Proceedings - Mathematical Sciences

, Volume 122, Issue 2, pp 153–162

Farey sequences and resistor networks


DOI: 10.1007/s12044-012-0066-7

Cite this article as:
KHAN, S.A. Proc Math Sci (2012) 122: 153. doi:10.1007/s12044-012-0066-7


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.


Farey sequenceFibonacci numbersLucas numbersresistor networkbridge and non-planar circuits

Copyright information

© Indian Academy of Sciences 2012

Authors and Affiliations

  1. 1.Department of EngineeringSalalah College of TechnologySalalahSultanate of Oman