifier, distortion can be greatly improved V cc Ic MAX these classes does not degrade the efficiency and by a push-pull amplifier configuration since the distortion in the +f. T n a / Vc.c. - 0.6 V^olt two transistors tends to method we did not cancel out. Another is the use of negative feedback which tends to make transfer character- discuss R; istics less tilted (less gain), 9. A but straighter. P-N-P and N-P-N transistors used to build very high resistance like 200 megohms is completely unable to supply the current needed for the transistor to turn on and follow its load line and supply current to the should following stage. distortion. complementary push-pull amplifier matched, not only for gain, power dissipation, and other attributes, they should also have equal amounts of a be In other words, their transfer characteristics should be mirror images of 6. The common base amplifier is each other. often used to drive high impedance loads since this configuration has the highest output imped- 10. the collector circuit ance. Even if the output impedance is not exactly 300 ohms, it will be most efficient to match a high impedance output to a high impedance load rather than rely on a imum DC may is of the LC circuit in adjusted for min- current in a class C amplifier. This can be done by changing the inductance, the capacitance, or possibly even the impedance transformer to correct a large mismatch. It may turn out that the amplifier stage driving this final amplifier The resonant frequency 1 not be able to produce enough current to drive the common base amplifier. Some sort of transformer or matching circuit may be needed on the input side of the final amplifier. 1. of the load. The adult pushing the swing represents the transistor. The pushes that the adult gives to the child on the swing represent the low voltage, high current pulses imparted to the on. 242 LC circuit when the transistor turns 12. Most so power consumed by a transconsumed by the final amplifier of the mitter is pays to have it Design a bias system that generates that this stage very efficient. The penalty is that it must be tuned each time the transmitter frequency is changed. It would be very inconvenient to tune each stage of the amplifier in the transmitter each time the frequency is changed because there may be four or five stages in a high frequency transmitter. Since little power is lost, it is easiest to use wide-band, linear amplifier stages everywhere except is The four emitter gain and one the resistors insure that 14. 16. same may turn on or off before the may overload and destroy one class C is this is The is difference is C that the class much must be much 17. 15. is as though amplifier some threshold you turned off a A cheap amplifier as described would be no The Darlington configuration that is described has extremely high gain, 10,000,000, and the slightest change in the circuit will cause the quiescent point to zoom to full on or full off. The slightest change in temperature would upset the quiescent point. Even the sound level of the music would change the power dissi-pated in the transistors and would change the bargain. that an input signal greater than The circuit shown in question 100 is another example of negative feedback. When the transistor. temperature. The emitter resistance will help to stabilize the amplifier by decreasing the gain. Unfortunately, if enough feedback before the transistor can begin to turn on. It no signal to amplify. transistor turns on, the drain voltage goes amplifier is biased so that the biased full off. On the load line the same place shown for class B. biased so the down. This decreases the bias current through Rj and R2 and tends to turn off the transistors. transistor The that all may others so whenever there sources. Voltage sources must' be provided to produce this bias voltage for each tran- Once one fails, the soon follow. In a class D amplifier the quiescent point is usually located where the transistor(s) are turned full off. This point is not critical, so thermal runaway is not usually a problem. It is more likely with class A where the transistor is already half turned on. of state sistor. transistors have exactly the others. This current JFETs or depletion MOSFETs. the gate voltages needed to just turn off the transistors will be below the voltages on the four transistors will share the load equally. No two or is in this For the final amplifier. 13. voltage amplifier water used such faucet with a wrench. Before you can turn is on the water again with you bare hand, you will need the wrench to loosen the handle. have enough gain to amplify from the mic-rophone level to the loudspeaker level in one stage. This feat requires about 50 decibels of power gain. Another problem is that the bias resistors and load resistance are connected Steps biasing for a class B transistor amplifier: a. maximum stabilize rent possible collector or b. Read what base current or gate needed to just barely turn off off voltage is gain same power supply. The slightest in the power supply voltage or curwill be instantly sensed by the input through the bias resistors. power supply leads may V/R L high change drain current on the current axis. IMAX = a to the Plot the load line. Plot the supply voltage on the horizontal voltage axis. Plot the to amplifier, the amplifier will not Inductance in the re-sult in positive feedback through the bias resistors and the amplifier will probably oscillate all by itself. In summary, a properly designed Hi-Fi amplifier should achieve this much gain in several small steps rather than all at once. the transistor. 243 18. SECTION Question 101 was an example of a potential thermal runaway. As a transistor gets hot. its gain increases which tends to turn on the transistor more on for a given set of circumstances. When the transistor turns on, it may become hotter still and turn on even 1. phase 2. more likely to do Negative feedback and transistors are than this silicon. good cooling are ways combat to amplifier characteristics parameters pertain establish that to DC the The dynamic what happens changing its state resting state of the transistor. characteristics when pertain the transistor rapidly; that is, is when We stated is correct the entire oscillator loop. to the transistor is ac- 3. tually amplifying a signal. 20. the positive feedback so that only one passed back to the input with phase shift. Sine wave oscillators always settle down to a frequency c that gives a total of 360 phase shift around the those and a tuned amplifier The phase shift network inverts the sine wave signal or delays the signal 180° in phase. The phase shift network also tunes or frequency Static oscillator usually consists of a inverting shift network. filters this pro- blem. 19. wave sine voltage more. Eventually the transistor may turn full on and may even be damaged. Ger- manium A VII that high efficiency was Positive feedback necessary to sustain the is oscillation. The amplifies derived from is the ampli-fier signal that its own output. a goal, so the best three amplifier classes are C, E, and C and E require an AC signal, usually RF, to drive them and elaborate resonant output circuits. These two approaches are probably too complex to be worth the expense. A class D amplifier is simple and effiD. 4. The only complicated part is that the input signal must be de-veloped so that the amplifier is pulsed full on and full off so that the average heat produced achieves the desired temperature. This approach resembles the way we used SCRs and TRIACs in Section 5. But here there is no AC voltage to turn off the SCR, so transistors are much easier to use than an SCR. The emitter follower configuration has the lowest output resistance and so is best for the low cient. resistance heaters. Germanium power have a lower saturation voltage than silicon transistors, less power and oscillating. be more efficient. is shown. will A perfect 360° phase shift. AVERAGE ON TIME ON y q ON OFF +12 VOLTS NPN GERMANIUM V,r POWER TRANSISTOR > OFF change be greatly exaggerated at the amplifier The magnified noise will be immediately redelivered to the input and the oscillation is started. No matter what the frequency of the noise, the phase shift network will soon force the oscillation to conform to the particular frequency that gives a ' DETERMINES ON cause a tiny disturbance output. possible amplifier circuit Vjn will at the input to the amplifier. This so these will dissipate will Slight variations in the power supply voltage tran- sistors This brings to mind the old question about which came first, the chicken or the egg. Yes, it is possible that an oscillator might not be self-starting. Occasionally you might actually find an oscillator that sits at its quiescent point and refuses to begin oscillating. However, if the amplifier has a large voltage gain and the phase shift network delivers a large positive feedback signal, the circuit is bound to begin 9>> OFF rl heater INPUT SIGNAL. TRANSISTOR IS RAPIDLY TURNED FULL ON AND FULL FF. > 24 i 5. You would expect the detector is much larger than if the detector were just a diode. When selfoscillating, the regenerative detector to find that the phase change very abruptly with very small changes in frequency as the frequency is shifted away from the actual oscil-lator shift will makes Morse code signals sound musical so that they are easy to read. This circuit is largely obsolete, but until recently it was operating frequency. 6. 7. RC phase shift oscillators are commonly used for low frequencies because they do not require inductors. To operate at low, audio frequencies, a Hartley or Colpitts oscillator would need a very large, expensive inductor. used one ILS marker beacon The three functions are better performed by a superhetrodyne receiver with a separate oscillator for a beat frequency oscillator (BFO). an RC phase shift one specific frequency because the RC network only shifts one specific frequency exactly 180°. Other frequencies are shifted more or less than this and this drives the oscillation back to the frequency where there is a perfect 360° of total phase shift. The oscillation in 13. oscillator occurs at 8. in at least receiver design. An active detector is AM an an amplifier used as if it were it will am- detector. It is biased as half of a class B amplifier so that one polarity of the RF signal. If really does have a linear transfer characteristic like one half of a class B amplifier, then the detector may be plify only the amplifier called a "linear active detector." SECTION IX Three separate RC phase shift circuits are needed in an RC phase shift oscillator because it is only practical for each circuit to shift the sine wave about 60°. If you were to try to produce a 90 ° phase shift with each of two RC circuits, the output feedback voltage would be vanishingly small. 1. Bistable, non-oscillating commonly used are multivibrators for counters (also called and for temporary memories in computers. They are also used in phase detectors and a host of other minor circuit apdividers) plications. 9. you want phase shift If to vary the frequency of an RC oscillator, ideally you should vary all three resistors simultaneously, perhaps with a triple-decker potentio-meter. 10. 2. The Hartley, Armstrong, and transformer ly until coupled oscillators can be tuned with a trigger pulses. single variable oscillator could capacitor. pitts could be The shut Colpitts Alternatively, tuned by a single slug-tuned 3. of a quartz crystal oscillator that the frequency The regenerative detector performs functions. It detects an AM changed by new the power supply is the information stored in flip-flop is lost. The trigger pulse tries to turn on both tran- 4. transistor that is Just after the 13th pulse the puts would be thirteen: Qi = = already turn- 1, Q4 = 1. flip-flop out- Q> = 0, Qa During the 13th pulse the 1, counter is still registering twelve because the counters respond to the falling edge of the pulses. Therefore, the outputs will be three signal. The ed on tends to remain on. However, the transistor that is off, turns on and this action turns off the previously on transistor. This is because the gain of the transistor that switches produces a bigger signal than the input trigger pulse. is extremely stable. This is because the phase shift of this circuit element varies dramatically whenever the frequency starts to drift away from its resonant frequency. Saying it another way, the crystal has very little resistance in comparison with its reactive impedance and therefore is an extremely high Q circuit. 12. When the Col- coil. is off, sistors. The advantage deliberately it is memories be tuned by a dual or ganged variable capacitor. 11. A flip-flop stores information by maintaining the state of its Q or Q output over a long period of time, that is, the output remains high or low more or less permanent- It Qj amplifies the signal so that the output of 245 = o, Q2 = 0. Q3 = 1. and Q, = 1. 5. The bases of astable multivibrators are usually turned off by charge stored in the capacitors so there is no need for a 1 1 6. 12. resistor. The load resistances, the faster the capacitors are 13. recharged, the more swiftly the collector If will be. the set trigger pulses are slower than the 14. The advantage of the multivibrator inverter circuit is that it make DC. AC is and 15. power be dissipated Monostable make 10. One multivibrators pulses longer. 16. on or is full off The comparator turns whenever one input higher than the other. A zero crossing detector with positive feedback is a Schmitt trigger. The positive feedback increases the gain and makes the square wave output more square. Also, it changes the switching threshold so that it does not switch until the input voltage exceeds the thresholds above and below the makes the trigger The output of a Schmitt trigger looks like the output of a zero crossing detector, but the square wave output is delayed in phase because the switching thresholds are no longer at zero. Although the average of these two thresholds is zero, it is no longer actually detecting zero crossings. 17. Hysteresis is a lag or delay in the response some device like an electronic circuit. In the case of the Schmitt trigger, the input voltage must overcome the effect of the of positive feedback before the Schmitt trigger responds. This lag in response is an ex- in the drop- ample are a high gain differential filtered ping resistor alone. 9. is cy noise. All these steps are efficient will comparator zero voltage point. This version efficiency of the zener diode circuit will be only about 30% or 40% because half power that insensitive to low amplitude high frequen- and a 90% overall efficiency is typical. The advantages of the zener diode voltage conversion approach are that it is cheaper, simpler, and physically smaller than the multivibrator. Moreover, the zener diode will regulate the voltage so that the output will be 6 volts DC even though the input voltage may vary from, say 15 volts DC down to 7 volts DC. Assuming that the input voltage is 12 volts DC, the power con- of the A voltage can be an efficient rectified are often a very high gain turns full on or full off whenever the input signal goes above or below zero volts. full to decrease or increase voltage without wasting power. First the power is converted to square wave AC, then it is passed through a transformer to reduce the volt- to They A zero crossing detector is non-inverting input. way age. Finally the digital circuits. amplifier with an inverting input and a frequency of the astable multivibrator, the multivibrator will switch before the trigger pulse arrives. This means that it will have already been set by the time the set pulse arrives. Therefore, the faster astable frequency will predominate. In fact, the multivibrator will ignore all the set trigger pulses unless they occur while the Q output is low, zero. natural 8. clock pulse is a very frequency stable square wave that is used to synchronize amplifier voltages will rise and the more square the 7. A and control smaller than the capacitor discharging resistors, Ri and R2. The smaller the load square wave needed to count derived from sine wave oscillators because these are usually more frequency stable than square wave oscillators. must be very much resistors flip-flops are to 10,000. base to The resistors Ri and R2 do not pass enough current to the bases to keep them turned full on. ground Seven more up used shot multivibrators arc usually of hysteresis. to 18. If a Schmitt trigger has too much positive feedback, the input signal would not be able to overcome the feedback and the cir- made from one half <>t an astable multivibrator and one half of a bistable multivibrator. would be permanently locked into on or full off states. cuit 2 Hi full 19. The "S" drawn on the Schmitt symbol is a picture of the sign -like trigger circuit 3. V m vertently . A unijunction transistor built how of rating well dif- common mode the affects inad- output voltage to some degree and this error is called the voltage gain. The desired voltage gain is the voltage gain caused by the difference voltage between the two in- common mode cuit. 20. way a The common mode voltage voltages. This ut graphed versus V symbol illustrates the hysteresis of this ciris, is ferential amplifiers ignore transfer characteristic of a Schmitt trigger; that This ratio something a transistor is like a junction FET. They puts. The common mode voltage rejection are largely obsolete but are occasionally ratio is the ratio of the desired voltage gain used as oscillators to generate voltage or divided by the common mode voltage gain. current pulses. 4. 21. The NE555 timer integrated circuit is used The output voltage of amplifier will the differential am- plifier more reliable, and more 5. versatile. Direct coupled amplifiers, also called DC amplifiers, can amplify very slowly chang- DC amps The inner workings of ICs are usually measurements made with cessible to over, there is Knowing all grated circuits closely matched the details of circuit. SECTION X 6. limitation of op-amps is Opinte- and the transistors are in their temperature drift is designed so that as one transistor drifts, another transistor will drift equally to compensate for the change. Also, the transistors often have base-to-emitter diodes which help control the gain over a wide temperature range. The block diagram of the IC will tell you what the IC as a whole is supposed to ac- The greatest signals. they are and gain characteristics. The op-amp their inner construction is rarely helpful. complish in the stable because volt- no way to repair defective parts in an IC. AC signals as well as are inac- meters, ammeters, or oscilloscopes. More- 1. to. is ing 23. differential has differential outputs, one output referring presently cheaper than a single unijunction transistor. It is more precise, the will including: monostable multivibrator, square wave generator, linear voltage ramp generator (sawtooth wave generator) and missing pulse detector. The NE555 If go up while the other will go down. The plus and minus names on the inputs are based on the polarity sense of the output. If the amplifier has two outputs, either input can be plus or minus, depending on which of the differential outputs you are for various oscillator related applications 22. rise. that The chopper stablized DC amplifier is a method of amplifying very low frequency or they tend to be slower in switching time and slew rate than individual transistors. This is reasonable since they are composed of several transistor amplifier stages in series. Op-amps are not perfect in any respect, but except for switching speed, they greatly exceed the capabilities of in- DC signals with a high frequency amplifier. AC The DC signal is and amplified by several stages. AC each stage AC amplifier amplifiers are stable because is the Finally, AC chopped into DC AC isolated from the others. signal filtered to restore the DC is rectified and signal. dividual transistors. 7. 2. to amplifiers form of differential extremely high voltage tional amplifiers are a amplifier with — V ee The pot is used to balance the amplifier output to zero volts when the input is zero volts. This is only important when very small signals are being amplified, so many op-amps don't need them. amplify the difference between two input voltages. OperaDifferential Offset null leads are connected to a center tapped pot with the center tap connected gain. 247 . 8. A bar graph voltmeter is more comparators, each an array of ten or which is wired = 6KQ. The output voltage would be — 14 volts. Large power supply voltages Rf 13. of to switch at a specific voltage. much The com- parators respond to a range of voltages greater than needed. ar- ranged in a linear or logarithmic scale. The output of each comparator drives an LED or other indicator. Voltage is measured by observing how many of the comparators have responded to voltage above their in- ±14 volts would be the op-amp were a 741, the If power supply would have to be larger than is permissible to have such a large output voltage. dividual thresholds. Theoretically, 14. work if the would amplifier not the inputs always stayed at precise- An input voltage causes a small difference voltage between plus and minus inputs that is quickly cancelled by the negative feedback. ly zero volts. 9. A voltage follower is used to amplify cur- rent without changing the voltage of the input signal. In other words, it matches high impedance voltage sources to low impedance loads without distorting the original voltage. The negative op-amp in- put has the same voltage as the output because they are wired together. Whenever the positive input attempts to rise above the negative input, it makes a temporary +6 15. The output voltage 16. The presence of an input offset current means that the output will not equal zero when the input voltage is zero. The huge op-amp gain up until the negative inagain equal to the positive op-amp difference voltage. will be volts. forces the output put is input. 17. Op-amps sometimes equipped with null These can be connected to a potentiometer which can adjust the output to zero when the input is zero. Both op-amp inputs should have equal resistance along the pathways to ground so that the op-amp will balance at zero. These pathways include are offset leads. 10. Any op-amp circuit with negative feedback will cause the output voltage to change until the negative input voltage is again equal to the positive input voltage. Therefore, the op-amp could compensate for any diode offset voltage. the source resistance of the input voltage. 18. 1 1. There is a virtual short circuit between the two op-amp inputs whenever the circuit has negative feedback. The short-circuitlike condition will result whenever the negative feedback coupling from output to 19. is a thermometer composed of (or are used to couple AC signals which have a zero point at zero volts to the amplifier which operates with its zero point at 1/2 V cc These capacitors charge to whatever permanent DC voltage is present The capacitors . We assume that the op-amp has infinite gain which implies that any negative feedback will do the job. 12. pyrometer galvanometer) and a thermocouple. The thermocouple consists of two wires of dissimilar metals fused to-gether at one end. negative input is sufficiently strong so that the negatively input voltage will be forced to equal the positive op-amp input. The more gain the op-amp has, the less feedback current is required to accomplish this. A a voltmeter 1 2V CC in this case. As a result, the amplifier can't be used for slowly changing DC signals because the ca-pacitors would just adapt to the input signal and the amplifier would never see the signal. High across them, The current flowing into the op-amp inputs very small and has no significant effect on the amplifier circuit gain. frequency signals are not distorted by the capacitors. is 'J is attenuated or 20. The op-amp with negative feedback behaves 5. almost as though it were a perfect voltage source with zero output resistance. The feedback largely compensates for the drop in output voltage caused by load current. The op-amp does have output resist-ance and can't compensate for very large loads. One symptom of too big a load is the op-amp tated may RC be dic- 6. In the adding circuit it is vital that all the input currents that are being added all flow toward a point that is fixed at zero volts. The non-inverting amplifier does not have such a fixed point. If the non-inverting amplifier were used, each input current could change the amplifier input voltage and produce an error in the addition. 7. active frequency filter is one or more RC sometimes LC or LR) filter sections built around an op-amp amplifier circuit which compensates for the attenuation of the An logarithmic amplifier is an inverting is a forward biased P-N junction diode. P-N diodes have a forward volt-ampere characteristic that is approximately V = In I. cess. Therefore, the voltage across the op-amp Bode plot is between the negative input a graph of decibels of at- drove the current into the input By changing to 1/3, the circuit can criminating. calculator. 1K loge resistor. 3K J> -3lnx > ANTILOGe V rrn ^ and the gain of the amplifier from 3 become a cube root Several identical active filters can be put in series to make a filter network more dis- — at zero volts the output will be a voltage proportional to the natural logarithm of the voltage that tenuation or gain versus frequency. It is used to describe the frequency response of amplifiers, filters, servo mechanisms, etc. VlN = X^> frequency except in amplifier in which the feedback element desired frequencies during the filtering pro- 4. frequencies A band pass filter can be constructed by putting a high pass filter in series with a low pass filter. The cut-off frequencies are selected above and below the pass band so that only a narrow band of frequencies can pass through both filters. A (or A fre- narrow band called a notch. The notch filter is made from a low pass filter and a high pass filter in parallel. The cut-off frequencies are arranged so they are located on the upper and lower edges of the notch band. The two filter outputs must be combined using an operational adder to make a composite signal. SECTION XI 3. shift They filters. A notch filter passes every the must remain very small so that the maximum voltage swing for that load is not exceeded. 2. phase to phase shift is unlikely to add up to an exact 360° at a frequency that is favored by the will loads, the input voltage 1. similar back. However, the amplifier is in the noninverting configuration and the total loop With heavy by the input voltage. are quently have a voltage gain greater than one, a phase shift network, and positive feed- The symptom dis-cussed in the was that the output voltage will not be able to reach the high levels that filters oscillators like the one in Fig. 8-4. overheat. text These V VOLTAGE GAIN OF -3 249 J = X3 SPEEDOMETER D.C. GENERATOR xy MULIPLIER <r IC <r VOLTAGE 6 MILES/HOUR -MILES GALLON V^A^ ^> VOLTMETER CALIBRATED rrn MILES PER GALLON IN rrn > ±> -VOLTAGE 6 TO GALLONS/HOUR FUEL FLOW METER 10. Division circuit for mile-per-gallon meter. 11. Integration and differentiation are opposite processes. Differentiation produces a voltage that is proportional to the rate of change of the input voltage. Integration produces a voltage that is proportional to how long the input voltage remains high. 12. A 15. series of pulses. simple RC integrator is inaccurate because the voltage across the capacitor decreases the voltage across the resistor. This prevents the capacitor from charging at the correct rate. An op-amp integrator 16. is an inverting amplifier so the negative opamp input remains at zero. This keeps the capacitor charging current through the resistor proportional only to the tains integrals, derivatives, or both. 14. The current flowing The to the equation can be another equation with no derivatives or integrals that gives a concrete statement of how each variable actually changed. The solution that is obtained with an analog computer is in the form of graphs which plot how each variable changed over the time voltage. Differentiators tend to be impractical because they are too sensitive to low amplitude, high frequency noise. A differential equation is a mathematical explanation or prediction of how a process with changing variables will progress with time. A differential equation always consolution input 13. Integrators are used in sweep circuits and analog computers. They could also be used as a sequential pulse counting machine. Suppose a series of 18 equal pulses were applied randomly to the integrator over a period of several seconds or minutes. A well designed integrator would produce a voltage precisely proportional to 18 pulses. So, in effect, the integrator is adding up a period. into the integrator should have exactly the same waveform as the input voltage. 17. 250 They are the same circuit except that the inverting amplifier has a separate load. The grounded base SECTION amplifier and the volt- age-to-current converter share the following characteristics: 1 The goals XII power supply design often of in- clude: * A * A current gain of about 1 AC A. Rectifying high voltage gain high impedance. if to DC. the load has a B. Holding the output voltage level cons- tant. A high power gain high resistance. * if the load has a C. * A * The input voltage and output voltage have opposite polarities, assuming the low input impedance. grounded hose is Both tend to have current circuits voltage level. D. Limiting the current to the amount that can be delivered safely. E. Filtering out AC ripple or other noise. at zero volts. F. * RMS Changing the Isolating supply the output from ground. source outputs. G. Low supply inductance and resistance to load current. 18. The negative feedback through the deflec- H. High efficiency. tion coil insures that the voltage across the op-amp compensate for the impedance of the deflection coil and force the current ramp through the coil. 19. will The inverting amplifier configuration comparable to the fier. The voltage common follower the emitter follower or is I. a emitter ampli- K. Low cost. comparable to common collector 2. is 100 because a 100 Q 3. draws 100 times more current than 10K Q Reliability. The zener regulator is an example of a parallel regulator. The current gain resistor J. size. is amplifier. 20. Lightweight and small resistor. 100 Q WW 10KQ Large zener diodes which are able to dissipate more than a few watts are expensive and rarely used. It is cheaper and more effi- 10KQ Rload V "V VOLTAGE-TO-CURRENT INVERTER WITH VOLTAGE GAIN = 1 CURRENT GAIN = 100 CONVERTER SOURCE. 251 IS CURRENT heavy heat sinks are not needed. If an inefficient supply were allowed to run hot, the transistors or other temperature sensitive materials would be damaged. cient to use zeners as voltage references for large, a series regulator pass transistor or other voltage regulator design. 4. In a parallel regulator energy is wasted in resistive elements. In a series regulator, the load serves as part of the voltage two 10. temperature is lated 5. Both the emitter follower amplifier and the op-amp voltage follower can be used to amplify a voltage reference to make 11. a voltage The current sense resistor is in series with the output current and the voltage across it is proportional to this current. A zener base-to-emitter junction, diode, voltage reference device is the sense resistor voltage. or 3-terminal regulator is the out- 12. Separate built for 3-terminal a sophisticated regulators are and negative supplies usually desirable to ground positive because it is the metal case to dissipate heat. A positive voltage regulator could be used to build a negative supply, but the case will have to be insulated from ground. 8. A more supplies. made of semiconhas accurate, symmetrical, positive and negative breakdown voltages which resemble two zener diodes wired in series. When wired across an AC voltage, the varistor switches on so abruptly that it can be used to clip very short duration noise spikes off an AC sine wave varistor is a resistor material. It Switching power supplies are extremely eflightweight, and compact. Using integrated pulse width modulators, they can be constructed with few parts, and they often have built-in current limiting abilities. If a switching power supply were used to power a radio receiver, you could expect to have radio noise interference from the high frequency AC switching waveform. Another disadvantage is that it requires a relatively complex circuit if an isolated output is desired. Although switching power supplies should run cool, they are more temperature sensitive than a regulated supply based on a device like a ferro-resonant transformer which contains no transistors. ficient, series regulator built as an integrated circuit. are accurate placed across When rent to the load. A stable voltage. other put current exceeds the design limit, the voltage reference device conducts and steals current from the base of the pass transistor. This prevents the pass transistor from passing greater amounts of cur- 7. A power ductor regulated source. They both have voltage gains of one, but high current gain that will adapt to the needs of the load. 6. and than zener diodes. They are preferred for use in precision voltmeters and precision regu- only one resistive, voltage dropping element. divider, so there Energy gap voltage references 3-terminal regulator can be used to build a current source and ground terminals across a fixed tor. 13. by connecting the output The regulator The free-wheeling diode discharges the charged inductor into the load so that the energy stored in the inductor is not wasted. resis- will drive a fixed current through the resistor and to other circuits by holding the sistance constant. needed, it voltage If a would be across the re- 14. large current were inefficient and expen- sive to use a high voltage regulator. The pulse width modulator converts a DC the DC voltage system. In a switching supply, the pulse width modulator compares the output voltage with a reference voltage and generates control pulses to switch the transistors and keep the output voltage constant. versely regulator should have the lowest regula- proportional to level in the Fig. 12-17 tion voltage available. 9. A voltage level into a pulse width modulated pulse train. The width of the pulses is in- An efficient power supply runs cool because it does not convert energy into heat. Since there is no heat to be dissipated. 252 15. High frequencies are used for switching power supplies so that the inductor and filter components in the supply can be as put current rises, it produces a flux that counters the flux from the primary winding. This negative feedback reduces the output current. Also, as the secondary side small as possible. of the core begins to saturate because of 16. The high currents in the resonant winding and the secondary winding, the inductance of the secondary winding will fall. This will error signal is an amplified difference voltage which is the difference between a reference voltage and the actual output also limit the current. voltage. 17. The error signal can never be zero volts because that would turn the pulse width modulator output on continuously. This would turn the switching transistors on continuously. As soon as the inductors were fully charged, all the voltage drop would be across the transistors and the load. This would overheat the transistors and load very quickly. 22. A paraformer is not an ordinary transforThe primary and secondary windings mer. do not share a common flux path. Instead, magnetic field energy is forced to leave the primary flux path and join the secondary flux path as the inductance of the second- ary winding paraformer own 18. A wave system full as shown is suited for driving a transformer so be used for raising voltage levels. it can full and the inductive comsupply can be lighter and in the core in the smaller than in the half-wave design. As drawn, the full wave system can be isolated from ground. 19. Photo-isolators are useful for transmitting information which is across a voltage difference either unpredictable or varies in The photo-isolator has an extremely high impedance between the light and the photo-transistor so that current can't pass through it and it cannot compromise the size. isolation. 20. By isolating the supply output from ground, power supplies can be wired together in parallel or in series, or with either polarity grounded. 21. A in is oscillating, it generates its sine form does not appear on the secondaryvoltage waveform. wave system demagnetizes the transformer core on every half cycle. Less iron is needed ponent changed by the current waves which are independent of the waveforms on the primary. This means that noise on the primary voltage wave- better The is the primary. Because the secondary of the ferro-resonant transformer is a power transformer which regulates its own AC voltage and limits the current it can deliver. The output current passes through the compensation winding which is located on the primary side of the core. As the out- 253 FINAL EXAMINATION 3. STUDENT GRADE _ Electrons are able to leave the cathode and flow to the plate in a vacuum tube when: A. The tube is evacuated and there is no air to prevent conduction across the gap. B. The cathode is C. The positive with respect to the plate is heated. cathode. Select the 1. BEST answer for each question. Semiconductors are important All of the above. E. None of the above. in electronics because: A. D. 4. The following The valence energy band and the conduction energy band are far apart in A. semiconductors. B. is true of AC They all They are always rectify "diodes. all to DC. made from a semicon- ductor. B. Each atom always has a valence of +4. so they react together to form stable C. C. Vacuum D. Small applications of energy can convert semiconductors from insulators to conductors or vice versa. tubes are obsolete. all non-linear and have two They E. They can never be used all have a forward offset voltage. as the amplify- ing device in oscillators or amplifiers. All of the above. Conduction by holes uses less voltage than conduction in the conduction band. 5. 2. are D. F. E. They electrodes or terminals. crystals. Which semiconductor device depends on P-N junction for its function? A. A thermocouple B. A thermistor a Zener diodes: A. Do B. Are never used not have a forward offest voltage. in series voltage regula- tors. C. Have nothing in common with tunnel diodes. C. D. A cadmium A Gunn E. A F. None sulfide cell D. Can never be used E. Are most important for their backward breakdown characteristics. F. None in place of stabistors. diode varistor of the above 255 of the above. 6. The saturation voltage 10. bipolar transis- in MOSFETs: Depletion tors: A. A. Are turned half-on when the gate-tosource voltage is zero. lower in germanium transis- Is usually tors. B. Is measured between the collector and B. emitter. Occurs when the transistor C. is turned full higher Is usually power in large is easily punctured by static elec- transis- C. tors. E. a thin silicon oxide gate insulator tricity. on. D. Have which Sometimes have an external substrate lead, 4 leads total. All of the above. D. Are not always shown using exactly the same symbol. 7. Which device RF A. signals? A triode B. PIN is not capable of amplifying E. All of the above. vacuum tube C. diode Varactor D. Common E. Tunnel diode 11. A CMOS verter, is digital circuit, such as a binary extremely efficient because: in- base amplifier A. The power supply current never travels directly from +Y<id to ~~ ^ dd- except during switching. 8. B. C. E. Binarv arithmetic. D. Unlike PMOS CMOS and FET NMOS, no resistors transistors. up to 20 times wafer than bipolar transistors and this keeps them circuitry takes more area on the An enhancement MOSFET age that than bipolar transistor logic are used, only Taking of logarithms Addition and subtraction It is faster circuits. Division D. C. 9. B. Operational amplifiers are used for all the following mathematical operations except: A. Integration silicon cooler. has the advant- it: E. A. Can never be damaged by excess All of the above. volt- age. 12. - B. Is "fail safe' and turns gate-to-source voltage C. off when the An amplifier with high voltage gain and high current gain is: is zero. Can be handled with no special precau- A. The source follower B. The voltage C. The common source D. The common E. The common gate tions. D. Has lower gate capacitance than FETs. E. F. Can always be used as a direct ment for JFET transistors. None follower other replace- of the above. 256 amplifier collector amplifier amplifier 13. Which of the following transistor leads is 17. Which of the following is not true about dif- normally biased with positive voltage? ferential amplifiers. A. The P-N-P collector A. The output voltage equals the differential of the input; that is, the first de- B. N-channel FET source C. P-channel FET drain rivative. B. An operational amplifier is an example of a differential amplifier. D. The N-P-N collector C. 14. Which transistor amplifier has the lowest in- put impedance? the output goes down. A. Common emitter amplifier B. Common base amplifier C. Source follower amplifier D. Common collector amplifier E. Common cathode amplifier 18. 15. Beta A. A B. The current gain C. The collector D. The common mode voltage is age of the two input voltages. E. None An inverting op-amp Greek alphabet. of a bipolar transistor. current divided by the the aver- of the above. is A. -5 B. -3 C. -4 D. -1/4 E. Infinity wired with a signal ohm and a negative 4K ohm. What is the input resistor of IK feed-back resistor of volt-age gain? is: letter in the When the inverting input has a higher voltage than the non-inverting input, base current. D. For most practical purposes, the same as Hfe 19- . Which of the following is not true about operational amplifiers wired with negative E. 16. feedback as All of the above. Operational amplifiers can be used to build: A. Sine wave oscillators. in question 18. A. The voltage gain B. The input will be finite. resistance of the inverting amplifier will be nearly infinite B. Schmitt triggers. C. Comparators. D. Linear amplifiers. C. The two inputs same voltage. D. The output will have virtually the resistance will act as if it were zero over a wide range. E. Zero crossing detectors. E. F. All of the above. The output will act like a voltage source over a wide range. 257 20. Which device is unlikely to be used in a 24. A. Stabistor B. Bipolar transistor C. Tunnel D. Energy gap voltage reference E. Field effect current regulator diode N-channelJFET B. P-channel MOSFET C. N-channel MOSFET D. Enhancement type E. Depletion type The following monly used MOSFET high for A. First class B. Classes C. Classes A, power control Memory elements C. Analog, wide-band amplifiers D. Classes A, C. and D. Digital logic circuits E. Classes AB. C. and E. Counters F. Class likely substitute for the DIAC control circuit to be used as a in a TRIAC power "stereo"" and B B. The device most fidelity and third class A A MOSFET classes of amplifiers are com- for: AC P-N construction? A. amplifiers. 26. 23. its Two-state or bistable devices are not useful A. 22. of the following devices has a rectifier 25. 21. Which junction in voltage regulator circuit. AB, and B E E only The following class(es) of amplifiers are commonly used for amplifying radio signals. A. Classes A. B. C. and D is: A. A xenon flash tube B. Classes C, B. A neon bulb C. Classes A PIN D. Class D only C. E. Class C only D. A P-N-P-N diode E. A thyratron diode Which of the following devices cannot be used to build a relaxation oscillator? A. A DIAC B. Unijunction transistor C. P-N-P-N diode 27. When A a Class Schottky diode E. Neon bulb and B C amplifier is properly tuned, you would expect: A. The music to be distorted. B. The plate to glow red hot in a tube amplifier. C. The plate minimum. D. The E. The or collector current collector or plate voltage to be the D. AB, and E to be waveform shape of perfect square waves. collector voltage to be high while the collector current is high. 28. The load A. B. line is: 31. A straight line drawn on the ampere characteristics of a device. A way graphical of Sine oscillators: A. Are never used in the generation of volt- square waves. showing the voltage B. Are usually A built from a non-inverting across a device and the current through class the device while back path through a 180° phase-shift it operates in a par- ticular circuit. C. wave A graph amplifier with a positive feed- network. that shows the maximum C. tolerable load for a transistor. Are most stable when the phase-shift changes most dramatically with frequency. D. All of the above. D. 29. E. None F. A of the above. and B only Thermal runaway Are often stablized with piezo-electric galena crystals. E. in a class A amplifier can 32. Are basically a bistable circuit with two quasistable operating points. Doping is: be discouraged by: A. A. Negative feedback to hold the gain constant with temperature. B. Using a larger C. Cooling the transistor. B. D. Using a Darlington transistor. All of the above. F. A, B, and C C. Class D only. electronic techni- A refrigerant sprayed on electronic components to cool them off and make intermittant circuits easier to find. A process of painting transistors. band A electrons. poor performance on an FCC exam. amplifiers: 33. A. Are good for nothing. B. Are good C. Could be used for switching elements a switching power supply. for None Which RF amplifier is Common B. Emitter follower C. Common drain D. Common base E. Common gate emitter in amplifiers. of the above. 259 an inverting amplifier? A. analog amplification. D. Are used as tuned E. by D. The addition of impurities to a semiconductor to provide holes or conduction E. 30. narcotic used jobs. transistor. E. A cians to relieve the frustration of their 34. A 37. Darlington transistor: Which statement about wave sine oscil- lators is false? A. Is faster switching than bipolar tran- A. Colpitts and Hartley circuits can be modified to include a crystal in the feed- sistors. B. Is two or more bipolar directly together so that they used as a single high gain C. May only be used in back path. transistors wired may be B. transistor. common Sometimes stray capacitance is used as part of the feedback loop in sine wave oscillators. emitter configuration. FET complimentary D. Is a E. Is exceptionally cute. C. There is a total of 180° phase shift around the oscillator amplifier and feedback loop. D. A transistor. sine wave oscillator can be built with a tunnel diode as the active amplifier ele- ment. 35. Several P-N junction rectifying diodes connected in series describes: E. Sometimes sine wave transistor oscil- lators are biased like class A. Semiconductor high voltage rectifier B or C ampli- fiers. diodes. B. C. Stabistor diodes. A 28 volt solar 38. battery made from The A. silicon solar cells. bistable flip-flop: Can be used as a counter because it produces two output "Q" pulses for every input pulse. 36. D. All of the above. E. None A varactor could never be used to: A. Replace a variable capacitor. B. Tune an LC resonant Can be used C. Often has set and reset inputs which always change the state of the Q output with every input pulse. D. circuit. as a memory element in which each of the two transistors can remember one bit of information for a total of two bits per flip-flop. B. of the above. Will oscillate at a frequency determined by the speed-up capacitors. C. Multiply frequency. D. Amplify E. None E. RF signals. Will remain in either of its two stable states indefinitely. of the above. F. 260 Onlv A, B. and E are true. Answers to the Final Exam 1. D 20. C 2. F 21. C 3. D 22. B 4. C 23. D 5. E 24. A 6. E 25. B 7. B 26. B 8. E 27. C 9. B 28. F 10. E 29. F 11. A 30. C 12. C 31. C 13. D 32. D 14. B 33. A 15. E 34. B 16. F 35. D 17. A 36. E 18. C 37. C 19. B 38. E 261 NOTES NOTES NOTES I A P, Inc. Box 36 • 1000 College View Drive Rlverton, Wyoming 85201-0036 P.O. Tel: (800) 443-9250 • (307) 856-1582 EA-192 0-89100-192-1 l