Subtleties in energy calculations in the image method

In this pedagogical work, we point out a subtle mistake that can be made by undergraduate or graduate students in the computation of the electrostatic energy of a system containing charges and perfect conductors if they naively use the image method. Specifically, we show that naive expressions for t...

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Principais autores: Taddei, M. M., Mendes, Tarciro Nortarson Chaves, Farina, C.
Formato: article
Idioma:English
Publicado em: IOP Publishing
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Subtleties
Endereço do item:https://repositorio.ufrn.br/handle/123456789/31219
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spelling ri-123456789-312192022-10-19T20:03:04Z Subtleties in energy calculations in the image method Taddei, M. M. Mendes, Tarciro Nortarson Chaves Farina, C. Subtleties In this pedagogical work, we point out a subtle mistake that can be made by undergraduate or graduate students in the computation of the electrostatic energy of a system containing charges and perfect conductors if they naively use the image method. Specifically, we show that naive expressions for the electrostatic energy for these systems obtained directly from the image method are wrong by a factor of 1/2. We start our discussion with well-known examples, namely point charge–perfectly conducting wall and point charge–perfectly conducting sphere, and then proceed to the demonstration of general results, valid for conductors of arbitrary shapes 2021-01-07T13:56:45Z 2021-01-07T13:56:45Z 2009-07-08 article TADDEI, M M; MENDES, T N C; FARINA, C. Subtleties in energy calculations in the image method. European Journal of Physics, [S.L.], v. 30, n. 5, p. 965-972, 8 jul. 2009. Disponível em: https://iopscience.iop.org/article/10.1088/0143-0807/30/5/005. Acesso em: 14 out. 2020. http://dx.doi.org/10.1088/0143-0807/30/5/005. 1361-6404 0143-0807 https://repositorio.ufrn.br/handle/123456789/31219 10.1088/0143-0807/30/5/005 en IOP Publishing
institution Repositório Institucional
collection RI - UFRN
language English
topic Subtleties
spellingShingle Subtleties
Taddei, M. M.
Mendes, Tarciro Nortarson Chaves
Farina, C.
Subtleties in energy calculations in the image method
description In this pedagogical work, we point out a subtle mistake that can be made by undergraduate or graduate students in the computation of the electrostatic energy of a system containing charges and perfect conductors if they naively use the image method. Specifically, we show that naive expressions for the electrostatic energy for these systems obtained directly from the image method are wrong by a factor of 1/2. We start our discussion with well-known examples, namely point charge–perfectly conducting wall and point charge–perfectly conducting sphere, and then proceed to the demonstration of general results, valid for conductors of arbitrary shapes
format article
author Taddei, M. M.
Mendes, Tarciro Nortarson Chaves
Farina, C.
author_facet Taddei, M. M.
Mendes, Tarciro Nortarson Chaves
Farina, C.
author_sort Taddei, M. M.
title Subtleties in energy calculations in the image method
title_short Subtleties in energy calculations in the image method
title_full Subtleties in energy calculations in the image method
title_fullStr Subtleties in energy calculations in the image method
title_full_unstemmed Subtleties in energy calculations in the image method
title_sort subtleties in energy calculations in the image method
publisher IOP Publishing
publishDate 2021
url https://repositorio.ufrn.br/handle/123456789/31219
work_keys_str_mv AT taddeimm subtletiesinenergycalculationsintheimagemethod
AT mendestarcironortarsonchaves subtletiesinenergycalculationsintheimagemethod
AT farinac subtletiesinenergycalculationsintheimagemethod
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