Using Green functions to solve potentials in electrostatics
Classical Physics
2022-04-29 v2
Abstract
In this paper, we summarize the technique of using Green functions to solve electrostatic problems. We start by deriving the electric potential in terms of a Green function and a charge distribution. We then provide a variety of example problems in spherical, Cartesian, and cylindrical coordinates. For a given coordinate system, we derive the corresponding Green function for some geometries, and then place an arbitrary charge distribution in the region; we then calculate the corresponding electric potential.
Keywords
Cite
@article{arxiv.2105.00533,
title = {Using Green functions to solve potentials in electrostatics},
author = {Y. F. Alam and A. Behne and W. S. Chisholm and J. Compton},
journal= {arXiv preprint arXiv:2105.00533},
year = {2022}
}
Comments
Typos and research is not novel