The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current

Detalhes bibliográficos
Autor(a) principal: Abad,David Romero
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=S1806-11172021000100422
Resumo: We calculate the magnetic field generated by a steady current that takes the shape of two types of special curves: hypocycloids and epicycloids with n numbers of sides. The computation was performed in the center of the referred curves. For this purpose, we use the Biot-Savart law which is studied in every introductory-level electricity and magnetism course. The result is quite general because it is obtained as a function of the number of sides of the curve and in terms of a parameter ϵ that identifies the type of curve considered (ϵ = −1 hypocycloids and ϵ = + 1 epicycloids).
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spelling The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop currentMagnetic fieldBiot-Savart LawHypocycloidEpicycloidWe calculate the magnetic field generated by a steady current that takes the shape of two types of special curves: hypocycloids and epicycloids with n numbers of sides. The computation was performed in the center of the referred curves. For this purpose, we use the Biot-Savart law which is studied in every introductory-level electricity and magnetism course. The result is quite general because it is obtained as a function of the number of sides of the curve and in terms of a parameter ϵ that identifies the type of curve considered (ϵ = −1 hypocycloids and ϵ = + 1 epicycloids).Sociedade Brasileira de Física2021-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100422Revista 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-2020-0482info:eu-repo/semantics/openAccessAbad,David Romeroeng2021-02-08T00:00:00Zoai:scielo:S1806-11172021000100422Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2021-02-08T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current
title The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current
spellingShingle The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current
Abad,David Romero
Magnetic field
Biot-Savart Law
Hypocycloid
Epicycloid
title_short The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current
title_full The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current
title_fullStr The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current
title_full_unstemmed The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current
title_sort The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current
author Abad,David Romero
author_facet Abad,David Romero
author_role author
dc.contributor.author.fl_str_mv Abad,David Romero
dc.subject.por.fl_str_mv Magnetic field
Biot-Savart Law
Hypocycloid
Epicycloid
topic Magnetic field
Biot-Savart Law
Hypocycloid
Epicycloid
description We calculate the magnetic field generated by a steady current that takes the shape of two types of special curves: hypocycloids and epicycloids with n numbers of sides. The computation was performed in the center of the referred curves. For this purpose, we use the Biot-Savart law which is studied in every introductory-level electricity and magnetism course. The result is quite general because it is obtained as a function of the number of sides of the curve and in terms of a parameter ϵ that identifies the type of curve considered (ϵ = −1 hypocycloids and ϵ = + 1 epicycloids).
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=S1806-11172021000100422
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172021000100422
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2020-0482
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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