Results for the electrostatic potential of a uniformly charged square plate

We provide theoretical insights on a mathematical approach used to calculate the Coulomb electrostatic potential of a uniformly charged square plate at any given point on its plane that we developed in the past. It is shown here that this method can be generalized in an elegant way to calculate this...

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Bibliographic Details
Main Authors: Orion Ciftja, Brent Ciftja
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379720320921
Description
Summary:We provide theoretical insights on a mathematical approach used to calculate the Coulomb electrostatic potential of a uniformly charged square plate at any given point on its plane that we developed in the past. It is shown here that this method can be generalized in an elegant way to calculate this quantity at any arbitrary point in space. We explain the formalism and illustrate the implementation of the technique by providing all the key results that lead to an exact analytic expression for the value of the electrostatic potential on a point in the line perpendicular to the square plate that passes through its center.
ISSN:2211-3797