Description
ECE 202: Electric Circuits II is a 3-credit course taught at Michigan State University for Electrical and Computer Engineering majors. The catalog description for this course is: Sinusoidal steady-state response. Laplace transforms. S-Domain circuit analysis. Frequency response. Fourier series. Mutual inductance. Power in sinusoidal steady state. The prerequisites for this course are current enrollment or completion of fourth semester calculus and ECE 201. There is a co-requisite of the companion lab course ECE 203.
The companion textbook used in this course is : Thomas, Rosa & Toussaint, The Analysis and Design of Linear Circuits, Wiley, 2012 (7th Edition or later)
On-Line Course
A YouTube Channel ( https://www.youtube.com/user/202msu ) has been made to recreate the classroom experience for this ebook. This on-line version of the course is intended for ECE students at MSU. However these videos will also allow anyone, student, hobbyist or engineer (with the minimum background of an algebra course, an introductory course in calculus and ECE 201) to take this 3-credit course at their own pace. You can find a suggested Self-Paced Instruction section near the end of this ebook. Sample exams and a final exam are included with solutions. A grading curve, similar to ones used in the course, is found on the cover of each exam solution so that you can grade yourself. The exams are closed book and notes. The suggested time for an exam is one-hour and two-hours for the final exam. A final grade calculation is at the end of the final exam solution video.
Table of Contents
Chapter 8: Sinusoidal Steady-State Response
5.4 The Sinusoidal Waveform
Cycle, Period, Frequency, Amplitude, Phase Angle, Vector Representation of Sinusoids
8.1 Sinusoids and Phasors
Euler’s Formula, Complex Numbers, Rectangular and Polar Form, Phasor Transform, Inverse Phasor Transform, Addition- Subtraction- Multiplication-Division of Complex Numbers
8.2 Phasor Circuit Analysis
Kirchhoff’s Voltage Law, Kirchhoff’s Current Law, Resistance in Phasor Form, Inductance in Phasor Form, Capacitance in Phasor Form, Impedance, Admittance and Ohm’s Law
8.3 Basic Circuit Analysis with Phasors
Series Equivalence of Impedances, Reactance, Examples of the Phasor Analysis, Voltage Divider Rule, Parallel Equivalence of Impedances, Susceptance, Current Divider Rule, Example Using Parallel Equivalence and Current Divider, Phasor Example Using Current Divider, SPICE Time Domain Example, SPICE Phasor Example, Resonant Frequency of an Impedance, Series Resonance, Parallel Resonance
8.4 Circuit Theorems with Phasors
Superposition Example, Sources with Different Frequencies Example, Source Transformation Example, Thevenin Equivalent Circuit Example
8.5 General Circuit Analysis with Phasors
Node-Voltage Analysis Example, MATLAB Example, Mesh-Current Analysis Example
8.6 Energy and Power
Average Power for a Resistance, Inductance and Capacitance, Definition of Root-Mean-Square
Chapter 8: Supplemental Problems and Solutions
S8.1, S8.2, S8.3, S8.4, S8.5, S8.6, S8.7, S8.8, S8.9, S8.10, S8.11, S8.12, S8.13, S8.14, S8.15, S8.16, S8.17, S8.18
Chapter 9: Laplace Transforms
9.1 Signal Waveforms and Transforms
Definition of the Laplace Transformation, Step Function, Impulse Function, Inverse Transformation, Uniqueness Property
9.2 Basic Properties and Pairs
Linearity, Integration Property, Ramp Function, Differentiation Property, Nth Derivative, s-Domain Translation Property, Time Domain, Translation Property, Table of Transform Pairs and Examples
9.3 Pole-Zero Diagrams
Definition of Pole and Zero, Sketches, MATLAB
9.4 Inverse Laplace Transforms
Rational Function, Partial Fraction Expansion, Residues, Complex Poles, Sum of Residues
9.5 Some Special Cases
Improper Rational Function, Multiple Poles, MATLAB
Chapter 9: Supplemental Problems and Solutions
S9.1, S9.2, S9.3, S9.4, S9.5, S9.6, S9.7, S9.8
Chapter 10: s-Domain Circuit Analysis
10.1 Transformed Circuits
Element Constraints in the s-Domain, Sources, Connection Constraints, Examples of the Complete Response of RC switching circuits, Examples of the Complete Response of RL switching circuits
10.2 Basic Circuit Analysis in the s-Domain
Phasors revisited
10.3 Circuit Theorems in the s-Domain
Proportionality, Superposition, Norton Equivalent Circuits
10.4 Node-Voltage Analysis in the s-Domain
s-Domain Node Equations by Inspection
10.5 Mesh-Current Analysis in the s-Domain
s-Domain Mesh Equations by Inspection
Chapter 10: Supplemental Problems and Solutions
S10.1, S10.2, S10.3, S10.4, S10.5, S10.6
Chapter 11: Network Functions
11.1 Definition of a Network Function
Natural and Forced Response, Stability
11.2 Network Functions of One- and Two-Port Circuits
Driving Point Impedance, Transfer Functions
11.3 Network Functions and Impulse Response
Definition, Pspice Example of an Impulse Response
11.4 Network Functions and the Step Response
Definition
11.6 Impulse Response and Convolution
Definition of Convolution, Causal and Non-Causal Signals, Equivalence of s-Domain and t-Domain Convolution, Graphical Approach
11.7 Network Function Design
Synthesis, First Foster RC Forms, NAB Equalizer Design, Magnitude Scaling
Chapter 11: Supplemental Problems and Solutions
S11.1, S11.2, S11.3, S11.4, S11.5, S11.6, S11.7
Chapter 12: Frequency Response
12.1 Frequency Response Descriptors
Types of Filters, Pass Bands, Stop Bands
12.2 Bode Diagrams
Product of Terms, Decibel, First-Order Inspections Forms, Example, Making Log Paper and Reading Points
12.6 First-Order Circuit Frequency Response
Audio Frequency Inverting Amplifier, Interpretations of Poles and Zeros, First-Order High-Pass Response, RIAA Playback Equalizer, Audio Frequency Intergrator, First-Order Low-Pass Response, Low-Noise Inverting Amplifier, Band-Pass Using First-Order Circuits
12.7 Second-Order Circuit Frequency Response
Second-Order Inspection Forms, RLC Low-Pass Filter, Hiss Filter, RLC High-Pass Filter, RLC Band-Pass Filter, RLC Band-Stop Filter, Design Procedure, Bandwidth, Data Recorder Filter Design
Chapter 12: Supplemental Problems and Solutions
S12.1, S12.2, S12.3, S12.4, S12.5, S12.6
Chapter 13: Fourier Series
13.2 Fourier Coefficients
Fourier Series, Sawtooth Example, Fundamental Frequency, Harmonics, Alternative Form of the Fourier Series, Sawtooth Example Revisited
13.3 Waveform Synthesis
Even Symmetry, Odd Symmetry, Half-Wave Symmetry, Squarewave Example
Chapter 13: Supplemental Problems and Solutions
S13.1, S13.2, S13.3, S13.4
Chapter 15: Mutual Inductance
15.1 Coupled Inductors
Magnetic Flux, V-I Characteristics
15.2 The Dot Convention
Coupled Coils, Transformer Examples
15.3 Energy Analysis
Coupling Coefficient
15.4 The Ideal Transformer
Perfect Coupling, Equivalent Input Resistance
15.5 Transformers in Sinusoidal Steady-State
s-Domain Model, SPICE Model with Example
Chapter 15: Supplemental Problems and Solutions
S15.1, S15.2, S15.3, S15.4, S15.5
Chapter 16: Power in Sinusoidal Steady-State
16.1 Average and Reactive Power
Instantaneous Power, Average Power, Real Power, Reactive Power
16.2 Complex Power
Apparent Power, Power Factor, Reactive Power Factor, Power Factor Angle, Power Triangle, Complex Power and Load Impedance, Example
16.3 AC Power Analysis
Conservation of Complex Power Theorem, Complex Power System with Long Wires, Power in Purely Resistive Circuits, Power in Purely Capacitive Circuits, Power in Purely Inductive Circuits
16.4 Load-Flow Analysis
Power Factor Correction, Step-up and Step-Down Transformers, Maximum Real Power Transfer Theorem
16.5 Three-Phase Circuits
Three-Phase Voltage Sources, Phase Sequence, Line / Phase Relationships
16.6 Three-Phase AC Power Analysis
Y-Connected Source and Y-Connected Load, Y-Connected Source and Δ- Connected Load, Example
Chapter 16: Supplemental Problems and Solutions
S16.1, S16.2, S16.3, S16.4, S16.5, S16.6
