## Description

ECE 201: Electric Circuits I is a 3-credit course taught at Michigan State University for Electrical and Computer Engineering majors. ** The catalog description for this course is: Resistive circuits. Loop and nodal analysis. Network theorems, Dependent sources. Capacitor and inductor circuits. Transient analysis. Introduction to computer-aided design. **The prerequisites for this course are current enrollment or completion of third semester calculus and some familiarity with using a personal computer.

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/ECE201msu ) 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 and an introductory course in calculus) 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 1: Introduction

1.1 About This Book

1.2 Symbols and Units

Definitions, Prefixes, Engineering Notation

1.3 Circuit Variables

Current, Voltage, Power, Passive Sign Convention, Ground, Conservation of Energy, Conservation of Power

Chapter 1: Supplemental Problems and Solutions

S1.1, S1.2, S1.3, S1.4

Chapter 2: Basic Circuit Analysis

2.1 Element Constraints

Electrical Network, Circuit, Resistance, Ohm’s Law, V-I Characteristics, Conductance, Power, Resistor, Color Code, Precision Resistors, Ratings, Open and Short Circuits, Switches, Independent Voltage Sources, Independent Current Sources

2.2 Connection Constraints

Kirchhoff’s Current Law, Kirchhoff’s Voltage Law

2.3 Combined Constraints

Examples Using KVL, KCL and Ohm’s Law, Assigning Reference Marks

2.4 Equivalent Circuits

Series Resistance, Parallel Resistance, Special Cases, Approximations, Example, Equivalent Voltage Sources, Equivalent Current Sources, Source Transformations, Delta-to-Wye and Wye-to-Delta Transformations, Redundant Elements

2.5 Voltage and Current Division

Voltage Divider Rule, Special Cases, Potentiometers, Design Example, Current Divider Rule, Special Cases, Ammeter, Voltmeter, Wheatstone Bridge

Chapter 2: Supplemental Problems and Solutions

S2.1, S2.2, S2.3, S2.4, S2.5, S2.6, S2.7, S2.8, S2.9, S2.10, S2.11, S2.12, S2.13, S2.14, S2.15, S2.16, S2.17, S2.18, S2.19, S2.20, S2.21, S2.22, S2.23, S2.24

Chapter 3: Circuit Analysis Techniques

3.1 Node-Voltage Analysis

Node-Voltage Properties, Writing Node Equations by Inspection, Cramer’s Rule, Evaluating Determinants, Node Analysis with Voltage Sources, Nodal Analysis with Floating Voltage Sources, Super Node3.2 Mesh-Current Analysis

Mesh-Current Property, Writing Mesh Equations by Inspection, Mesh Analysis with Current Sources, Super Mesh

3.3 Linearity Properties

Linearity Properties, Superposition Principle, Examples Using Superposition, Proportionality Property, Transfer Function, Unit Output Method

3.4 Thevenin and Norton Equivalent Circuits

Thevenin’s Theorem, Norton’s Theorem, Relationships, Example Using Thevenin’s Theorem

3.5 Maximum Signal Transfer

Maximum Power Transfer Theorem, Maximum Efficiency Theorem

2.7 Computer-Aided Circuit Analysis

SPICE, MATLAB

Chapter 3: Supplemental Problems and Solutions

S3.1, S3.2, S3.3, S3.4, S3.5, S3.6, S3.7, S3.8, S3.9, S3.10, S3.11, S3.12, S3.13, S3.14

Chapter 4: Active Circuits

4.1 Linear Dependent Sources

Voltage Controlled Sources, Current Controlled Sources, SPICE Models

4.2 Analysis of Circuits with Dependent Sources

Analysis of Circuits with Dependent Sources, Node-Voltage Analysis, Mesh-Current Analysis, Thevenin and Norton Equivalent Circuits

4.4 The Operational Amplifier

Notation, Ideal and Commercial Op-Amps, Non-inverting Amplifier, Zero Volt – Zero Current Property, Modeling a Non-inverting Amplifier, Limitations Due to the Power Supply, Voltage Follower, Inverting Amplifier and Model, Differential Amplifier and Model, Op-Amp Circuit Analysis, Bridge-T Amplifier

Chapter 4: Supplemental Problems and Solutions

S4.1, S4.2, S4.3, S4.4, S4.5, S4.6, S4.7, S4.8, S4.9, S4.10, S4.11, S4.12, S4.13, S4.14, S4.15

Chapter 6: Capacitance and Inductance

6.1 The Capacitor

Properties of Capacitance, Capacitance Example Using Pspice, Properties of the Capacitor

6.2 The Inductor

Properties of Inductance, Inductance Example Using Pspice, Properties of the Inductor

6.4 Equivalent Capacitance and Inductance

Series and Parallel Combinations of Capacitance, Series and Parallel Combinations of Inductance

Chapter 6: Supplemental Problems and Solutions

S6.1, S6.2, S6.3, S6.4, S6.5, S6.6

Chapter 7: First- and Second-Order Circuits

7.2 First-Order Circuit Step Response

Solution of a First Order RC Differential Equation, Algorithm for any One Capacitance Circuit, Step Response of an RC Charging Circuit, Time Constant, Interpretation of the Time Constant, RC Switching Circuit with a SPDT Switch, Step Response of an RL Circuit, Algorithm for any One Inductance Circuit, Time Constant, RL Charging Circuit, RL Switching Circuit with a SPDT Switch, Sequential Switching, Algorithm for Sequential Switching, PSpice Simulation with Switches

7.4 First-Order Circuit Sinusoidal Response

Natural and Forced Response, RC Circuits

7.5 The Series RLC Circuit

Natural Response, Characteristic Equation, Overdamped Response, Critically Damped Response, Underdamped Response, Summary

7.6 The Parallel RLC Circuit

Natural Response, Characteristic Equation, Overdamped, Critically Damped and Underdamped Response, Summary

7.7 Second-Order Circuit Step Response

Complete Response of a Series RLC Circuit with a Step and Sinusoidal Input, SPICE, Complete Response of a Parallel RLC Circuit with a Step and Sinusoidal Input

Chapter 7: Supplemental Problems and Solutions

S7.1, S7.2, S7.3, S7.4, S7.5, S7.6, S7.7