Equivalent Circuits for Two-Dimensional Magnetic Fields: II - The Sinusoidally Time-Varying Field

Abstract

PART I [1] of this series established a simple resistive analog to represent the static magnetic field. It was shown that by the use of a dc constant current network the magnetic vector potential solution of static field problems could be obtained including the correct boundary and internal field relations. Mention was made of the contribution of Roberts [2] in regard to the use of the RC analog to simulate a solution of Maxwell's equation for 2-dimensional time-varying fields. An extension of the analogy shows a revealing relationship of the RC network to the usual coupled circuit theory. It is the purpose of this paper to discuss the relationship and the application of the RC analog to the area of coupled circuit phenomena, relying primarily on circuit concepts familiar to electrical engineers.