Intended as a textbook for electronic circuit analysis or a reference for practicing engineers, the book uses a self-study format with hundreds of worked examples to master difficult mathematic topics and circuit design issues. Computer programs using PSpice and MATLAB on the accompanying CD-ROM provide calculations and executables for visualizing and solving applications from industry. It covers the complex mathematical topics and concepts needed to understand and solve serious circuits problems.
TABLE OF CONTENTS Network Analysis and Circuits
Chapter 7 - Applications Of The Laplace Transform
7.1 INTRODUCTION
The Laplace transform is a very important mathematical tool. By using the
Laplace transform, any electrical circuit can be solved and calculations are
very easy for transient and steady state conditions. The following steps involve
the analysis of a linear system (electrical or mechanical, etc.). In this chapter
we will consider only the electrical system.
- Apply KVL and make a differential or integro-differential equation
form. - Take the Laplace transform of the system differential or integro-differential
equation together with the input excitation to obtain an
algebraic equation in the s-domain. - Now take the Laplace inverse transform to get the solution in the time
domain.
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