Electrostatic potential of a uniformly charged disk through Green's theorem
Classical Physics
2024-12-09 v2
Abstract
All existing derivations of the electrostatic potential of a uniformly charged disk are technically rather involved. In an old and now almost forgotten publication, Duffin and McWhirter proposed a method for calculating the electrostatic potentials of planar bodies by a skillful application of Green's theorem. It is shown that this method significantly simplifies the problem of calculating the electrostatic potential of a uniformly charged disk and makes it an almost trivial task.
Cite
@article{arxiv.2407.00392,
title = {Electrostatic potential of a uniformly charged disk through Green's theorem},
author = {Alina E. Sagaydak and Zurab K. Silagadze},
journal= {arXiv preprint arXiv:2407.00392},
year = {2024}
}
Comments
10 pages, 3 figures, version to be published in European Journal of Physics