Electromagnetic momentum balance equation and the force density in material media
We present a momentum balance equation derived directly from Maxwell's equations. This equation contains a force density, which we call Maxwell's force density, which generalizes the Lorentz force density, now including total fields rather than only external fields, and arbitrary charge an...
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Format: | Article |
Language: | Portuguese |
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Sociedade Brasileira de Física
2012-06-01
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Series: | Revista Brasileira de Ensino de Física |
Subjects: | |
Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000200006&tlng=en |
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author | I. Campos J.L. Jiménez M.A. López-Mariño |
author_facet | I. Campos J.L. Jiménez M.A. López-Mariño |
author_sort | I. Campos |
collection | DOAJ |
description | We present a momentum balance equation derived directly from Maxwell's equations. This equation contains a force density, which we call Maxwell's force density, which generalizes the Lorentz force density, now including total fields rather than only external fields, and arbitrary charge and current distributions. As a test for this balance equation we derive for gases the electrostatic and magnetostatic Helmholtz force densities. This deduction will be useful for advanced undergraduates and graduate students, as well as for specialists interested in the conceptual aspects of electromagnetism. |
first_indexed | 2024-04-11T16:41:05Z |
format | Article |
id | doaj.art-f900d7139adf4d1fa5c2e2a8f5be8cc5 |
institution | Directory Open Access Journal |
issn | 1806-9126 |
language | Portuguese |
last_indexed | 2024-04-11T16:41:05Z |
publishDate | 2012-06-01 |
publisher | Sociedade Brasileira de Física |
record_format | Article |
series | Revista Brasileira de Ensino de Física |
spelling | doaj.art-f900d7139adf4d1fa5c2e2a8f5be8cc52022-12-22T04:13:41ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-91262012-06-0134210.1590/S1806-11172012000200006Electromagnetic momentum balance equation and the force density in material mediaI. Campos0J.L. Jiménez1M.A. López-Mariño2Universidad Nacional Autónoma de MéxicoUniversidad Autónoma MetropolitanaTecnológico de MonterreyWe present a momentum balance equation derived directly from Maxwell's equations. This equation contains a force density, which we call Maxwell's force density, which generalizes the Lorentz force density, now including total fields rather than only external fields, and arbitrary charge and current distributions. As a test for this balance equation we derive for gases the electrostatic and magnetostatic Helmholtz force densities. This deduction will be useful for advanced undergraduates and graduate students, as well as for specialists interested in the conceptual aspects of electromagnetism.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000200006&tlng=enMaxwell's equationsBalance equationelectromagnetic force density |
spellingShingle | I. Campos J.L. Jiménez M.A. López-Mariño Electromagnetic momentum balance equation and the force density in material media Revista Brasileira de Ensino de Física Maxwell's equations Balance equation electromagnetic force density |
title | Electromagnetic momentum balance equation and the force density in material media |
title_full | Electromagnetic momentum balance equation and the force density in material media |
title_fullStr | Electromagnetic momentum balance equation and the force density in material media |
title_full_unstemmed | Electromagnetic momentum balance equation and the force density in material media |
title_short | Electromagnetic momentum balance equation and the force density in material media |
title_sort | electromagnetic momentum balance equation and the force density in material media |
topic | Maxwell's equations Balance equation electromagnetic force density |
url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000200006&tlng=en |
work_keys_str_mv | AT icampos electromagneticmomentumbalanceequationandtheforcedensityinmaterialmedia AT jljimenez electromagneticmomentumbalanceequationandtheforcedensityinmaterialmedia AT malopezmarino electromagneticmomentumbalanceequationandtheforcedensityinmaterialmedia |