Unified Approach to The Electromagnetic Field: The Role of Sources, Causality and Wave Propagation
Resumen:
The question of the sources of electric and magnetic fields and their causes has been discussed extensively in the literature over the last decades. In this article, we approach this problem from the unified treatment of electromagnetic fields emphasizing the role of their sources in accordance with the cause-effect relationships. First, we analyze whether this unified treatment contributes to a better understanding of these phenomena. Then, we discuss the implications for teaching of a correct understanding of electromagnetic field sources and causality in Maxwell's equations. In particular, we present a series of examples at the introductory physics level that allow us to recognize the reasons why considering electric and magnetic fields as disjoint entities can lead to contradictions.
2023 | |
física electromagnetismo enseñanza de la física |
|
Inglés | |
ANEP. Consejo de Formación en Educación | |
RIdAA-CFE | |
http://repositorio.cfe.edu.uy/123456789/2732 | |
Acceso abierto | |
cc by 4.0 |
_version_ | 1815416038183927808 |
---|---|
author | Suárez, Álvaro |
author2 | Martí, Arturo C. Zuza, Kristina Guisasola, Jenaro |
author2_role | author author author |
author_facet | Suárez, Álvaro Martí, Arturo C. Zuza, Kristina Guisasola, Jenaro |
author_role | author |
bitstream.checksum.fl_str_mv | f20cf00eecf2fcfe5154724756b8fbe0 df766076a5772cb4184b94046e67735a 3180242258b7c621343e217be235e23c 2300a8787f5c6bfdd2ccb6ce84669058 |
bitstream.checksumAlgorithm.fl_str_mv | MD5 MD5 MD5 MD5 |
bitstream.url.fl_str_mv | http://repositorio.cfe.edu.uy/bitstream/123456789/2732/2/Su%c3%a1rez%2c%20A.%20Unified.pdf http://repositorio.cfe.edu.uy/bitstream/123456789/2732/1/license.txt http://repositorio.cfe.edu.uy/bitstream/123456789/2732/3/Su%c3%a1rez%2c%20A.%20Unified.pdf.txt http://repositorio.cfe.edu.uy/bitstream/123456789/2732/4/Su%c3%a1rez%2c%20A.%20Unified.pdf.jpg |
collection | RIdAA-CFE |
dc.creator.filiacion.ES.fl_str_mv | CFE UdelaR University of the Basque Country (UPV/EHU) University of the Basque Country (UPV/EHU) |
dc.creator.none.fl_str_mv | Suárez, Álvaro Martí, Arturo C. Zuza, Kristina Guisasola, Jenaro |
dc.date.accessioned.none.fl_str_mv | 2024-05-30T21:36:35Z |
dc.date.available.none.fl_str_mv | 2024-05-30 2024-05-30T21:36:35Z |
dc.date.issued.none.fl_str_mv | 2023-05 |
dc.date.submitted.none.fl_str_mv | 2024-05-30 |
dc.description.abstract.none.fl_txt_mv | The question of the sources of electric and magnetic fields and their causes has been discussed extensively in the literature over the last decades. In this article, we approach this problem from the unified treatment of electromagnetic fields emphasizing the role of their sources in accordance with the cause-effect relationships. First, we analyze whether this unified treatment contributes to a better understanding of these phenomena. Then, we discuss the implications for teaching of a correct understanding of electromagnetic field sources and causality in Maxwell's equations. In particular, we present a series of examples at the introductory physics level that allow us to recognize the reasons why considering electric and magnetic fields as disjoint entities can lead to contradictions. |
dc.format.ES.fl_str_mv | pdf |
dc.format.extent.ES.fl_str_mv | 16 p |
dc.identifier.isbn.ES.fl_str_mv | 1309-7202 |
dc.identifier.uri.none.fl_str_mv | http://repositorio.cfe.edu.uy/123456789/2732 |
dc.language.iso.none.fl_str_mv | eng |
dc.publisher.ES.fl_str_mv | Pupil Education |
dc.rights.ES.fl_str_mv | openAccess |
dc.rights.license.none.fl_str_mv | cc by 4.0 |
dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
dc.source.ES.fl_str_mv | European Journal of Physics Education; 14, 2 (2023) |
dc.source.none.fl_str_mv | reponame:RIdAA-CFE instname:ANEP. Consejo de Formación en Educación instacron:ANEP. Consejo de Formación en Educación |
dc.subject.ES.fl_str_mv | física electromagnetismo |
dc.subject.keywords.ES.fl_str_mv | enseñanza de la física |
dc.title.none.fl_str_mv | Unified Approach to The Electromagnetic Field: The Role of Sources, Causality and Wave Propagation |
dc.type.ES.fl_str_mv | info:eu-repo/semantics/article |
dc.type.version.ES.fl_str_mv | published |
dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
description | The question of the sources of electric and magnetic fields and their causes has been discussed extensively in the literature over the last decades. In this article, we approach this problem from the unified treatment of electromagnetic fields emphasizing the role of their sources in accordance with the cause-effect relationships. First, we analyze whether this unified treatment contributes to a better understanding of these phenomena. Then, we discuss the implications for teaching of a correct understanding of electromagnetic field sources and causality in Maxwell's equations. In particular, we present a series of examples at the introductory physics level that allow us to recognize the reasons why considering electric and magnetic fields as disjoint entities can lead to contradictions. |
eu_rights_str_mv | openAccess |
format | article |
id | CFE_6bbdb285a9930450cc2285f7828cc790 |
identifier_str_mv | 1309-7202 |
instacron_str | ANEP. Consejo de Formación en Educación |
institution | ANEP. Consejo de Formación en Educación |
instname_str | ANEP. Consejo de Formación en Educación |
language | eng |
network_acronym_str | CFE |
network_name_str | RIdAA-CFE |
oai_identifier_str | oai:repositorio.cfe.edu.uy:123456789/2732 |
publishDate | 2023 |
reponame_str | RIdAA-CFE |
repository.mail.fl_str_mv | mariavaleriapaulo@gmail.com |
repository.name.fl_str_mv | RIdAA-CFE - ANEP. Consejo de Formación en Educación |
repository_id_str | 10159 |
rights_invalid_str_mv | cc by 4.0 openAccess |
spelling | cc by 4.0openAccessinfo:eu-repo/semantics/openAccessSuárez, ÁlvaroMartí, Arturo C.Zuza, KristinaGuisasola, JenaroCFEUdelaRUniversity of the Basque Country (UPV/EHU)University of the Basque Country (UPV/EHU)2024-05-30T21:36:35Z2024-05-302024-05-30T21:36:35Z2023-052024-05-301309-7202http://repositorio.cfe.edu.uy/123456789/2732The question of the sources of electric and magnetic fields and their causes has been discussed extensively in the literature over the last decades. In this article, we approach this problem from the unified treatment of electromagnetic fields emphasizing the role of their sources in accordance with the cause-effect relationships. First, we analyze whether this unified treatment contributes to a better understanding of these phenomena. Then, we discuss the implications for teaching of a correct understanding of electromagnetic field sources and causality in Maxwell's equations. In particular, we present a series of examples at the introductory physics level that allow us to recognize the reasons why considering electric and magnetic fields as disjoint entities can lead to contradictions.pdf16 pengPupil EducationEuropean Journal of Physics Education; 14, 2 (2023)reponame:RIdAA-CFEinstname:ANEP. Consejo de Formación en Educacióninstacron:ANEP. Consejo de Formación en Educaciónfísicaelectromagnetismoenseñanza de la físicaUnified Approach to The Electromagnetic Field: The Role of Sources, Causality and Wave Propagationinfo:eu-repo/semantics/articlepublishedinfo:eu-repo/semantics/publishedVersionsemestralORIGINALSuárez, A. Unified.pdfSuárez, A. Unified.pdfapplication/pdf424857http://repositorio.cfe.edu.uy/bitstream/123456789/2732/2/Su%c3%a1rez%2c%20A.%20Unified.pdff20cf00eecf2fcfe5154724756b8fbe0MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-86084http://repositorio.cfe.edu.uy/bitstream/123456789/2732/1/license.txtdf766076a5772cb4184b94046e67735aMD51TEXTSuárez, A. Unified.pdf.txtSuárez, A. Unified.pdf.txtExtracted texttext/plain44708http://repositorio.cfe.edu.uy/bitstream/123456789/2732/3/Su%c3%a1rez%2c%20A.%20Unified.pdf.txt3180242258b7c621343e217be235e23cMD53THUMBNAILSuárez, A. Unified.pdf.jpgSuárez, A. Unified.pdf.jpgGenerated Thumbnailimage/jpeg1395http://repositorio.cfe.edu.uy/bitstream/123456789/2732/4/Su%c3%a1rez%2c%20A.%20Unified.pdf.jpg2300a8787f5c6bfdd2ccb6ce84669058MD54123456789/27322024-05-31 03:00:25.957oai:repositorio.cfe.edu.uy: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://cfe.edu.uy/https://repositorio.cfe.edu.uy/oai/requestmariavaleriapaulo@gmail.comUruguayopendoar:101592024-07-25T16:08:04.537003RIdAA-CFE - ANEP. Consejo de Formación en Educaciónfalse |
spellingShingle | Unified Approach to The Electromagnetic Field: The Role of Sources, Causality and Wave Propagation Suárez, Álvaro física electromagnetismo enseñanza de la física |
status_str | publishedVersion |
title | Unified Approach to The Electromagnetic Field: The Role of Sources, Causality and Wave Propagation |
title_full | Unified Approach to The Electromagnetic Field: The Role of Sources, Causality and Wave Propagation |
title_fullStr | Unified Approach to The Electromagnetic Field: The Role of Sources, Causality and Wave Propagation |
title_full_unstemmed | Unified Approach to The Electromagnetic Field: The Role of Sources, Causality and Wave Propagation |
title_short | Unified Approach to The Electromagnetic Field: The Role of Sources, Causality and Wave Propagation |
title_sort | Unified Approach to The Electromagnetic Field: The Role of Sources, Causality and Wave Propagation |
topic | física electromagnetismo enseñanza de la física |
url | http://repositorio.cfe.edu.uy/123456789/2732 |