Classical Circuit Theory / Edition 1

by Omar Wing

Overview

Classical circuit theory is a mathematical theory of linear, passive circuits, namely, circuits composed of resistors, capacitors and inductors. Like many a thing classical, it is old and enduring, structured and precise, simple and elegant. It is simple in that everything in it can be deduced from first principles based on a few physical laws. It is enduring in that the things we can say about linear, passive circuits are universally true, unchanging. No matter how complex a circuit may be, as long as it consists of these three kinds of elements, its behavior must be as prescribed by the theory. The theory tells us what circuits can and cannot do. As expected of any good theory, classical circuit theory is also useful. Its ulti mate application is circuit design. The theory leads us to a design methodology that is systematic and precise. It is based on just two fundamental theorems: that the impedance function of a linear, passive circuit is a positive real function, and that the transfer function is a bounded real function, of a complex variable.

Product Details

ISBN-13:	9780387097398
Publisher:	Springer US
Publication date:	10/06/2008
Series:	Lecture Notes in Mathematics , #772
Edition description:	2009
Pages:	296
Product dimensions:	6.30(w) x 9.30(h) x 0.80(d)

Table of Contents

Fundamentals.- Circuit Dynamics.- Properties in the Frequency Domain.- The Impedance Function.- Synthesis of Two-Element-Kind Impedances.- Synthesis of RLC Impedances.- Scattering Matrix.- Synthesis of Transfer Functions.- Filter Design.- Circuit Design by Optimization.- All-Pass Circuits.

Editorial Reviews

From the reviews:

"Classical Circuit Theory is a relatively short book that restricts content to linear circuits composed of passive elements. The approach to this traditional subject is modern. … This well-written volume should be valuable to students taking a sophisticated approach toward circuit theory. Summing Up: Recommended. Upper-division undergraduates and graduate students." (M. S. Roden, Choice, Vol. 46 (9), May, 2009)

From the Publisher