Electrostatics of two suspended spheres

Detalhes bibliográficos
Autor(a) principal: Dall'Agnol,Fernando Fuzinatto
Data de Publicação: 2012
Outros Autores: Mammana,Victor P., Engelsen,Daniel den
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=S1806-11172012000300008
Resumo: Although the working principle of a traditional electroscope with thin metal deflection foils is simple, one needs numerical methods to calculate its foil's deflection. If the electroscope is made of hanging spheres instead of foils, then it is possible to obtain an analytical solution. Since the separation of the charged spheres is of the order of their radius the spheres cannot be described as point charges. We apply the method of image charges to find the electrostatic force between the spheres and then we relate the voltage applied to their separation. We also discuss the similarity with the sphere-plane electrostatic problem. This approach can be used as an analytical solution for practical problems in the field of electrodynamics and its complexity is compatible with undergraduate courses.
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spelling Electrostatics of two suspended sphereselectroscopeelectrometermethod of imageimage chargeelectrostaticsphere-sphereAlthough the working principle of a traditional electroscope with thin metal deflection foils is simple, one needs numerical methods to calculate its foil's deflection. If the electroscope is made of hanging spheres instead of foils, then it is possible to obtain an analytical solution. Since the separation of the charged spheres is of the order of their radius the spheres cannot be described as point charges. We apply the method of image charges to find the electrostatic force between the spheres and then we relate the voltage applied to their separation. We also discuss the similarity with the sphere-plane electrostatic problem. This approach can be used as an analytical solution for practical problems in the field of electrodynamics and its complexity is compatible with undergraduate courses.Sociedade Brasileira de Física2012-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000300008Revista Brasileira de Ensino de Física v.34 n.3 2012reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S1806-11172012000300008info:eu-repo/semantics/openAccessDall'Agnol,Fernando FuzinattoMammana,Victor P.Engelsen,Daniel deneng2012-12-04T00:00:00Zoai:scielo:S1806-11172012000300008Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2012-12-04T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Electrostatics of two suspended spheres
title Electrostatics of two suspended spheres
spellingShingle Electrostatics of two suspended spheres
Dall'Agnol,Fernando Fuzinatto
electroscope
electrometer
method of image
image charge
electrostatic
sphere-sphere
title_short Electrostatics of two suspended spheres
title_full Electrostatics of two suspended spheres
title_fullStr Electrostatics of two suspended spheres
title_full_unstemmed Electrostatics of two suspended spheres
title_sort Electrostatics of two suspended spheres
author Dall'Agnol,Fernando Fuzinatto
author_facet Dall'Agnol,Fernando Fuzinatto
Mammana,Victor P.
Engelsen,Daniel den
author_role author
author2 Mammana,Victor P.
Engelsen,Daniel den
author2_role author
author
dc.contributor.author.fl_str_mv Dall'Agnol,Fernando Fuzinatto
Mammana,Victor P.
Engelsen,Daniel den
dc.subject.por.fl_str_mv electroscope
electrometer
method of image
image charge
electrostatic
sphere-sphere
topic electroscope
electrometer
method of image
image charge
electrostatic
sphere-sphere
description Although the working principle of a traditional electroscope with thin metal deflection foils is simple, one needs numerical methods to calculate its foil's deflection. If the electroscope is made of hanging spheres instead of foils, then it is possible to obtain an analytical solution. Since the separation of the charged spheres is of the order of their radius the spheres cannot be described as point charges. We apply the method of image charges to find the electrostatic force between the spheres and then we relate the voltage applied to their separation. We also discuss the similarity with the sphere-plane electrostatic problem. This approach can be used as an analytical solution for practical problems in the field of electrodynamics and its complexity is compatible with undergraduate courses.
publishDate 2012
dc.date.none.fl_str_mv 2012-09-01
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=S1806-11172012000300008
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172012000300008
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1806-11172012000300008
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.34 n.3 2012
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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