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

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...

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Bibliographic Details
Published in:Scientific Reports
Main Authors: Ru Wang, Xiaoyu Jiang, Yanpeng Zheng, Zhaolin Jiang, Deliang Xiang
Format: Article
Language:English
Published: Nature Portfolio 2024-11-01
Online Access:https://doi.org/10.1038/s41598-024-80899-w