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arXiv · 0809.4867

The exact evaluation of the corner-to-corner resistance of an M x N resistor network: Asymptotic expansion

J. W. Essam·F. Y. Wu
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Abstract

We study the corner-to-corner resistance of an M x N resistor network with resistors r and s in the two spatial directions, and obtain an asymptotic expansion of its exact expression for large M and N. For M = N, r = s =1, our result is R_{NxN} = (4/pi) log N + 0.077318 + 0.266070/N^2 - 0.534779/N^4 + O(1/N^6).

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J. W. Essam, F. Y. Wu. 2008-10-29. The exact evaluation of the corner-to-corner resistance of an M x N resistor network: Asymptotic expansion. https://doi.org/10.1088/1751-8113%2F42%2F2%2F025205

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