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Edge corrections for parallel-plate capacitors
Published online by Cambridge University Press: 30 April 2020
Abstract
As a result of field fringing, the capacitance of a parallel-plate capacitor differs from that predicted by the textbook formula. Using singular perturbations and conformal mapping techniques, we calculate the leading-order correction to the capacitance in the limit of large aspect ratio. We additionally obtain a comparable approximation for the electrostatic attraction between the plates.
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- This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
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- © The Author(s), 2020. Published by Cambridge University Press
Footnotes
This work was supported by the Israel Science Foundation (Grant no. 1081/16).
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