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arXiv · 2407.00392

Electrostatic potential of a uniformly charged disk through Green's theorem

Alina E. Sagaydak·Zurab K. Silagadze
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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.

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Alina E. Sagaydak, Zurab K. Silagadze. 2024-06-29. Electrostatic potential of a uniformly charged disk through Green's theorem. https://doi.org/10.1088/1361-6404/ad9ae8

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