Elementary Methods for Infinite Resistive Networks with Complex Topologies
Classical Physics
2021-05-12 v2
Abstract
Finding the equivalent resistance of an infinite ladder circuit is a classical problem in physics. We expand this well-known challenge to new classes of network topologies, in which the unit cells are much more entangled together. The exact analytical results there can still be obtained with elementary methods. These topology classes will add layers of complexity and much more diversity to a very popular kind of physics puzzles for teachers and students.
Cite
@article{arxiv.2105.03690,
title = {Elementary Methods for Infinite Resistive Networks with Complex Topologies},
author = {Tung X. Tran and Linh K. Nguyen and Quan M. Nguyen and Chinh D. Tran and Truong H. Cai and Trung Phan},
journal= {arXiv preprint arXiv:2105.03690},
year = {2021}
}