Resistance Theory of Asymmetric 2 × n Circuit Network

Abstract

This article proposes a class of asymmetric 2 × n resistor network model which contains multiple independent resistors; the study of asymmetric resistor network models is a challenge. We conducted in-depth research on this issue using the RT-V theory (Chinese Physics B, 2017, 26(9): 090503) and achieved new theoretical breakthroughs. This paper derived five original equivalent resistance formulae for this asymmetric 2 × n circuit network and also discusses the analytical expressions for equivalent resistance in different special cases, and several interesting results have been derived, indicating that the original resistance formula has powerful functionality. Finally, visual graphics of two types of equivalent resistances are provided using MATLAB drawing tools, which reveals the law of equivalent resistance changing with resistance variables. The research theory and technology in this article will provide a new theoretical basis for related scientific, engineering, and simulation research.