Lecture Outline for Fall 1998

1. Wednesday 8/26

   • Sections 1-1, 1-2.
     • Introduction and Course Syllabus.
     • Review of Scientific Notation and Engineering Prefix Notation.
     • Definition of decibel.
   
   

2. Friday 8/28

   • Section 1-3.
     • Definitions of charge q, current i, voltage v, and power p.
       • Voltage is between two points in a circuit.
       • Current is through a point in a circuit.
     • Passive sign convention and power calculations.
   • Section 2-1.
     • Definition of circuit element.
     • Our first circuit element
       • The resistor - Ohm's law, resistance and conductance
   
   

3. Monday 8/31

   • Section 2-1 (continued).
     • Definition of linear and bilateral circuit elements.
     • Our first circuit elements
       • The resistor - Ohm's law, resistance and conductance
       • Open and short circuit
       • Switch
       • Voltage source
       • Current source
   • Section 2-2 Connection Constraints
     • Definition of circuit, node and loop
     • Kirchhoff's Current Law
     • Kirchhoff's Voltage Law
   
   

4. Wednesday 9/2

   • Section 2-3 Combined Constraints
     • Using KCL, KVL and element equations to find 2E equations with 2E unkowns for a circuit with E circuit elements.
     • Series and Parallel connections
     • Ground reference node
   
   

5. Friday 9/4

   • Section 2-4 Equivalent Circuits
     • Definition of equivalent circuit.
     • Resistors in series and parallel.
     • Sources in series and parallel.
     • Sources and resistors.
   
   

6. Wednesday 9/9

   • Section 2-5 Voltage and current division
     • Voltage division - calculation of voltages for resistors in series.
     • Current division - calculation of currents for resistors in parallel
   
   

7. Friday 9/11

   • Section 2-6 Circuit Reduction
     • Using equivalent circuits to simplify complex circuits
     • Combining resistors in series and parallel
     • Using source transformations
   
   

8. Monday 9/14

   • Review of Chapters 1 and 2 for Exam
   
   

9. Wednesday 9/16

   • Exam 1
   
   

10. Friday 9/18

    • Section 3-1 -- Introduction Node Voltage Analysis
    
    

11. Monday 9/21

    • Section 3-1 -- More on Node Voltage Analysis
      • Selection of a reference (ground) node
      • Definition of node voltage
      • Calculating element voltages from node voltages
      • Steps in node voltage analysis
    
    

12. Wednesday 9/23

    • Section 3-1 -- More on Node Voltage Analysis
    • Section 3-2 -- Introduction to Mesh Current Analysis
      • Steps in node voltage analysis -- Writing down node voltages equations by inspection
      • Analyzing circuits with voltage sources using node voltage method -- the Supernode
      • Number of equations necessary to analyze a circuit using node voltage method (Number of nodes - 1 - number of voltage sources)
      • Using Cramer's Rule to solve two equations with two unknowns
    • Section 3-2 -- Introduction to Mesh Current Analysis
      • Mesh current analysis with for circuits contaning no current sources
    
    

13. Friday 9/25

    • Section 3-2 -- Mesh Current Analysis
      • Steps in mesh current analysis -- Writing down mesh current equations by inspection
    • Using MATLAB to solve multiple equations with multiple unknowns
    
    

14. Monday 9/28

    • Section 3-3 -- Linearity -- Superposition and Unit Output Methods
      • Solving circuits with multiple inputs using superposition
      • Solving ladder circuits using the unit output method
    
    

15. Wednesday 9/30

    • Section 3-4 -- Thevenin and Norton Equivalent Circuits
      • Defining open-circuit voltage v_oc and short-circuit current i_sc,
      • Thevenin equivalent circuit -- V_T = v_oc, R_T = v_oc/i_sc,
      • Norton equivalent circuit -- I_N = i_sc, R_N = v_oc/i_sc,
      • R_T = R_N = resistance looking backwards with all independent sources turned off.
    
    

16. Friday 10/2

    • Section 3-4 -- More 0n Thevenin and Norton Equivalent Circuits
      • Finding operating point (Q-point) for non-linear loads
    • Section 3-5 -- Maximum signal transfer
      • If source is fixed
        • maximum power transfer when R_L = R_T
        • maximum voltage when R_L = infinity
        • maximum current when R_L = 0
    
    

17. Monday 10/5

    • Review of Chapter 3 for Exam
    
    

18. Wednesday 10/7

    • Review of Chapter 3 for Exam
    
    

19. Friday 10/9

    • Exam on Chapter 3
    
    

20. Monday 10/12

    • Section 4-1 -- Active devices and dependent sources
      • Definition of active device
      • Definition of linear dependent source
        • Current-controlled voltage source
        • Voltage-controlled voltage source
        • Current-controlled current source
        • Voltage-controlled current source
      • Definition of feedback
      • Applying circuit analysis techniques to circuits with linear dependent sources
    
    

21. Wednesday 10/14

    • Section 4-2 -- Circuit analysis with dependent sources
      • No feedback -- analyze part with independent sources, then part with dependent sources
      • Feedback -- usually easiest to use node-voltage or mesh-current analysis
        • Node-voltage -- put dependent source value in terms of node voltages, and proceed as in regular node voltage analysis
        • Mesh-current -- put dependent source value in terms of mesh currents, and proceed as in regular mesh current analysis
    
    

22. Friday 10/16

    • Definition of input resistance and output resistance
      • How to calculate R_in and R_out
    
    

23. Monday 10/19

    • Section 4-4 and 4-5 -- The Operational Amplifier (Op Amp)
      • Saturation voltages, linear region, operation with negative feedback
      • Golden rules -- when operating in the linear region with negative feedback, i_N = i_P = 0, and v_N = v_P
      • Analysis of op amp cicuits -- for unknown circuits use node-voltage analysis: do not write node voltage equation at op amp outputs, but get the extra equation by applying v_N = v_P.
      • Op Amp building blocks
        • Inverting amplifier
        • Follower
    
    

24. Wednesday 10/21

    • Section 4-5 -- Op Amp Circuit Analysis
      • Op amp building blocks
        • Non-inverting amplifier
        • Summing amplifier
        • Difference amplifier
      • Using building blocks and block diagrams to analyze and desgin op amp circuits
    
    

25. Monday 10/26

    • Sections 5-1, 5-2, and 5-3 -- Basic signals in Electrical Engineering
      • The step function
      • The delta function
      • The ramp function
      • The exponential function -- amplitude and time constant
    
    

26. Wednesday 10/28

    • Section 5-4 -- the sinusoidal function
      • Amplitude, period, and phase
      • Relationship between period, frequency (in Hertz), and frequency (in radians/second)
      • Converting between phase-frequency form (V_Acos(2 pi f t + phi)) and Fourier components (a cos(2 pi f t) + b sin(2 pi f t)).
    
    

27. Friday 10/30

    • Section 5-5 -- Composite waveforms
      • Exponential rise
      • Damped sinusoid
      • Double exponential
    • Section 5-6 -- Waveform partial descriptors
      • Period, V_max, V_min, V_PP, V_avg
    
    

28. Monday 11/2

    • Section 5-6 -- Waveform partial descriptors
      • Root-Mean-Square value (V_RMS)
    • Review of Chapters 4 and 5 for Exam
    
    

29. Wednesday 11/4

    • Exam over Chapters 4 and 5
    
    

30. Friday 11/6

    • Sections 6-1, 6-2, 6-3 -- Capacitors, Inductors and Dynamic OP AMP Circuits
      • v-i relationship for capacitor
      • v-i relationship for inductor
      • Using capacitors with op-amps -- differentiator and integrator
    
    

31. Monday 11/9

    • Section 6-4 -- Equivalent capacitors and inductor circuits
      • Capacitors in series and parallel
      • Inductors in series and parallel
    
    

32. Wednesday 11/11

    • Section 7-1 -- Zero-input response of RC and RL circuits
      • Finding equation for RC and RL circuit using KVL, KCL and element equations.
      • Definition zero-input response.
      • Solution of first-order constant-coefficient homogeneous linear differential equation.
    
    

33. Friday 11/13

    • Section 7-2 -- Step response of RC and RL circuits
      • Definition of natural and forced response
      • Solution of first-order constant-coefficient linear differential equation with step input.