Electrical properties of a generalized 2×n resistor network

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.