A few paradoxes of Gauss' law and how to avoid them
Physics Education
2024-12-12 v1 Classical Physics
Abstract
We present a few charge distributions for which the application of Gauss' law in its integral form, as typically outlined in standard textbooks, results in a contradiction. We identify the root cause of such contradictions and put forward a solution to resolve them.
Cite
@article{arxiv.2412.08373,
title = {A few paradoxes of Gauss' law and how to avoid them},
author = {Marcin Kościelecki and Piotr Nieżurawski},
journal= {arXiv preprint arXiv:2412.08373},
year = {2024}
}
Comments
11 pages, 5 figures