Farey Sequences and Resistor Networks

Proceedings Mathematical Sciences

Sameen Ahmed Khan¹ 

[1] Department of Engineering, Salalah College of Technology, Post Box No. 0, Postal Code , Salalah, Sultanate of Oman$$

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

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown