Electrical properties of a generalized 2×n resistor network  

作　　者：Shi Zhou Zhi-Xuan Wang Yong-Qi Zhao Zhi-Zhong Tan 

机构地区：[1]Department of physics,Nantong University,Nantong 226019,China

出　　处：《Communications in Theoretical Physics》2023年第7期145-154,共10页理论物理通讯（英文版）

基　　金：supported by the National Training Programs of Innovation and Entrepreneurship for Undergraduates(Grant No.202210304006Z);supported by the Jiangsu Training Programs of Innovation and Entrepreneurship for Undergraduates(Grant No.202210304076Y)。

摘　　要：Any changes in resistor conditions will increase the difficulty of resistor network research.This paper considers a new model of a generalized 2×n resistor network with an arbitrary intermediate axis that was previously unsolved.We investigate the potential function and equivalent resistance of the 2×n resistor network using the RT-I theory.The RT-I method involves four main steps:(1)establishing difference equations on branch currents,(2)applying a matrix transform to study the general solution of the differential equation,(3)obtaining a current analysis of each branch according to the boundary constraints,and(4)deriving the potential function of any node of the 2×n resistor network by matrix transformation,and the equivalent resistance formula between any nodes.The article concludes with a discussion of a series of special results,comparing and verifying the correctness of the conclusions.The work establishes a theoretical basis for related scientific research and application.

关 键 词：generalized network difference equations matrix transform potential function equivalent resistance 

分 类 号：O441.1[理学—电磁学]