Circuit Theory

Circuit Theory

Most of electrical engineering was invented by 1925, reduced to practice by 1936, and mathematically analyzed and scientifically understood by 1945. So what makes this book different? Symbolic computation programs such as MATLAB, MuPAD, and Mathematica eliminate calculators and time consuming math. Cloud computing at sites like Circuit Lab make simulation possible on a cell phone. This leaves room for more material to be covered at greater depth.

This Course

The 1st and 2nd order differential equations can be solved with Euler's equation (phasors) and calculus. This solution technique is compared with Laplace transforms. The course builds on Kirchhoff's laws to write differential equations using transfer functions. The particular solution reduces to a final condition if sources are replaced with a unit step function. All that needs to be calculated is the homogeneous step response. Then response to any complex voltage or current source can then be found through the convolution integral.

Requirements

This book will expect the reader to have a firm understanding of Calculus specifically, and will not stop to explain the fundamental topics in Calculus. This book shows where Laplace transforms provide an alternative solution, but only in a few examples in parallel with phasor solutions.

This book is not nearly completed, and could still use a lot of work. People with knowledge of the subject are encouraged to contribute.

A PDF version is available. (info)

This book requires that you first read Calculus.

This book is intended for advanced readers.

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A printable version of Circuit Theory is available. (edit it)

Print Version: Print Version (print version) (discuss)

Warning: The print version is over 90 pages long, as of 2 August 2006.

Cover Page: Cover Page

All Pages: All Pages

Introduction

Circuit Theory Introduction

Circuit Basics

Transistors

Circuit Analysis

Steady State Response

Circuit Analysis Tips and Tricks

Impedance, Node, Mesh

Source Transformation

Tips and Tricks

Transient Response

Transients
Initial Conditions
Exponential Time Constants
First Order Initially Excited
First Order Source Excitement
First Order Initial and Source
Second Order Initially Excited
Second Order Source Excitement
Convolution Integral
More Examples
Transfer Functions
Transfer Function Examples
Circuit Theory/Transients Summary and Study guide

Circuit Theory

Contents