Electrostatic potential of a uniformly charged disk through Green's theorem
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916509637410816 |
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| author | Sagaydak, Alina E. Silagadze, Zurab K. |
| author_facet | Sagaydak, Alina E. Silagadze, Zurab K. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00392 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electrostatic potential of a uniformly charged disk through Green's theorem Sagaydak, Alina E. Silagadze, Zurab K. Classical Physics 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. |
| title | Electrostatic potential of a uniformly charged disk through Green's theorem |
| topic | Classical Physics |
| url | https://arxiv.org/abs/2407.00392 |