Mathematical analysis demonstrates electric fields and demagnetization factors for prolate spheroids, suggesting simpler computational methods for electrostatic boundary problems.
The method of images is applied to find the field and charge distribution for a conducting prolate spheroid in a uniform electric field via simple one-dimensional integrals. This solution is then repurposed to yield the demagnetization factors for a prolate spheroid.
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Garg et al. (2022) studied this question.
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