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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Main Authors: I. Campos, J.L. Jiménez, M.A. López-Mariño
Format: Article
Language:Portuguese
Published: Sociedade Brasileira de Física 2012-06-01
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.
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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