• Farey Sequences and Resistor Networks

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.