## 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