Fall 2015 EE Courses Overview Freshman Sophomore Physical Physical Training 1 Training 2 Academic Academic English 1 English 2 Chemistry for Engineers Critical Thinking Physics 1 Physics 2 Calculus 1 Calculus 2 Introduction to Electrical Engineering 22 credits Ho Chi Minh’s Thought Introduction to Computer p for Engineers 20 credits Senior RF Design General Elective 1 Antenna and Microwave Engineering 2 RF Circuit Design 3 4 5 6 Electronics & Embedded Systems y Note: Each student has to select six elective courses, where two of the elective courses are compulsory for each specialization. 1 Analog Electronics 2 Embedded Real-time Systems 3 4 5 Physics 3 Calculus 3 Applied Linear Algebra Processes Principles of Marxism Junior Physics 4 6 Wireless Communications 1 Computer & Comm. Comm Networks 2 Telecommunication Networks 3 4 5 6 Probability and Random Processes Differential Equations Processes Signal Processing Prerequisite Co‐ requisite Lab Mandatory Courses 1 Control Systems 2 Embedded E b dd d Real-time R l ti S Systems t 3 4 5 6 Revolutionary Lines of VCP Programming for Engineers Electronics Devices Digital Electronics Principles of EE1 Principles of EE2 Signals & Systems Digital Signal Processing Entrepreneurship Digital Di it l Logic L i Design Electromagn Electromagnetic Theory processor Principles of Communications S i Senior Th i Thesis 14 credits 10 credits 23 credits 20 credits Systems 15 credits Summer Internship p 17 credits 1 Fall 2015 Introduction to Electrical Engineering g g1 Textbook: Electric Circuits James W. Nilsson & Susan A. Riedel 9th Edition. Link to download materials: Blackboard of IU or https://www.mediafire.com/folder/b4wng0vg8aovp/PrinciplesofEE1 or htt //t http://teachingassistanteeiu.blogspot.com/ hi i t t i bl t / 2 Fall 2015 Survival Skills To make efficient use of your time and money, money you should strive to attend every lecture. Supplements might be provided during class. class “Understanding” is the key. It’s I ’ not just j about b getting i a ‘pass’, ‘ ’ Try T to have h fun while learning and practicing. As a IU student, take pride in yourself. Never cheat. 3 Fall 2015 A Story http://www.gentraco.com.vn/vn/tin-tuc/gia-gao-xuat-khau-tang-nhe.html VN is a agricultural country Export: ~$410/ton Almost 1,000,000,000 transistors Features as small as a nanometer @ amazon.com: $322 - 408 4 Fall 2015 Moor’s Law 5 Fall 2015 6 Fall 2015 Prologue to Electronics S9 4K UHD TV Electronics = Cell phone Laptop Electronic y systems = Amplifiers, A lifi Signal sources, Power supplies, and Digital logic circuits Tablets 7 Fall 2015 Prologue to Electronics (cont.) • Electronics is defined as the science of the motion of charges g in a gas, vacuum, or semiconductor. • Today, electronics generally involves transistors and transistor circuits. i it Microelectronics Mi l t i refers f to t integrated i t t d circuit i it (IC) technology, which can produce a circuit with multimillions of components on a single piece of semiconductor material. 8 Fall 2015 ELECTRONIC CIRCUITS The analysis of electronic circuits is divided into two parts: one deals with the dc input and its circuit response (amplification, filter,..), and the other deals with the signal input and the resulting circuit response. 9 Fall 2015 Devices in Electronic Circuits • Passive components – cannot provide power gain – e.g., e g resistor resistor, capacitor capacitor, inductor • Active devices – can provide power gain and must draw power from a supply – e.g., Vacuum tube devices, silicon transistors – Enable signal amplification which is a key technology for the success of long distance telephony 10 Fall 2015 Circuit theories and skills that you MUST learn • • • • • • • • KCL and KVL Nodal and Mesh analysis Linearityy and Superposition p p Source transformation Thevenin and Norton theorems Maximum power transfer AC analysis … You should already be able to analyze circuits that consist of R R, C and LL, ii.e., e passive circuits circuits. 11 Fall 2015 CHAPTER 1 – Circuit Variables 12 Fall 2015 What is an Electric Circuit? “ A mathematical model that approximates the behavior of an actual circuit system system.” Circuit theory is a special case of electromagnetic field theory. mathematical model actual circuit system 13 Fall 2015 International System of Units (SI) SI unit can be divided into two classes: base units and derived units Base units Derived units 14 Fall 2015 Standardized prefixes to signify powers of 10 Multiple Prefixes Sub-multiple Prefixes 15 Fall 2015 Voltage (Electric) “V” The concept of electric charge is the basis for describing all electrical phenomena. • The charge is bipolar: positive and negative charges. charges • The electric charge exists in discrete quantities, which are integral multiples of the electronic charge, 1.6022 × 10-19 C. In circuit theory, the separation of charge creates an electric force (voltage), and the motion of charge creates an electric fluid (current). The voltage (electric) is the energy per unit charge. v dw dq J/C or (V) 16 Fall 2015 Electric Current “I” The electrical effects caused by charges in motion depend on the rate of charge flow. The rate of charge flow is known as the electric l t i current, t which hi h iis expressed d as dqq i dt C/s or (A) Thus in a current of 1 ampere, charge is being transferred at a rate of 1 coulomb per second 17 Fall 2015 The ideal basic circuit element • Attributes of the ideal basic circuit element: • It has only y two terminal • It is described mathematically in terms of current and/or voltage • It cannot be subdivided into other elements. • Note: • It is called ideal because it does not exist as a realizable physical component. Ideal component realizable physical component. 18 Fall 2015 Interpretation of Reference Directions 19 Fall 2015 Example 1.1 No charge exists at the upper terminal of the element in the Figure. for t < 0. At t = 0, a 5 A current begins to fl into flow i t th the upper tterminal. i l a) Derive the expression for the charge accumulating at the upper terminal of the element for t > 0. b) If the current is stopped after 10 seconds, how much charge has accumulated at the upper terminal? 20 Fall 2015 Solution a) From the definition of current, the expression for charge accumulation due to current flow is Therefore, Therefore b) The total charge that accumulates at the upper terminal in 10 seconds due to a 5 A current is q(10) = 5(10) = 50 C. 21 Fall 2015 Example 1.2 The current at the terminals of the element in Fig is: i = 0,, t < 0;; i = 20e‐5000t A, t ≥ 0. Calculate the total charge (in microcoulombs) entering the element at its upper terminal. 22 Fall 2015 Solution Current is the time rate of change of charge, or i = dq/dt. In this problem, we are given the current and asked to find the total charge. To do this, we must integrate the equation to find an expression for charge in terms of currents: We are given the expression for current, i, which can be substituted into the above expression. To find the total charge, we let t ∞ in the integral. Thus we have: 23 Fall 2015 Active and Passive Elements • Active element is one that models a device that is capable of generating electric energy Example: Sources • Passive element is one that models a device that cannot generate electric energy Example: Resistors, inductors and capacitors 24 Fall 2015 Power and Energy Power and energy calculations also are important in circuit analysis. Power is the time rate of expanding or absorbing energy dw dw d d dq d . vi p dt dq dt • • Eq. is correct if the reference direction for the Eq current is in the direction of the reference voltage drop across the terminals. If the power is positive (that is, if p > 0), power is being delivered to the circuit inside the box. If the power is negative (that is, if p < 0), power is being extracted from the circuit i id the inside th box. b Figure summarizes the relationship between the polarity references for voltage and current and the expression for power. 25 Fall 2015 For example, suppose that we have selected the polarity references shown in Fig. g (b). ( ) Assume further that our calculations for the current and voltage yield the following numerical results: i = 4 A and v = ‐10 V. Then the power associated with the terminal pair 1,2 is p = -(-10)(4) = 40 W. Thus the circuit inside the box is absorbing g 40 W. If we choose the reference polarities shown in Fig. (c). The resulting numerical values are i = ‐4 A, v = 10 V, and p = 40 W. Note that interpreting these results in terms of this reference system gives the same conclusions that we previously obtained—namely, that the circuit inside the box is absorbing 40 W W. 26 Fall 2015 Example 1.4 When a car has a dead battery, it can often be started by connecting the battery from another car across its terminals. The positive terminals are connected together as are the negative terminals. The connection is illustrated in the Figure. Assume the current i in the Figure is measured and found to be 30 A. a) Which car has the dead battery? b) If this connection is maintained for 1 min, how much energy is transferred to the dead battery? 27 Fall 2015 Solution a) In car A, the current i is in the direction of the voltage drop across the 12 V battery (the current i flows into the + terminal of the battery of car A). Thus using the passive sign convention, p = vi = 30 × 12 = 360 W since the power is positive, the battery in car A is absorbing power, so car A must have the “dead” battery. b) 28 Fall 2015 CHAPTER 2 – Circuit Elements There are five ideal basic circuit elements: • resistors, • voltage g sources,, • current sources, • inductors, inductors and • capacitors. 29 Fall 2015 Electrical Resistance • Resistance is the capacity of materials to holdback the flow of current or, or more specifically, specifically the flow of electric charge. charge • The circuit element used to model this behavior is the resistor. R 30 Fall 2015 Voltage and current sources • An electrical source is a device that is capable of converting non‐electric energy to electric energy and vice versa. Example: battery, generator, etc. • Ideal voltage and current sources – An ideal voltage source is a circuit element that maintains a prescribed voltage across its terminal regardless dl in those terminals. off th the currentt flowing – An ideal current source is a circuit element that maintains a prescribed current across its terminal regardless those terminals terminals. of the voltage across 31 Fall 2015 Independent and dependent sources • An independent source establishes a voltage or current without relying on voltage or currents elsewhere in the circuit. • A dependent source establishes a voltage or current whose value depends on the value of a voltage or current elsewhere in the circuit. Voltage source Current source Controlled voltage source Controlled current source 32 Fall 2015 Example 2.1 Which connection is valid and which is not? Solution? 33 Fall 2015 Ohm’s Law It is the algebraic relationship between voltage and current for a resistor v = iR v = the voltage in volts i = the th currentt in i amperes R = the resistance in ohms (Ω) 34 Fall 2015 Ohm’s Law (cont.) 35 Fall 2015 Example 2.2 I each In h circuit i it iin th the Fi Figure, either ith th the value l off v or i is i nott kknown. a) Calculate the values of v and i. b) Determine the power dissipated in each resistor. a) Va = (1)(8) = 8 V. ib = (50)(0.2) = 10 A. vc = ‐(1)(20) = ‐20 V. id = ‐ 50/25 = ‐ 2 A 36 Fall 2015 Example 2.3 37 Fall 2015 Kirchhoff’s Law 38 Fall 2015 Kirchhoff’s Law • Kirchhoff’s Current Law (KCL) The algebraic sum of all the currents at any node in the circuit equals zero • Ki Kirchhoff’s hh ff’ V Voltage lt Law L (KVL) The algebraic sum of all the voltages around any close path equals q zero 39 Fall 2015 Kirchhoff’s Current Law 40 Fall 2015 Kirchhoff’s Voltage Law 41 Fall 2015 Kirchhoff’s Law 42 Fall 2015 Example 2.4 Sum the currents at each node in the circuit shown in Figure Figure. Note that there is no connection dot (•) in the center of the diagram, where the 4 branch crosses the branch containing the ideal current source ia. IIn writing iti th the equations, ti we use a positive sign for a current leaving a node. The four equations are 43 Fall 2015 Example 2.5 Sum the S th voltages lt around d each hd designated i t d path th iin th the circuit i it shown h iin Figure In writing the equations, we use a positive sign for a voltage drop. The four equations are 44 Fall 2015 Example 2.6 45 Fall 2015 Example 2.6 (cont.) KVL 46 Fall 2015 Example 2.6 (cont.) 47 Fall 2015 Circuit containing dependent sources 48 Fall 2015 Example 2.7 49 Fall 2015 Example 2.8 50 Fall 2015 Example 2.9 51 Fall 2015 Solution 52 Fall 2015 Calculate power using the formula p = Ri2: Sum the power dissipated by the resistors: The power associated with the sources is Thus the total power dissipated is 1310 + 400 = 1710 W and the total power d developed l d iis 1710 W W, so th the power b balances. l 53