2born (2born) wrote,
2born
2born

Поле однородно заряженного диска

Все мы в детстве находили его на оси диска и слышали, что для решения в общем случае нужны эллиптические интегралы. Авторы подробно расписывают как это делается:

On the electrostatic potential and electric field of a uniformly charged disk: https://arxiv.org/abs/2004.04540
V. Bochko, Z.K. Silagadze
(Submitted on 9 Apr 2020)
We calculate the electrostatic potential and electric field of a uniformly charged disk everywhere in space. This electrostatic problem was solved long ago, and its gravitational analogue - even earlier. However, it seems that physics students are not aware of the solution, because it is not presented in textbooks. The purpose of the present article is to fill this gap in the pedagogical literature.
Comments: 14 pages, 6 figures, to be published in European Journal of Physics
Tags: КлЭД, Мегаучебник или Что я читал и похвалил, образование, разгребая arXiv'ы
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