Elliptic Helmholtz coil
Autor(a) principal: | |
---|---|
Data de Publicação: | 2022 |
Outros Autores: | , , |
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=S1806-11172022000100448 |
Resumo: | Using the Biot-Savart law, we compute the magnetic field produced by steady currents that circulate in the same direction through two parallel ellipse-shaped loops. The calculation was performed along the axis that passes across the center of the ellipses. Then, we show that this arrangement produces a nearly uniform magnetic field for particular values of the semi-axis of the ellipse and the separation distance between the loops. This outcome is obtained as a consequence of numerically solving the second derivative condition. In addition, we show that, for the values reached, the elliptical Helmholtz coil produces results that are compatible with those of the classical circular Helmholtz coil. Finally, we show how the uniformity of the magnetic field varies for regions off the axis of the ellipses. The target readers of the paper are students pursuing physics at the intermediate undergraduate level. |
id |
SBF-1_b56fca32016d8965100113b1b629c9fc |
---|---|
oai_identifier_str |
oai:scielo:S1806-11172022000100448 |
network_acronym_str |
SBF-1 |
network_name_str |
Revista Brasileira de Ensino de Física (Online) |
repository_id_str |
|
spelling |
Elliptic Helmholtz coilHelmholtz coilelliptic loop currentelliptic integralsBiot-Savart lawUsing the Biot-Savart law, we compute the magnetic field produced by steady currents that circulate in the same direction through two parallel ellipse-shaped loops. The calculation was performed along the axis that passes across the center of the ellipses. Then, we show that this arrangement produces a nearly uniform magnetic field for particular values of the semi-axis of the ellipse and the separation distance between the loops. This outcome is obtained as a consequence of numerically solving the second derivative condition. In addition, we show that, for the values reached, the elliptical Helmholtz coil produces results that are compatible with those of the classical circular Helmholtz coil. Finally, we show how the uniformity of the magnetic field varies for regions off the axis of the ellipses. The target readers of the paper are students pursuing physics at the intermediate undergraduate level.Sociedade Brasileira de Física2022-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100448Revista Brasileira de Ensino de Física v.44 2022reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2022-0115info:eu-repo/semantics/openAccessRomero-Abad,DavidReyes-Portales,José-PedroLa Rosa-Navarro,José-LuisSuárez-Córdova,Robertoeng2022-06-29T00:00:00Zoai:scielo:S1806-11172022000100448Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2022-06-29T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false |
dc.title.none.fl_str_mv |
Elliptic Helmholtz coil |
title |
Elliptic Helmholtz coil |
spellingShingle |
Elliptic Helmholtz coil Romero-Abad,David Helmholtz coil elliptic loop current elliptic integrals Biot-Savart law |
title_short |
Elliptic Helmholtz coil |
title_full |
Elliptic Helmholtz coil |
title_fullStr |
Elliptic Helmholtz coil |
title_full_unstemmed |
Elliptic Helmholtz coil |
title_sort |
Elliptic Helmholtz coil |
author |
Romero-Abad,David |
author_facet |
Romero-Abad,David Reyes-Portales,José-Pedro La Rosa-Navarro,José-Luis Suárez-Córdova,Roberto |
author_role |
author |
author2 |
Reyes-Portales,José-Pedro La Rosa-Navarro,José-Luis Suárez-Córdova,Roberto |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Romero-Abad,David Reyes-Portales,José-Pedro La Rosa-Navarro,José-Luis Suárez-Córdova,Roberto |
dc.subject.por.fl_str_mv |
Helmholtz coil elliptic loop current elliptic integrals Biot-Savart law |
topic |
Helmholtz coil elliptic loop current elliptic integrals Biot-Savart law |
description |
Using the Biot-Savart law, we compute the magnetic field produced by steady currents that circulate in the same direction through two parallel ellipse-shaped loops. The calculation was performed along the axis that passes across the center of the ellipses. Then, we show that this arrangement produces a nearly uniform magnetic field for particular values of the semi-axis of the ellipse and the separation distance between the loops. This outcome is obtained as a consequence of numerically solving the second derivative condition. In addition, we show that, for the values reached, the elliptical Helmholtz coil produces results that are compatible with those of the classical circular Helmholtz coil. Finally, we show how the uniformity of the magnetic field varies for regions off the axis of the ellipses. The target readers of the paper are students pursuing physics at the intermediate undergraduate level. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-01-01 |
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=S1806-11172022000100448 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100448 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1806-9126-rbef-2022-0115 |
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.44 2022 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_ |
1752122425974194176 |