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Electrostatic potential of a homogeneously charged square and cube in two and three dimensions

Gerhard Hummer
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Abstract

A closed form of the electrostatic potential of a homogeneously charged cube is derived by integration. The exact result is compared with multipole expansions for the exterior and interior of the cube. The electrostatic potential of a homogeneously charged square in two-dimensional electrostatics is also determined.

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Gerhard Hummer. 1995-08-11. Electrostatic potential of a homogeneously charged square and cube in two and three dimensions. https://arxiv.org/abs/chem-ph/9508002

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