Two methods for solving electrostatic problems with azimuthal symmetry

Detalhes bibliográficos
Autor(a) principal: Bueno,T.E.P.
Data de Publicação: 2020
Outros Autores: Silva,U. Camara da
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=S1806-11172020000100412
Resumo: Abstract The study of electrostatic phenomena is the gateway to the physics described by Classical Electrodynamics. In this paper, we discuss in detail two methods based on the Uniqueness Theorem for solving electrostatic problems with azimuthal symmetry. The first one is the electrostatic potential extension from the axis of symmetry to an arbitrary point. The other consists in the mutual mapping between two potentials through an inversion transformation. We have prepared a list of six examples for which we calculate, completely or partially, the electrostatic potentials for different charge distributions using both methods. The electric field lines are analyzed and presented graphically in all cases.
id SBF-1_27b7e4d22bc9aa4ce9c47f7acccd3468
oai_identifier_str oai:scielo:S1806-11172020000100412
network_acronym_str SBF-1
network_name_str Revista Brasileira de Ensino de Física (Online)
repository_id_str
spelling Two methods for solving electrostatic problems with azimuthal symmetryElectrostaticAzimuthal SymmetryUniqueness TheoremMethod of InversionAbstract The study of electrostatic phenomena is the gateway to the physics described by Classical Electrodynamics. In this paper, we discuss in detail two methods based on the Uniqueness Theorem for solving electrostatic problems with azimuthal symmetry. The first one is the electrostatic potential extension from the axis of symmetry to an arbitrary point. The other consists in the mutual mapping between two potentials through an inversion transformation. We have prepared a list of six examples for which we calculate, completely or partially, the electrostatic potentials for different charge distributions using both methods. The electric field lines are analyzed and presented graphically in all cases.Sociedade Brasileira de Física2020-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172020000100412Revista Brasileira de Ensino de Física v.42 2020reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2019-0225info:eu-repo/semantics/openAccessBueno,T.E.P.Silva,U. Camara daeng2019-11-12T00:00:00Zoai:scielo:S1806-11172020000100412Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2019-11-12T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Two methods for solving electrostatic problems with azimuthal symmetry
title Two methods for solving electrostatic problems with azimuthal symmetry
spellingShingle Two methods for solving electrostatic problems with azimuthal symmetry
Bueno,T.E.P.
Electrostatic
Azimuthal Symmetry
Uniqueness Theorem
Method of Inversion
title_short Two methods for solving electrostatic problems with azimuthal symmetry
title_full Two methods for solving electrostatic problems with azimuthal symmetry
title_fullStr Two methods for solving electrostatic problems with azimuthal symmetry
title_full_unstemmed Two methods for solving electrostatic problems with azimuthal symmetry
title_sort Two methods for solving electrostatic problems with azimuthal symmetry
author Bueno,T.E.P.
author_facet Bueno,T.E.P.
Silva,U. Camara da
author_role author
author2 Silva,U. Camara da
author2_role author
dc.contributor.author.fl_str_mv Bueno,T.E.P.
Silva,U. Camara da
dc.subject.por.fl_str_mv Electrostatic
Azimuthal Symmetry
Uniqueness Theorem
Method of Inversion
topic Electrostatic
Azimuthal Symmetry
Uniqueness Theorem
Method of Inversion
description Abstract The study of electrostatic phenomena is the gateway to the physics described by Classical Electrodynamics. In this paper, we discuss in detail two methods based on the Uniqueness Theorem for solving electrostatic problems with azimuthal symmetry. The first one is the electrostatic potential extension from the axis of symmetry to an arbitrary point. The other consists in the mutual mapping between two potentials through an inversion transformation. We have prepared a list of six examples for which we calculate, completely or partially, the electrostatic potentials for different charge distributions using both methods. The electric field lines are analyzed and presented graphically in all cases.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01
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=S1806-11172020000100412
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172020000100412
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2019-0225
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.42 2020
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_ 1752122424449564672

Registros relacionados