Nahin Paul J. Transients for Electrical Engineers Elementary Switched-Circuit Analysis in the Time and Laplace Transform Domains (with a touch of MatLAB)

1st ed. — Springer, 2019. — 189 p. — ISBN 978-3319775982, 3319775979.This book offers a concise introduction to the analysis of electrical transients aimed at students who have completed introductory circuits and freshman calculus courses. While it is written under the assumption that these students are encountering transient electrical circuits for the first time, the mathematical and physical theory is not ‘watered-down.’ That is, the analysis of both lumped and continuous (transmission line) parameter circuits is performed with the use of differential equations (both ordinary and partial) in the time domain, and the Laplace transform. The transform is fully developed in the book for readers who are not assumed to have seen it before. The use of singular time functions (unit step and impulse) is addressed and illustrated through detailed examples.The appearance of paradoxical circuit situations, often ignored in many textbooks (because they are, perhaps, considered ‘difficult’ to explain) is fully embraced as an opportunity to challenge students. In addition, historical commentary is included throughout the book, to combat the misconception that the material in engineering textbooks was found engraved on Biblical stones, rather than painstakingly discovered by people of genius who often went down many wrong paths before finding the right one. MatLAB is used throughout the book, with simple codes to quickly and easily generate transient response curves.Foreword.
Preface.
Acknowledgments.
About the Author.
Basic Circuit Concepts.
The Hardware of Circuits.
The Physics of Circuits.
Power, Energy, and Paradoxes.
A Mathematical Illustration.
Puzzle Solution.
Magnetic Coupling, Part 1.
Transients in the Time Domain.
Sometimes You Don´t Need a Lot of Math.
An Interesting Switch-Current Calculation.
Suppressing a Switching Arc.
Magnetic Coupling, Part 2.
The Laplace Transform.
The Transform, and Why It´s Useful.
The Step, Exponential, and Sinusoid Functions of Time.
Two Examples of the Transform in Action.
Powers of Time.
Impulse Functions.
The Problem of the Reversing Current.
An Example of the Power of the Modern Electronic Computer.
Puzzle Solution.
The Error Function and the Convolution Theorem.
Transients in the Transform Domain.
Voltage Surge on a Power Line.
Two Hard Problems from Yesteryear.
Gas-Tube Oscillators.
A Constant Current Generator.
Transmission Lines.
The Partial Differential Equations of Transmission Lines.
Solving the Telegraphy Equations.
The Atlantic Cable.
The Distortionless Transmission Line.
The General, Infinite Transmission Line.
Transmission Lines of Finite Length.
Appendixes.
Euler´s Identity.
Heaviside´s Distortionless Transmission Line Condition.
How to Solve for the Step Response of the Atlantic Cable Diffusion Equation Without the Laplace Transform.
A Short Table of Laplace Transforms and Theorems.
Index.