Infinite Body Centered Cubic Network of Identical Resistors

J. H. Asad

doi:10.12693/aphyspola.126.777

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arXiv · 1302.4376

Infinite Body Centered Cubic Network of Identical Resistors

J. H. Asad

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Abstract

We express the equivalent resistance between the origin and any other lattice site in an infinite Body Centered Cubic (BCC) network consisting of identical resistors each of resistance R rationally in terms of known values and . The equivalent resistance is then calculated. Finally, for large separation between the origin and the lattice site two asymptotic formulas for the resistance are presented and some numerical results with analysis are given.

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J. H. Asad. 2013-02-13. Infinite Body Centered Cubic Network of Identical Resistors. https://doi.org/10.12693/aphyspola.126.777

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