Poisson Equation for Electrostatic Potential

版本 1.0.0 (1.6 MB) 作者: Duncan Carlsmith
Live Script that solves the Poisson equation to find the electrostatic potential surrounding charge near a conductor in two dimensions.
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更新时间 2025/1/2

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The electrostatic potential V associated with a static charge density ρ is governed by Poisson's equation which follows from Gauss's Law in differential form. This Live Script illustrates how to use the 2nd order central difference approximation for the Laplacian on a square grid to represent Poisson's equation as a matrix equation. The potential values are found by matrix inversion. The example illustrated here is a single line charge inside a cylindrical hole in a conductor.
This script may interest students and instructors of physics. 'Try this' suggestions and coding 'Challenges' are included for further exploration. Alternative methods of solving two-dimensional electrostatics problems are explored in Ref[1-2].

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Duncan Carlsmith (2025). Poisson Equation for Electrostatic Potential (https://ww2.mathworks.cn/matlabcentral/fileexchange/178404-poisson-equation-for-electrostatic-potential), MATLAB Central File Exchange. 检索时间: .

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1.0.0