, Volume 122, Issue 2, pp 153-162
Date: 29 May 2012

Farey sequences and resistor networks

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Abstract

In this article, we employ the Farey sequence and Fibonacci numbers to establish strict upper and lower bounds for the order of the set of equivalent resistances for a circuit constructed from n equal resistors combined in series and in parallel. The method is applicable for networks involving bridge and non-planar circuits.