Proceedings - Mathematical Sciences

, Volume 122, Issue 2, pp 153–162

Farey sequences and resistor networks

Authors

    • Department of EngineeringSalalah College of Technology
Article

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

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.

Keywords

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

Copyright information

© Indian Academy of Sciences 2012