On the applicability limits of some ‘infinite’ models in the course of electricity and magnetism

Detalhes bibliográficos
Autor(a) principal: Ivchenko,Vladimir
Data de Publicação: 2021
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Brasileira de Ensino de Física (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100440
Resumo: We present a quantitative analysis of some ‘infinite’ models, occurring in the course of electricity and magnetism. First, we estimate the deviations from the models of an ideal parallel-plate capacitor and solenoid arising due to the bending field effect. Next, we consider the models of an infinite wire and plane of uniform charge. We show that in the first case the real electric field differs from the idealized one because of the finite length of the wire. In the second case this difference is caused also by the non-uniform surface charge density. The issues outlined in this article will be useful for advanced undergraduates, studying solutions to electrostatic and magnetostatic problems.
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spelling On the applicability limits of some ‘infinite’ models in the course of electricity and magnetismlimit transition modelsparallel-plate capacitorsolenoidinfinite charged wireinfinite charged planeWe present a quantitative analysis of some ‘infinite’ models, occurring in the course of electricity and magnetism. First, we estimate the deviations from the models of an ideal parallel-plate capacitor and solenoid arising due to the bending field effect. Next, we consider the models of an infinite wire and plane of uniform charge. We show that in the first case the real electric field differs from the idealized one because of the finite length of the wire. In the second case this difference is caused also by the non-uniform surface charge density. The issues outlined in this article will be useful for advanced undergraduates, studying solutions to electrostatic and magnetostatic problems.Sociedade Brasileira de Física2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100440Revista Brasileira de Ensino de Física v.43 2021reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2021-0108info:eu-repo/semantics/openAccessIvchenko,Vladimireng2021-04-27T00:00:00Zoai:scielo:S1806-11172021000100440Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2021-04-27T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv On the applicability limits of some ‘infinite’ models in the course of electricity and magnetism
title On the applicability limits of some ‘infinite’ models in the course of electricity and magnetism
spellingShingle On the applicability limits of some ‘infinite’ models in the course of electricity and magnetism
Ivchenko,Vladimir
limit transition models
parallel-plate capacitor
solenoid
infinite charged wire
infinite charged plane
title_short On the applicability limits of some ‘infinite’ models in the course of electricity and magnetism
title_full On the applicability limits of some ‘infinite’ models in the course of electricity and magnetism
title_fullStr On the applicability limits of some ‘infinite’ models in the course of electricity and magnetism
title_full_unstemmed On the applicability limits of some ‘infinite’ models in the course of electricity and magnetism
title_sort On the applicability limits of some ‘infinite’ models in the course of electricity and magnetism
author Ivchenko,Vladimir
author_facet Ivchenko,Vladimir
author_role author
dc.contributor.author.fl_str_mv Ivchenko,Vladimir
dc.subject.por.fl_str_mv limit transition models
parallel-plate capacitor
solenoid
infinite charged wire
infinite charged plane
topic limit transition models
parallel-plate capacitor
solenoid
infinite charged wire
infinite charged plane
description We present a quantitative analysis of some ‘infinite’ models, occurring in the course of electricity and magnetism. First, we estimate the deviations from the models of an ideal parallel-plate capacitor and solenoid arising due to the bending field effect. Next, we consider the models of an infinite wire and plane of uniform charge. We show that in the first case the real electric field differs from the idealized one because of the finite length of the wire. In the second case this difference is caused also by the non-uniform surface charge density. The issues outlined in this article will be useful for advanced undergraduates, studying solutions to electrostatic and magnetostatic problems.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100440
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100440
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2021-0108
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Revista Brasileira de Ensino de Física v.43 2021
reponame:Revista Brasileira de Ensino de Física (Online)
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Revista Brasileira de Ensino de Física (Online)
collection Revista Brasileira de Ensino de Física (Online)
repository.name.fl_str_mv Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv ||marcio@sbfisica.org.br
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