New equivalent resistance formula of $$m\times n$$ rectangular resistor network represented by Chebyshev polynomials

• Published in: Scientific reports Vol. 14; no. 1; pp. 1 - 14
• Main Authors: Wang, Ru, Jiang, Xiaoyu, Zheng, Yanpeng, Jiang, Zhaolin, Xiang, Deliang
• Format: Journal Article
• Language: English
• Published: Nature Portfolio 27.11.2024

Abstract In the process of exploring the field of circuits, obtaining the exact solution of the equivalent resistance between two nodes in a resistor network has become an important problem. This paper aims to introduce Chebyshev polynomial of the second kind to improve the equivalent resistance for...