## Alternating Current Circuits by Kerchner and Corcoran: A Classic Textbook for Electrical Engineering Students

Alternating current (AC) circuits are essential for understanding and designing power systems, electrical machines, and electronic devices. AC circuits deal with voltages and currents that vary sinusoidally in time and have different phases and frequencies. To analyze AC circuits, one needs to master the concepts of complex numbers, phasors, impedance, admittance, resonance, power factor, and harmonics.

## A Review of Alternating Current Circuits by Kerchner and Corcoran: Chapter 103

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One of the most popular and comprehensive textbooks on AC circuits is Alternating Current Circuits by Russell M. Kerchner and George F. Corcoran. The book was first published in 1941 and has gone through several editions and revisions since then. The fourth edition, which was published in 1980, is available as a free PDF download from the Internet Archive[^1^] [^2^]. The book covers the following topics:

Basic principles of AC circuits

Steady-state analysis of single-phase and three-phase circuits

Transient analysis of RL, RC, and RLC circuits

Coupled circuits and mutual inductance

Network theorems and methods

Filters and attenuators

Fourier series and Fourier transform

Laplace transform and its applications

Two-port networks and network functions

Numerical methods for circuit analysis

The book is written in a clear and rigorous style, with numerous examples, problems, and illustrations. The book assumes a basic knowledge of calculus, differential equations, and linear algebra. The book is suitable for undergraduate and graduate students of electrical engineering, as well as practicing engineers who want to refresh their knowledge of AC circuits.

Alternating Current Circuits by Kerchner and Corcoran is a classic textbook that has stood the test of time. It is a valuable resource for anyone who wants to learn more about AC circuits and their applications.

One of the distinctive features of Alternating Current Circuits by Kerchner and Corcoran is the use of operational calculus to simplify the analysis of AC circuits. Operational calculus is a method of transforming differential equations into algebraic equations by using operators that represent differentiation and integration. For example, the operator p represents differentiation with respect to time, and the operator 1/p represents integration with respect to time. By using operational calculus, one can avoid solving differential equations and instead manipulate algebraic expressions.

Another feature of the book is the inclusion of numerical methods for solving AC circuit problems. The book introduces the methods of Gauss elimination, Gauss-Jordan elimination, Newton-Raphson iteration, and Runge-Kutta integration. The book also provides computer programs in BASIC language for implementing these methods. The book shows how numerical methods can be used to solve nonlinear circuits, circuits with variable parameters, and circuits with initial conditions.

The book also covers some advanced topics in AC circuit analysis, such as network synthesis, network stability, network sensitivity, and network optimization. The book explains how to design networks that meet certain specifications, such as impedance matching, frequency response, and transfer function. The book also discusses how to evaluate the performance of networks under various conditions, such as parameter variations, noise, and feedback. The book provides examples of practical applications of network synthesis and analysis in communication systems, control systems, and signal processing systems. 04f6b60f66