The Magnetic field for an n-cusped Epi-and Hypo-Cycloids loop current
Autor(a) principal: | |
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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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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 |
_version_ |
1752122425205587968 |