• Farey Sequences and Resistor Networks

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/122/02/0153-0162

    • Keywords

       

      Farey sequence; Fibonacci numbers; Lucas numbers; resistor network; bridge and non-planar circuits.

    • 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.

    • Author Affiliations

       

      Sameen Ahmed Khan1

      1. Department of Engineering, Salalah College of Technology, Post Box No. 608, Postal Code 211, Salalah, Sultanate of Oman
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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