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Electrical properties of a 2 × n non-regular hammock network

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Abstract

Consider a class of 2 × n hammock network with two special conditions, the left and right boundary is zero resistance (collapse into a pole), and the middle horizontal axis is arbitrary resistance, which is a new model that has not been solved before. By using the recursion transform approach with potential parameters (RT-V), two set of novel equations are established for the determination of the precise electrical properties (potential and resistance) of a non-regular 2 × n hammock networks. The nodal voltage and equivalent resistance formulas for the 2 × n hammock networks are derived by using the general and specialized methods we describe for solving the various equations. In addition, we discuss the results of various special cases and derive some interesting results. To make it easier for the reader to understand, we have visualized what the potential function looks like. Our findings offer a fresh theoretical framework for the investigation of complicated network models.

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Acknowledgements

This work is supported by the National Training Programs of Innovation and Entrepreneurship for Undergraduates (Grant No. 202210304006Z), and supported by the Jiangsu Training Programs of Innovation and Entrepreneurship for Undergraduates (Grant No. 202210304076Y).

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Authors and Affiliations

  1. Department of Physics, Nantong University, Nantong, 226019, China

    Jun-Qiang Chen, Wen-Yi Ji & Zhi-Zhong Tan

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  1. Jun-Qiang Chen
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  2. Wen-Yi Ji
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  3. Zhi-Zhong Tan
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Correspondence to Zhi-Zhong Tan.

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Chen, JQ., Ji, WY. & Tan, ZZ. Electrical properties of a 2 × n non-regular hammock network. Indian J Phys (2023). https://doi.org/10.1007/s12648-023-03027-w

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