A Simplified Basis for the Study of RL-, RC-, and LC-One-Port Driving Functions

Abstract

Essential to a firm theoretical basis for the mathematical theory of one-ports, as it is presently constituted, is some knowledge of the theory of functions of a complex variable. In terms of quadratic forms and the rudiments of mapping in the complex plane, this paper presents an algebraic basis for the study of RL-, RC-, and LC-one-port driving functions which circumvents, for the most part, use of function theory. Undergraduates, even earlier than the senior year, have sufficient mathematical maturity to fully understand the concepts.