On the notion of effective impedance
Combinatorics
2021-03-05 v1 Mathematical Physics
Analysis of PDEs
math.MP
Spectral Theory
Abstract
It is known that electrical networks with resistors are related to the Laplace operator and random walk on weighted graphs. In this paper we consider more general electrical networks with coils, capacitors, and resistors. We give two mathematical models of such networks: complex-weighted graphs and graphs with weight from the ordered field of rational functions. The notion of effective impedance in both approaches is defined.
Keywords
Cite
@article{arxiv.1905.02047,
title = {On the notion of effective impedance},
author = {Anna Muranova},
journal= {arXiv preprint arXiv:1905.02047},
year = {2021}
}
Comments
17 pages, 6 figures