Chapter 1 : Small Signal Low Frequency Transistor Q. 1. What is a small signal amplifier ? Draw the diagram and explain function of each component. Explain effects of coupling and by pass capacitors in a circuit. Ans. When the input signal is quite weak and produces small fluctuations in the output current in comparison to its operating value, the amplifier is called small signal or voltage amplifier. The practical circuit of transistor amplifier in CE configuration with self biasing is drawn. The resistances , and form the biasing and stabilization circuit. The biasing circuit must establish a proper operating otherwise a part of —ve half cycle of the signal may he cut off in the output. Resistor is load resistor. An electrolytic capacitor called input capacitor, , of about is used to couple the signal to the transistor base. In the absence of this capacitor, the signal source resistance will come across and thus change the bias. This capacitor allows only ac signal to flow but isolates the signal source from . Another capacitor is called emitter by pass capacitor. of capacity of about is used in parallel with emitter resistance in order to provide low reactance path to the amplified signal (ac). In the absence of capacitor, amplified ac signal flowing through will cause a voltage drop across it which in turn will feedback the input side and reduce the output voltage. Four coupling of one stage of amplifier to the next stage another capacitor called coupling or blocking capacitor is used. Because of , the output across free from the collector dc voltage. In its absence will come in parallel with resistor of biasing network of next stage and thereby change the biasing conditions of next stage. Various currents flowing are: J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 1 Emitter by pass capacitor: It is included in the circuit to provide a low reactance path to the amplified ac signal. It is connected across the emitter resistance, . Because it is used to by pass or shunt ac current away from the emitter resistor . Or is used to prevent negative feedback in the emitter circuit. Removal of results in an increase in amplifiers input resistance, a reduction in its voltage gain and an increase in the output resistance “looking into the collector”. Q. 2. Explain the phase reversal of output voltage in CE amplifier. Ans. In a CE configuration, the output voltage increases in the negative direction when the input signal increases in the positive direction and vice versa. This is phase reversal and causes 180° phase shift between input signal voltage and output voltage . Consider a CE amplifier, the signal being fed at the input terminals i.e. between base and emitter and output is taken from the collector and emitter ends. The instantaneous output voltage is given as Reactance of coupling capacitor considered as short. is negligible at ordinary frequencies and it is With increase in signal voltage in positive half cycle, increases causing increase in and so the drop . As is constant therefore, output voltage decreases. Thus, signal voltage increases in positive direction, the output voltage increases in the J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 2 negative direction i.e. there is phase difference of 180 degree between input and output. Conversely on negative half cycle of the input signal voltage, lesser current flows. Though collector resistance and so voltage drop across it decreases. For this reason output voltage increases. Phase reversal can be shown graphically also using load line. The base current and with as the zero signal base current. is maximum in the positive direction, becomes maximum in the negative direction and vice versa. Thus, the input and output voltages are in phase opposition i.e. the transistor has produced a phase reversal of output voltages w. r. t. the input signal voltage. Q. 3. What is ac emitter resistance ? Give formulae also.’ Ans. The ac or dynamic resistance of the emitter base junction (or simply emitter) diode is called ac emitter resistance. It is given as change in base emitter voltage divided by corresponding change in emitter current i.e. It is possible to derive formulae for ac resistance of the emitter diode by using calculus and ac resistance of emitter diode is given as current at Q point. where is the dc emitter As emitter diode is special in transistor analyses so formulae use is e indicates emitter and lower case r indicates ac or dynamic resistance and prime; indicates internal resistance. Q. 4. What is model of transistor ? Give advantages of this model. Explain model of transistor amplifier in CE configuration and its performance J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 3 characteristics. Ans. Apart from hybrid model of transistor, another model is developed i.e. model which uses beta and resistance values. It has following advantages: 1. The procedure followed is quite simple and easy to understand. 2. The required datas are easily available. 3. The results obtained are quite accurate for the study of characteristics of amplifier circuits. The model of a CE transistor amplifier: Circuit of CE npn transistor amplifier with a base is given in figure below. Its dc equivalent circuit is also shown. From dc equivalent circuit AC resistance as seen by the input signal when looking into the base is equivalent circuit is given in the diagram. In the absence of ac voltage source resistance across as well as , whole of the signal voltage because these are connected in parallel across it. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 4 . AC ac Then major part of source current compared to flows through because is large as . Hence ac equivalent circuit is further simplified (as shown above) and Principal Performance Characteristics: Effect of on voltage Gain: When is considered, there will be voltage drop across it, thereby reducing hence it will reduce Larger larger will be voltage drop across it, less lesser internal drop across Circuit with is as shown. is in series with and . Input ac signal drops across and and dud combination of in parallel. Q. 5. Draw the circuit of CE transistor amplifier and give its h parameter model. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 5 Find out its voltage gain, current gain, input and output impedance. Ans. The circuit diagram of CE transistor and it CE amplifier Ii parameter equivalent circuit (with ) is shown. Circuit analysis can be done vigorously using Ii parameters derived from manufacturer‟s data sheets for a given transistor. But parameters are specified only L specific set of bias conditions and therefore need correction when the circuit bias conditions differ from data sheet. 1. Input impedance : When looking into the base emitter terminals of the transistor. . is seen to be in series with For CE circuit, is normally very small quantity., so feedback from output to input is negligible as compared to voltage drop across . Thus, input impedance to the transistor base is given as, With unbypassed emitter resistance in the circuit, From circuit, being neglected, we have J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers is more complicated. Page 6 The actual circuit input impedance is (2) Output impedance : Since output voltage variations have little effect upon the input of CE circuit, only output of the circuit needs to be considered in determining the output impedance. Looking back into collector and emitter terminals, larger resistance is seen. Thus device output impedance Actual output impedance is in parallel with i.e. Since is typically or 20, is usually very much less than approximately equal to (3) Voltage gain: It is given as output voltage to the input voltage i.e. minus sign indicates 180° phase shift in then . So is in the circuit, ignoring (4) Current Gain: It is ratio of output current to that of input current i.e.: Above expression is true for both with or without circuit current gain. divides between equation , we have . It is but device current gain not . Using current divider J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 7 5. Power gain: Q. 6.Draw the circuit of CB transistor amplifier and give its h-parameter model and drive all gains and impedances for it Ans. CB transistor amplifier circuit with emitter current bias and its h parameter equivalent circuit are drawn. The practical CB amplifier circuit has ac signal source connected at input through coupling capacitor is connected to collector with J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Coupling capacitor Page 8 short circuits ac from the base to ground. It is assumed in h parameter model that the base of the transistor is ac shorted to ground through . In absence of , and appears in series with transistor base terminal and hence neglected when deriving approximate expressions. 1. Input impedance: When bypass capacitor is at base terminal is omitted. and input impedance to transistor emitter, Actual circuit input impedance is 2. Output impedance : Since output voltage variations have little effect upon the input of 03 circuit, only the output of circuit need be considered in determining the output impedance. Looking back into collector and base terminals of transistor, a large resistance is seen. Thus device output impedance Actual output impedance is parallel combination of so is approximately 3. Voltage Gain: Because of negative value of When are in phase. is omitted, 4. Current gain: J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 9 This expression is true for both circuits (with or without gain, not the circuit gain. As is divided between divided between Thus overall current gain, ). But this is device current and the collector current is 5. Power gain: Q. 7. Draw the circuit of CC transistor amplifier and give its h-parameter model. Derive all gains and impedances also. Ans. The practical circuit of CC amplifier using emitter current bias is shown and CC amplifier h-parameter equivalent circuit is also shown. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 10 The ac signal source is connected to base terminal through coupling capacitor external capacitor divider load connected to emitter terminal of transistor . Base bias voltage is derived from dc supply and through , coupling by means of potential . Now emitter bypass capacitor is used. When the signal applied to the base terminal goes positive, forward bias causing increase in emitter voltage. This is because emitter voltage less base emitter voltage and is increased is equal to remains substantially constant i.e. = — . Since emitter is the output terminal, it is seen that the output voltage of a cc circuit is almost the same as its input voltage. Because the output voltage at the emitter terminal follows the input signal applied to base terminal, the cc circuit is also known as emitter follower. In the parameter equivalent CC circuit, the current directions and voltage polarities are indicated for a positive going input signal. 1. Input Impedance : The important point in cc amplifier is that the = 1 i.e. all of is feedback to input .Then, The input impedance to the transistor base, 2. Output impedance: In CC circuit, any variation in voltage at the output has a J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 11 significant effect on the input circuit. So for finding output impedance at transistor emitter, the signal voltage is assumed to be zero and emitter current in terms of is determined . Above equation gives the output impedance of the device only. For the circuit output impedance, is in parallel with so 3. voltage gain: 4. Current gain: The signal current divides between Current gain for cc circuit is, For CC circuit, is usually very much small than significant lesser effect upon the circuit current gain. 5. Power Gain: J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers , so that has a Page 12 So, cc provides current and power gain but no voltage gain. The input impedance is very high and output impedance is low. It is suitable for a low impedance load, which is to be supplied with a signal from a high impedance source. Q. 8. Explain frequency response of an amplifier. Ans. The voltage gain of an amplifier varies with signal frequency due to effect of variation in circuit capacitive reactance with signal frequency on the output voltage. The curve drawn between the voltage gain and signal frequency of an amplifier is known as frequency response. If the input voltage of an amplifier is kept constant but its frequency is varied, it is observed that the amplifier gain remains practically constant over a sizeable range of mid frequencies. Amplifier gain falls off at low as will high frequencies. Q. 9. Explain the effect of emitter bypass capacitor, coupling capacitor, emitter resistance and shunt capacitor on the frequency response of an amplifier? Ans. The performance of an amplifier depends to a considerable extent upon its frequency response. In the design of an amplifier, appropriate steps are taken to ensure that gain is essentially uniform over some specified frequency range. A typical graph of amplifier output voltage or power plotted versus frequency is drawn. It is found that output normally remains constant over a middle range of frequencies and falls off at low and high frequencies. Gain over this middle range is termed the midfrequency gain. The low and high frequency at which gain falls by 3 db are designated and respectively. This range is normally considered the useful range of operating frequency for the amplifier and and is termed the amplifier bandwidth. are sometimes called half power or 3db points because the power output is — J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 13 3db from its normal level when is half of . When, amplifier output is expressed as a voltage on the graph of frequency response, 3db points occur when . The fall off in amplifier gain at low frequency is due to the effect of coupling and bypass capacitors. At medium and high frequencies, capacitive reactance being equal to is very small and, therefore, all coupling and bypass capacitors behave as short circuits. At low frequencies , capacitive reactance of capacitors X increases and some of the signal voltage is lost across capacitors. Thus with decrease in frequency, the reactances of capacitor increase and, therefore, gain of the circuit falls. All transistors have capacitances between their terminals. There are also stray capacitances which are capacitances between wiring and ground. All these capacitances are very small and therefore at low and medium frequencies their reactances are very high. With increase in frequency, reactances of the fall and when these reactances become enough, they begin to shunt away some of the input and output currents. With the increase in frequency current gain continues to decrease until it becomes too small to be useful. The 3db point for the amplifier can occur when the reactance of the becomes equal to the Q. 10. What are different transistor cut off frequencies? Ans. If no external stray capacitances were present, the device internal capacitances and transit time of charge carriers across the transistor junction and through the semiconductor material limit the circuit frequency response. The limitations are expressed as (a) Alpha cut-off frequency : is defined as the frequency at which the J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 14 current gain falls to or 0.707 of its low frequency value corresponding to 3dB loss. Thus at cut off frequency, is inversely proportional to square of base width and directly proportional to minority carrier mobility. (b) Beta cut off frequency : decrease to is the frequency at which the current gain or 0.707 of its low frequency value. Thus at Alpha and beta frequencies are related as (c) parameter of transistor: It is another high frequency characteristics of transistor and is defined as short circuit common emitter current gain falls to unity at this frequency. where is low frequency value and Q. 11 Explain Miller effect. Ans. Transistor internal capacitances are assumed to be very much smaller than the external or stray capacitances. These capacitances (internal) are very important and tend to have their maximum effect at input terminals of the transistors. When input signal of voltage collector voltage, where is applied to the base of transistor, the change in is circuit voltage gain. The negative sign is due to phase shift inherent in a CE amplifier. As seen, collector voltage base voltage is increased by is reduced by , when . Thus total reduction in collector base voltage, This also shows the change voltage across , capacitor between collector and base. Now charge supplied to the input of the circuit, Thus looking into the base, the appears to be J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers is capacitance i.e. Page 15 amplified by a factor of This amplification is known as Miller effect. The total input capacitance Thus to the transistor is in parallel with . At high frequencies, the value of reduces the input impedance of the circuit and affects the frequency response. Miller effect occurs only with a circuit in which there is a phase reversal such as a CE configuration. It does not occur in CB or CC circuits. Q. 12. What is gain-bandwidth product? Ans. For any amplifier, gain-bandwidth product is constant and is equal to i.e. frequency at which short circuit common emitter current gain, =1, at a frequency 6MHz, then Thus for given bandwidth. falls to unity. If = 6 MHz i.e. gain-bandwidth product is 6MHz. of an amplifier, gain can be increased only at the expense of Q. 13. Describe the difference between transistor. and hybrid equivalent of a BJT Ans. For transistor modeling, hybrid parameter equivalent circuit continues to very popular but now it shares the spotlight with an equivalent circuit derived directly from the operating conditions of the transistor i.e. model. Hybrid equivalent model suffers from being limited to a particular set of operating conditions if it is to be considered accurate. The parameters of the other equivalent circuit can be determined for any region of operation within the active region and are not limited by the single set of parameters provided. But model fails to have a parameter defining the output impedance level of the device and the feedback effect from output to input. Q. 14.For each model, list the conditions under which it should be applied. Ans. The obvious advantage of model is that only is required to perform an approximate analysis of an ac configuration. The value of can be determined from instrumentation such as curve tracer negating any need for a data sheet. The input impedance can be determined. Then, following a calculation of the system and an application of the equation But model fails to include effects of from a dc analysis of for CE configuration. the feedback J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers element and output Page 16 impedance effect of Once . So hybrid equivalent is used for analysis. But if conditions are that and can be ignored, the basic format of two models is same. is known one-half the approximate equivalent model is known for each configuration. If the model is used, can be determined directly by dc analysis. For hybrid model, the average value of the provided range of can be used although the range is normally provided for a particular Q-point. Of course a measured value of under operating conditions is better choice than the calculated value. Q. 15. Explain how coupling capacitor affects the operation of an amplifier. Draw required diagrams also. Ans. Effect of Coupling Capacitors: 1. The capacitors and are coupling capacitors used for blocking the dc part and allowing only the ac part of the signal to pass through. 2. Reactance of a capacitor is given by, 3. Thus, the capacitive reactance will increase with, decrease in frequency and it will decrease with increase in frequency f. 4. Therefore „the coupling capacitor will offer a very low reactance in mind and high frequency regions and they can be replaced by short circuit, without any problem. So they do not have any effect at medium and high frequencies. 5 At low frequencies however, the reactance of coupling capacitors will be large. Due to this, the voltage drop across them increases with reduction in frequency. 6. This increased voltage drop will reduce both the output voltage and gain of the amplifier in the low frequency region of the frequency response. Q. 16. Write short note on Emitter Follower. Ans. It is also a negative current feedback circuit. This circuits exhibits a large input impedance, a small output impedance, and a voltage gain of approximately unity. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 17 Further the output voltage tends to be in phase with the input voltage-hence the term “follower”. At first glance, one might be tempted to dismiss such a circuit as useless because of its unity voltage gain. However, its input and output impedances promote its use as input and output buffer stages in amplifier systems. The circuit of an emitter follower is shown in figure. The main difference between an emitter follower and conventional amplifier is the absence of collector load and emitter bypass capacitor. The emitter resistance itself acts as the load and the ac output voltage is taken across it. The biasing is provided either by base resistor method or potential divider method. The circuit consists of a resistance of the order of in the emitter itself and the collector is connected directly to the supply. Stabilization of operating point is exceptionally good because of high value of emitter resistance Operation. When input signal develops an output voltage . is applied to the base, the resulting emitter current equal to voltage opposes the ac signal voltage across the emitter resistance as it is in-phase opposition to . This . Thus it provides negative current feedback. Moreover, this voltage ( ) feedback to the input is proportional to the emitter current hence this circuit is called a negative current feedback circuit. It may be noted that when the input signal voltage goes through its positive half cycle the output voltage is also seen to go through its positive half cycle. Hence the output voltage is in phase with the input signal voltage i.e. the output voltage (emitter voltage) just follows the input voltage and hence the name emitter follower. Advantages 1. High input impedance and low output impedance, so it can be used for impedance matching. Sometimes it is called impedance transformer. 2. Because of 100 percent feedback, output is distortionless and bandwidth is very large. 3. Relatively high current gain and power gain. 4. Output and input ac voltages are in phase and also approximately equal in magnitude i.e. emitter output voltage closely follows the input and so it is called the emitter follower. Applications J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 18 Because of high input impedance and low output impedance an emitter follower is capable of transferring maximum power from the high impedance source to low impedance load. When an emitter is employed for this purpose, it is called a buffer amplifier. Though impedance matching can be achieved by employing a step-down transformer but emitter follower is preferred. It is because emitter follower is not more convenient than a transformer but it also provides better frequency response. There are many instances (especially in digital electronics) where an increase in current is required but no increase in voltage is required. For such situations emitter follower, because of its high current gain, can be employed. Q. 17. What do you understand by class A, B and C power amplifiers. Ans. Transistor power amplifiers handle large signals. Many of them are driven so hard by the input large signal that collector current is either cut-off or is in saturation region during a large portion of the input cycle. So such amplifiers are generally classified according to their mode of operation. This classification is based on the amount of transistor bias and amplitude of the input signal. It takes into account the portion of the cycle for which the transistor conducts. They are classified as below: 1. Class A Power Amplifiers. In this case, transistor is so biased that the output current flows for the entire cycle of the input signal. Thus the operating point is so selected that the transistor operates only over the linear region of its load line. So such an amplifier can amplify input signal of small amplitude. As the transistor operates over the linear portion of load line, the output waveform is exactly similar to output waveform. So class A amplifiers are characterised by a high fidelity of the output. Such amplifiers are used where freedom from distortion is prime aim. Operation is restricted only over a small central region of the load line so such amplifiers can be used for amplifying signals of small amplitude. Also ac power output per transistor is small. The maximum possible overall efficiency with resistive load is 25%. The maximum possible collector efficiency resistive load is 50%. In case an output transformer is used, both of these efficiencies are 50%. 2.Class B Power Amplifiers. In this case, the transistor bias and signal amplitude are such that out-put current flows only during positive half cycle of the input signal. At zero signal, the collector current is zero and no biasing system is required in class B amplifiers. The operating point is selected at collector cut-off voltage, Because of total absence of negative half cycle from the output the signal distortion is high. Zero signal input represents the best condition for class B amplifiers because of zero collector current. The transistor dissipates more power with increase in signal strength. In comparison to class A amplifiers average current is less, power dissipation is less. So overall efficiency is increased. The theoretical efficiency in class B operation is about 78.5% while it is only 50% in class A operation. 3. Class C Power Amplifiers. A class C power amplifiers is biased for operation for less than 180° of the input signal cycle and will operate only with a tuned or resonant circuit which provides a full cycle of operation for the tuned or resonant frequency. Such power amplifiers are, therefore, employed in special areas of tuned circuits, such as radio or communications. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 19 Q. 18. Draw the block diagram of a multistage amplifier having n-stages. Write expression for its gain (A). Ans. A multi-stage amplifier can be represented by a block diagram, as shown in Figure. It is to be noted that the output of the first stage makes the input for the second stage, the output of second stage makes the input for third stage and so on. The signal voltage is applied to the input of the first stage and the final output at the output terminals of the last stage. is available Input to the first stage, = Signal voltage Output of first stage or input to the second stage is the voltage gain of first stage Output of second stage or input to the third stage is the voltage gain of second stage Similarly the output of nth stage (or final output) is the voltage gain of the last stage. Overall gain of the amplifier is given as: (visualising the multi-stage amplifier as a single amplifier with input voltage and output voltage ) i.e. the gain of a multi-stage amplifier is equal to the product of gains of individual stages. It is worthwhile to mention here that in practice total gain A is less than due to the loading effects of the following stages. When the gains are expressed in db, the overall gain of a multi-Stage amplifier is given as the sum of gains of individual stages in decibels (db). Taking logarithm (to the base 10) of equation (1) and then multiplying each term by 20, we have J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 20 In the above equation, the term to the left is the overall gain of the multi-Stage amplifier expressed in decibels. The terms on the right denote the gains of the individual stages expressed in decibels. Thus, Q. 19. Draw the circuit diagram of a push-pull amplifier. Explain its operation. Discuss advantages and disadvantages. Ans. Push-Pull Amplifiers. The push-pull amplifier and is frequently used in the output stages of electronic circuits. It is employed whenever high output at high efficiency is required. The audio power amplifiers used in transistor receivers, taperecorder, record-player, public address systems etc. make use of such circuits. These systems are usually operated by batteries or cells and, therefore, amplifier efficiency is of prime importance. 1. Basic Principle of Working of Push-Pull Amplifier. The basic principle on which push-pull amplifier operates is that the input signal is converted before amplification1 into two separate signals which are identical except for a 180° phase difference. Each of these signals is applied as the input to one of the transistors are 180° out of phase, so the output of the transistors. The output transformer is connected in the collector circuits of the transistors in such a way that the collector currents of the two transistors combine to provide an overall signal having the same waveform as the original input signal. The magnitude of this combined output signal is larger than the input signal. Push-pull amplifiers can be operated in class A, class AB or class B mode. Class A push-pull amplifier is discussed below. 2. Circuit Arrangement. The circuitry of a typical push-pull amplifier is shown in Figure. As already mentioned, push-pull amplifier uses two identical transistors, say . The emitter terminals of the two transistors connected together. The input signal is applied to the inputs of two transistors through centreJ Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 21 tapped step-up transformer which provides opposite polarity signals to the two transistors. The collector terminals of both the transistors are connected to end terminals of centre-tapped primary of output transformer The power supply is connected between the emitter terminals and the centre-tap of primary of output transformer. Resistors load and are used to provide the proper bias for the circuit. The is connected across the secondary of the output transformer . The turn- ratio of the output transformer is chosen so as to match the load with the output impedance of the amplifier and therefore, transfer maximum power. The quiscent currents of the two transistors, which are equal in magnitude, flow in opposite directions through each half of primary of the output transformer so no saturation of the magnetic core occurs. 3. Circuit Operation. When the base current of one transistor is being driven positive with respect to the quiescent point Q, the collector current increases, thus causing a decrease in collector potential relative to ground. At the same time, however, a reverse action takes place in the base circuit of the second transistor, i.e. base current decreases causing a drop in the collector current with a consequent rise in collector potential w.r.t. ground. This means that the. ac current flowing through the transformer primary winding is in the same direction. As increases (i.e. pulls), the current decreases (i.e. pushes). Hence the name push-pull amplifier. The overall operation results in ac voltage induced in the secondary of the output transformer and thus ac power is delivered to the load. The difference of two collector currents is illustrated in Fig. . 4. Distortion. In view of the fact that the load current in the secondary of the outputtransformer is proportional to the difference of collector currents. It follows that the harmonic content will be less than it is in either of the collector currents because of cancellation effects. Thus the push-pull arrangement yields much less distortion in the output. This is illustrated below. The base currents of transistors respectively are expressed as: J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 22 Their collector currents are expressed as: The output voltage induced in the output transformer secondary, being proportional to From the above equation for output voltage it is obvious that all even harmonics are eliminated. This conclusion was reached on the assumption that the two transistors are identical. If their characteristics differ appreciably, the appearance of even harmonics is not ruled out. 5. Advantages. 1. Because of absence of even harmonics in the output of the pushpull amplifier, such a circuit gives more output per active device for a given amount of distortion or less distortion for a given power output per transistor. 2. As already mentioned earlier, the decomponents of the collector current oppose each other magnetically in the transformer core. This eliminates any tendency toward core saturation and consequent non-linear distortion that may arise from the curvature of the transformer magnetization curve. 3. Another advantage of this system is that the effects of ripple voltage that may be contained in the power supply because of inadequate filtering will be balanced out. This cancellation results because the currents produced by the ripple voltage are in opposite directions in the transformer winding, and so will not appear in the load. Of course, the power supply hum will also act on the voltage-amplifier stages, and so will be part of the input to the power stage. This hum will not be eliminated by the push-pull circuit. 6. Disadvantages. The drawbacks of push-pull amplifiers are : (i) requirement of two identical transistors (ii) need of use of driver stage to furnish two equal and opposite voltages at the input and (iii) need of bulky and expensive transformer. Q. 20. What do you mean by coupling of two amplifier stages. Explain with requisite circuit diagrams the resistance-capacitance coupling scheme. Ans. In a multistage amplifier, the output of first stage is combined to the next stage through a coupling device. The process is known as coupling. The coupling device is used to: (i) transfer the ac output of one stage to the input of next stage. (ii) Block the dc to pass from one stage to the next stage i.e. to isolate the dc conditions. R-C (Resistance-Capacitance) Coupled Transistor Amplifier J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 23 A two-stage R-C coupled amplifier using N-P-N transistors in CE configuration is shown in Figure. The two transistors used are identical and use a common power supply The resistors form the biasing and stabilization network. In this arrangement, the signal developed across collector resistor of the first stage is coupled to the base of the second stage through the coupling-capacitor . As the coupling from one stage to the next is obtained by a coupling capacitor followed by a connection to a shunt resistor, therefore, such amplifiers are called resistancecapacitance coupled or R-C coupled amplifiers. The input capacitor voltage to the base of transistor parallel with the resistor function of input circuit. . In the absence of couples ac signal the signal source will be in and the bias voltage of the base will be affected. Thus the is to allow only the alternating current from signal source to flow into the The emitter-bypass capacitor , offers low reactance path to the signal. If it is not present, then the voltage drop across will reduce the effective voltage available across the base-emitter terminals (the input voltage) and thus reduces the gain. The coupling capacitor transmits ac signal but blocks the dc voltage of the first stage from reaching the base of the second stage. Thus the dc biasing of the next stage in not interfered with. For this reason, the coupling capacitor is also called the blocking capacitor. 1. Operation. When ac signal is applied to the base of the first amplifier, it appears in the amplified form across collector load . The amplified signal developed across is transmitted to the base of next stage of the amplifier through coupling capacitor This is further amplified by the next stage and so on. Thus the cascade stages amplify the signal and thus the overall gain is considerably increased. The phase of output is the same as that of input because the phase is reversed twice by two transistors as they are J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 24 in CE configuration. It may be mentioned here that the overall gain is less than the product of the gains of individual stages. This is because when a second stage is made to follow the first one, the effective load resistance of the first stage is reduced because of the shunting effect of the input resistance of the second stage. This reduces the gain of the stage which is loaded by the next stage. For example, in a 4-stage amplifier the gains of first three stages will be reduced due to loading effect of the subsequent stage. However, the gain of final or last stage (.4th stage in this case) which has no loading effect of subsequent stage, remains unaffected. Thus the overall gain shall be less than the product of the gains of four stages. 2. Analysis. For drawing approximate model of the circuit shown in Fig. following assumptions are made. 1. is so small that the voltage sources 2. is so large that it can be considered as an open-circuit. 3. The bias resistors can be neglected. are very large in comparison to 4. The reactance of emitter-by pass capacitor small that parallel combination of and . for any given input frequency is so can be considered as a short-circuit. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 25 Q. 21. Draw the block diagram of negative feed back amplifier. Derive an expression for the voltage gains of an amplifier of gain (A) when subjected to negative feedback(B). Ans. When the feedback voltage (or current) is so applied as to weaken the input signal (i.e. when the feedback is inphase opposition to the input signal), it is called negative, inverse or degenerative feedback. Negative feedback reduces the amplifier gain but it has numerous advantages (such as gain stability, reduction in non-linear distortion, reduction in noise, increase in bandwidth or improvement in frequency response, increase in input impedance and decrease in output impedance) and is frequently used in amplifier circuits. The reduction in gain due to negative feedback, can always be compensated by increasing the number of stages. Principle of Feedback in Amplifier For an ordinary amplifier (i.e. one without feedback), the voltage gain equals the ratio of output voltage and input voltage, as illustrated in Fig. 2. .e. Voltage gain, The gain is called the open-loop gain. A block illustrating the principle of feedback in an amplifier is given in fig. 1. Let a fraction of the output voltage the open-loop gain be supplied back to the input and A be Now the input voltage becomes in case of positive feedback …(1) in case of negative feedback …(2) depending on whether the feedback voltage is in phase with or in J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 26 phase opposition to the input signal voltage. Consider a negative feedback case. The actual input voltage to the amplifier is the signal voltage less feedback voltage i.e. Actual input voltage to amplifier, The output voltage must be equal to the input voltage by amplifier gain A. So, But is called the voltage gain of the amplifier with feedback, referred to as closed-loop gain. multiplied . This is also Thus voltage gain with negative feedback, Similarly voltage gain with positive feedback, The term ratio and A is called the feedback factor whereas is known as the feedback is known as loop gain. In general both A and are phasor quantities (having magnitude as well as phase). Every amplifier stage introduces a phase shift of 180° (assuming CE configuration, as usual). Thus for a 3-stage amplifier, total phase shift between the output and input will be 3 x 180° = 540°or 180°. is usually arranged to have a phase value of 00 or 180° (i.e. either inphase with input voltage or in phase opposition to it). Since is a complex quantity, it can be observed that 1. If is less than unity for equation (5), then exceeds A. This condition corresponds to positive feedback because voltage feedback adds to input signal voltage and increases input voltage . Positive feedback, though, increases the gain but it reduces the stability and increases the distortion and so it is usually avoided. 2. If is equal to zero then the gain becomes infinite. This is only possible when input is zero. Thus the amplifier is then capable of giving output voltage even with zero signal. Under such situation the circuit operates as an oscillator. 3. If is greater than unity then smaller than A. This means the feedback voltage becomes smaller than input signal voltage J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers . This corresponds to Page 27 negative feedback in an amplifier. Though negative feedback reduces the gain of the amplifier but improves its performance in several aspects, given in the succeeding Articles. It may be noted that negative voltage feedback does not affect the current of the circuit. Note: The assumptions made in investigating the effect of negative feedback on the amplifier characteristics are: 1. Basic amplifier is unilateral from input to the output (this is not valid if for a CE transistor amplifier). 2. Passive feedback network is unilateral and transmits a signal from the output to the input but not in the opposite direction. 3. Feedback network presents no loading on the output of the basic amplifier. 4. There is no forward transmission through the feedback network. Q. 22. Write short note on Distortion in amplifier circuits. Ans. Under ideal conditions, amplified signal must have exactly the samewaveform as the input signal. But in practical amplifiers, this ideal condition is never achieved. Some changes in the wave-form may take place in addition to the increase in the amplitude. Such a change is called the distortion and is undesirable because it may change the intelligence (useful information carried by the signal, as illustrated in figure 1. There are three basic types of distortion in amplifiers viz amplitude (or non-linear) distortion, frequency distortion and phase distortion. 1. Amplitude or Non-Linear Distortion. For a small swing of input signal, only a small part of the trans-conductance curve, as illustrated in figure 2, is used. This small part is almost linear and operation over this region of the curve is called the linear operation because the changes in the output current are proportional to the changes in input voltage. In such a case, the shape of the amplified waveform is the same as the shape of the input waveform and therefore no distortion occurs. But for large input signal, the operation becomes non-linear. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 28 Because of non-linearity of the trans-conductance curve, the resulting collector current is no longer truly sinusoidal. The upper half of the wave is elongated. Since this output current flows through a load resistance, the output voltage will also have non-linear distortion. Such a distortion produces new frequency components in the output which are not present in the input signal. These frequencies are usually harmonics of the input frequency. Hence this distortion is sometimes referred to as the harmonic distortion. 2. Frequency Distortion. Frequency distortion is caused in an amplifier when signal components of different frequencies are amplified differently. It may occur even with - small signal operation. Fig. 3 illustrates this type of distortion. The input signal spectrum contains many equal amplitude sinusoidal components. Now if the cut off frequency is less than the highest sinusoidal frequency, the higher frequencies in the output spectrum are attenuated (cut off). Frequency distortion may be caused either by the electrode capacitances of the amplifying device or by the reactance elements J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 29 associated with the circuit. In a practical case, frequency distortion is always present and the gain is constant only in the middle frequency range but falls off for low and high frequencies. The quality of speech or music signals is affected by such distortion. 3. Phase Distortion. Such a distortion is said to be present when signals of different frequencies suffer unequal phase shift, as illustrated in fig. 4. Because of the phase distortion, the third harmonic component changes its phase with respect to the fundamental at the output. Phase distortion is caused by the electronic component‟s used in the amplifier circuit. The amount and kinds of distortion that can/cannot be tolerated depend on the particular application of the amplifier. An amplifier that is entirely satisfactory for one application might not be so for another because of the type of distortion introduced by it. Q.23. Write short note on Effect of —ve feedback on output resistance of an amplifier. Ans. (c) Effect of negative feedback on output impedance. Just an high input impedance is advantageous to an amplifier, so is low output impedance. With lower output impedance, the amplifier is better suited to drive a low impedance load. Such a desirable characteristic can be had by employing negative feedback. The effect of negative feedback on the output impedance of an amplifier is explained below. The voltage-series feedback circuit given in Figure provides sufficient circuit detail for determining output impedance with feedback. The input terminals are shortcircuited so that is now the only input voltage to the amplifier. Now a voltage sources is applied at the output terminals so that the applied source. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers current is drawn from Page 30 Thus series voltage negative feedback reduces the output impedance of an amplifier by a factor reduced. This is the same factor by which voltage gain is Q. 24. Explain the Miller theorem and what is its importance? Ans. Consider an arbitrary circuit configuration with N distinct nodes 1, 2, 3,……..N. Let node voltages be …….. where since N is the reference on ground, node. Node I and 2 are interconnected by impedance Z‟. Let Designate the ratio known. by K, which in sinusoidal state will be complex number and will be a function of laplace transform variable s. Current drawn from through Z‟ can be obtained by disconnecting terminal 1 from z‟ and by bridging an impedance z‟/(l-k) from Current to ground. is given by, J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 31 were shunted across terminals , the current drawn from would be the same as that of original circuit. This theorem will be useful in making calculations if K is known. Q. 25. Explain the role of coupling capacitor in an amplifier circuit? Ans. For coupling of one stage of amplifier to the next stage a capacitor called coupling or blocking capacitor is used. Because of it, the output across the load resistance is free from the collector dc voltage. Q. 26. Write the characteristics in ideal voltage amplifier. Ans. Main characteristics of voltage amplifiers is to present a high resistance to the input transducer to minimize the loading effects and to provide a large enough voltage signal to the large signal amplifier stages to operate such output devices like loudspeaker, sservo-meteretc. Q. 27. Define bandwidth and gain of an amplifier? Ans. The frequency response of an amplifier signifies different range of frequencies. The low frequency and high frequency at which gain falls at 3db are designated as and . The frequency difference is termed as amplifier bandwidth. An amplifier amplifies small signal into large signals at output The change on amplification can be in voltage, current or power. So output change with respect to input change is calculated as ratio and termed as gain of amplifier. Q. 28. What will happen to output ac signal if the dc level is insufficient in an amplifier? Sketch the effect of wave form. Ans. As mentioned the dc bias is insufficient or the amplifier is insufficiently biased. That means that the amplifier is in cutoff. In such a situation of biasing, if an ac input J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 32 signal is applied the output would be only switching wave form, since as the input rises above the threshold of cutoff, the output will switch to low voltage, otherwise the output will remain in high voltage. Hence the output voltage would be in out of phase by 180° w.r.t input but would be switching between high and low voltage i.e. and GND. Q. 29. What do you mean by Gain-Bandwidth product? Ans. For any amplifier, when the bandwidth is multiplied by gain at mid frequencies, it is known as gain-bandwidth product. For any amplifier, gain bandwidth product is constant. For example if gain band-width product is 6 MHz. =1 at a frequency of 6 MHz, then Q. 30. In the circuit given in figure, and input signal is of 2mV (rms.) Determine input resistance, output resistance, current gain, voltage gain and power gain (i) taking into account (ii) neglecting . What would be rum value of signal voltage across the load? Assume a = 0.98. Ans. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 33 Q. 31. A transistor amplifier is shown. The parameters of the transistor are = , and the output load resistor dissipates a signal power of 10mW. Determine the power gain of the stage and the input signal emf E. .The power of 10mW. Determine the power gain of the stage and the input signal emf E. The reactances of the capacitors may be neglected. Draw the equivalent circuit of the amplifier. Ans. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 34 The ac equivalent circuit of the amplifier is: Q. 32. Explain Miller theorem. Explain emitter follower using this. Ans. Consider an arbitrary circuit configuration with N distinct nodes, 1,2,3……..N, as shown in diagram. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 35 Let node voltages be where = 0 since N is the reference ,on ground, node. Node I and 2 ar interconnected with an impedance Z‟. Assumed that is known = K, which, in the sinusoidal steady state will be complex number and will be a function of Laplace transform function variable S. Now current drawn from through Z‟ can be obtained by disconnecting terminal 1 from z‟ and by bridging an impedance z‟/(I-k) from The current to ground. is given by, Therefore is Z1 = Z‟/(1 — k) were shunted across terminals , the current drawn from would be same as that from the original circuit. So same in both circuits. Now drawn from between remains may be calculated by removing Z‟ and by connecting and ground an impedance is given by Since identical node equations (kCL) are obtained from the configurations of both figures, these two networks are equivalent. It is useful to use this theorem only if it is possible to find value of K by some independent means. Q. 33. For the amplifier shown in figure, calculate J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 36 Ans. Miller‟s theorem is applied at 200k resistance R‟ so that the following figure is obtained, where is the voltage gain from base to collector. Assuming this gain is much larger than unity The effective load resistance is J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 37 Assumed that Q. 34. In a small signal amplifier shown below, are negligible. (a) Draw the h parameter equivalent circuit for the amplifier. Calculate the input and output impedance and the voltage gain. (b) Give the DC load line of the circuit and find Q point. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 38 Ans. is so negligible, so is close to infinity, hence open is negligible, is short (b) J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 39 Q. 35. Given (a) Common-emitter hybrid equivalent circuit (b) Common base Determine model. Ans. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 40 (b) Common base model. Q. 36. In a CE transistor amplifier when signal changes by 0.02 V, the base current changes by and collector current by 1 mA. If the collector resistance and (i) Voltage gain (ii) Current gain (iii) Input impedance (iv) AC load resistance and (v) Power gain. . Find; Ans. (i) Voltage gain, (ii) Current gain (iii) Input impedance, (iv) AC load resistance J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 41 (v) Power gain, APPENDIX Q. 1. Draw the practical circuit of complementary symmetry push pull amplifier and explain its working? Ans. This arrangement uses two transistors having complementary symmetry (one npn and another pnp). That is why it is called complementary. They have symmetry as they are made with the same material and technology and are of maximum rating. In the circuit, resistors provide the voltage divider bias to forward bias the emitter base junction of transistor and similarly provide the voltage divider bias for emitter junction of transistor . The resistors are so selected that under zero signal condition, the operating point is cut-off and so no collector current flows. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 42 Signal applied at input goes to the base of both : Both conduct in opposite half cycles of input signal. This results in a half cycle of output voltage across the load resistor due to and then is forward biased and conducts and develops second half cycle. Since collector current from each transistor flows through the load during alternate half cycles of input signal, no centre tapped output transformer is required. One obvious disadvantage is the requirement of two supplies and difficulty of obtaining matched complementary transistors. Q. 2. Draw two stages of RC coupled, direct-coupled and transformer coupled amplifiers and make a chart showing the comparison of three coupling schemes? Ans. Two stages RC coupled Transistor amplifier. Two stage transformer coupled transistor amplifier. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 43 Two stage direct coupled transistor amplifier. Comparison of different types of Couplings: J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 44 Q. 3. (a) Draw the circuit of wein bridge oscillator using op amps. Explain its working principle. requirement? What is its frequency of oscillations and (b) A certain colpitt oscillator uses a tank circuit with L = 2OmH, pF, = 200 = 300 pF. Calculate the frequency of oscillations? Ans. (a) An oscillator circuit in which a balanced bridge is used as the feedback network is wein bridge oscillator. Active element is operational amplifier which has a very large positive voltage gain (infinite) input resistance. , negligible output resistance, and very high J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 45 Two auxiliary voltage such that have the same phase angle at the frequency, And at this frequency If a null is desired, then must be chosen so that (b) Q. 4. (a) Draw the block diagram of regulated power supply and explain the role of each block. (b) Draw the circuit of a class A direct coupled power amplifier. Show that the dissipation in the transistor is maximum under quiescent conditions. Obtain the expression for maximum efficiency of the circuit. Ans. (a) Figure shows the complete circuit of a regulated power supply with a transistor serves regulator as a regulating device. The ac voltage is connected to a transformer which transforms the voltage level for the desired dc output. A bridge rectifier then provides a full wave rectified voltage that is initially filtered by a or J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 46 CLC filter to produce a dc voltage. Resulting dc voltage usually has some ripple or ac voltage variation. A regulating circuit use this dc input to provide a dc voltage that not only has much less ripple voltage but also remains constant even if the input dc voltage varies some what on the load connected to the output dc voltage changes. (b) A schematic circuit of a series fed class. A power amplifier using resistive load . The term series fed is because from the fact that the load is connected in series with the transistor output. Signals handled by this circuit is in the range of volts and the transistor used in power transistor capable of operating in the range of few watts. It is used very less because of its poor efficiency of collector. The output characteristics with operating point Q are important represents no signal collector current and collector emitter voltage respectively. When ac signal is applied, then Q point shifts up and down causing output current and voltage to vary about it. The output current increases to the collector emitter voltage increases to and falls to Similarly, and falls to Input power from collector supply voltage, The power drawn from the collector supply is used in the following two components (i) Power dissipated in collector load as heat (ii) Power supplied to the transistor Power supplied to the transistor, (dc) is subdivided into ac power developed across the load resistor constituting ac power output and is given as J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 47 With zero signal applied at the input of class A power amplifier, ac power developed across the load reduces to zero and therefore all the power fed to transistor is wasted in the form of heat. Thus, a transistor dissipates maximum power under zero signal condition. Q. 5. Show that efficiency of class B push pull amplifier is 78.5%? Ans. The power provided to the load coupled to the amplifier is drawn from the dc power supply and is considered an input dc power. The input dc power is given as, is the average or direct current taken from the dc supply In class B operation the current drawn from a single power supply is a fuel wave rectified signal, thus Total collector power dissipation for the two transistors, J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 48 Hence Proved. Q. 6. Draw the hybrid parameter equivalent of high frequency analysis of a transistor. Ans. For high frequency analysis, a transistor is replaced by hybrid shown. is base spreading resistance model as is capacitance connected between B‟ and E. is there for feedback effect between output and input is taken into account by connecting it between B‟ and C. is the current generator. Q. 7. Write the different types of power amplifiers? Ans. Power amplifiers are primarily audio and radio power amplifiers. Audio power amplifiers are small signal amplifiers that raise power levels of signals that have audio frequency range (20HZ - 20 kHZ). J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 49 Radio power amplifiers, large signal amplifiers, raise the power level of signals that have radio frequency range. Classification according to mode of operation (i) Class A power amplifier —> The transistor is so biased that the output current flows for the entire cycle of input signal. (ii) Class B —> The transistor bias and signal amplitude are such that current flows only for positive half cycle. (iii) Class AB —> The output signal swings between 180° and 360° (iv) Class C power amplifier —> It is biased for less than 180° (v) Class D power amplifier —> It is on for very short intervals. J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 50 J Srinivasa Rao –Small Signal Low frequency Transistor Amplifiers Page 51