Revisiting the displacement current: two key examples showing when and why it can be neglected

Suárez, Álvaro - Martí, Arturo - Monteiro, Martín

Resumen:

This work explores the role of the displacement current in systems beyond capacitors, focusing on coaxial cables and resistors with alternating currents. Although its contribution, compared to that of the conduction current, is negligible at low frequencies, the displacement current becomes essential for accurately describing electromagnetic fields in dynamic regimes. Introductory physics textbooks typically restrict the discussion of displacement currents to capacitor charging, which can limit the students’ understanding of its broader relevance and the interdependence of Maxwell’s equations. By analyzing two specific cases, we clarify the conditions under which the displacement current can be neglected, when simplified laws like Biot-Savart are valid, and where coupled electromagnetic equations are essential. This approach highlights the boundaries of common models and promotes a deeper understanding of dynamic field interactions.

Detalles Bibliográficos
2025
Displacement current
Maxwell equations
Coaxial cable
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/54102
Acceso abierto
Licencia Creative Commons Atribución (CC - By 4.0)
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author Suárez, Álvaro
author2 Martí, Arturo
Monteiro, Martín
author2_role author
author
author_facet Suárez, Álvaro
Martí, Arturo
Monteiro, Martín
author_role author
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collection COLIBRI
dc.contributor.filiacion.none.fl_str_mv Suárez Álvaro, ANEP
Martí Arturo, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.
Monteiro Martín, Universidad ORT (Uruguay).
dc.creator.none.fl_str_mv Suárez, Álvaro
Martí, Arturo
Monteiro, Martín
dc.date.accessioned.none.fl_str_mv 2026-03-25T17:28:15Z
dc.date.available.none.fl_str_mv 2026-03-25T17:28:15Z
dc.date.issued.none.fl_str_mv 2025
dc.description.abstract.none.fl_txt_mv This work explores the role of the displacement current in systems beyond capacitors, focusing on coaxial cables and resistors with alternating currents. Although its contribution, compared to that of the conduction current, is negligible at low frequencies, the displacement current becomes essential for accurately describing electromagnetic fields in dynamic regimes. Introductory physics textbooks typically restrict the discussion of displacement currents to capacitor charging, which can limit the students’ understanding of its broader relevance and the interdependence of Maxwell’s equations. By analyzing two specific cases, we clarify the conditions under which the displacement current can be neglected, when simplified laws like Biot-Savart are valid, and where coupled electromagnetic equations are essential. This approach highlights the boundaries of common models and promotes a deeper understanding of dynamic field interactions.
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dc.identifier.citation.es.fl_str_mv Suárez, Á, Martí, A y Monteiro, M. "Revisiting the displacement current: two key examples showing when and why it can be neglected". Revista Brasileira de Ensino de Física. [en línea] 2025, 47: e20250121. 6 h. DOI: 10.1590/1806-9126-RBEF-2025-0121
dc.identifier.doi.none.fl_str_mv 10.1590/1806-9126-RBEF-2025-0121
dc.identifier.issn.none.fl_str_mv 1806-9126
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/54102
dc.language.iso.none.fl_str_mv en
eng
dc.publisher.es.fl_str_mv Sociedade Brasileira de Física
dc.relation.none.fl_str_mv Revista Brasileira de Ensino de Física, 2025, 47: e20250121.
dc.rights.license.none.fl_str_mv Licencia Creative Commons Atribución (CC - By 4.0)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:COLIBRI
instname:Universidad de la República
instacron:Universidad de la República
dc.subject.es.fl_str_mv Displacement current
Maxwell equations
Coaxial cable
dc.title.none.fl_str_mv Revisiting the displacement current: two key examples showing when and why it can be neglected
dc.type.es.fl_str_mv Artículo
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.version.none.fl_str_mv info:eu-repo/semantics/publishedVersion
description This work explores the role of the displacement current in systems beyond capacitors, focusing on coaxial cables and resistors with alternating currents. Although its contribution, compared to that of the conduction current, is negligible at low frequencies, the displacement current becomes essential for accurately describing electromagnetic fields in dynamic regimes. Introductory physics textbooks typically restrict the discussion of displacement currents to capacitor charging, which can limit the students’ understanding of its broader relevance and the interdependence of Maxwell’s equations. By analyzing two specific cases, we clarify the conditions under which the displacement current can be neglected, when simplified laws like Biot-Savart are valid, and where coupled electromagnetic equations are essential. This approach highlights the boundaries of common models and promotes a deeper understanding of dynamic field interactions.
eu_rights_str_mv openAccess
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identifier_str_mv Suárez, Á, Martí, A y Monteiro, M. "Revisiting the displacement current: two key examples showing when and why it can be neglected". Revista Brasileira de Ensino de Física. [en línea] 2025, 47: e20250121. 6 h. DOI: 10.1590/1806-9126-RBEF-2025-0121
1806-9126
10.1590/1806-9126-RBEF-2025-0121
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publishDate 2025
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repository.mail.fl_str_mv karina.camps@seciu.edu.uy
repository.name.fl_str_mv COLIBRI - Universidad de la República
repository_id_str 4771
rights_invalid_str_mv Licencia Creative Commons Atribución (CC - By 4.0)
spelling Suárez Álvaro, ANEPMartí Arturo, Universidad de la República (Uruguay). Facultad de Ciencias. Instituto de Física.Monteiro Martín, Universidad ORT (Uruguay).2026-03-25T17:28:15Z2026-03-25T17:28:15Z2025Suárez, Á, Martí, A y Monteiro, M. "Revisiting the displacement current: two key examples showing when and why it can be neglected". Revista Brasileira de Ensino de Física. [en línea] 2025, 47: e20250121. 6 h. DOI: 10.1590/1806-9126-RBEF-2025-01211806-9126https://hdl.handle.net/20.500.12008/5410210.1590/1806-9126-RBEF-2025-0121This work explores the role of the displacement current in systems beyond capacitors, focusing on coaxial cables and resistors with alternating currents. Although its contribution, compared to that of the conduction current, is negligible at low frequencies, the displacement current becomes essential for accurately describing electromagnetic fields in dynamic regimes. Introductory physics textbooks typically restrict the discussion of displacement currents to capacitor charging, which can limit the students’ understanding of its broader relevance and the interdependence of Maxwell’s equations. By analyzing two specific cases, we clarify the conditions under which the displacement current can be neglected, when simplified laws like Biot-Savart are valid, and where coupled electromagnetic equations are essential. This approach highlights the boundaries of common models and promotes a deeper understanding of dynamic field interactions.Submitted by Pintos Natalia (nataliapintosmvd@gmail.com) on 2026-03-25T13:52:58Z No. of bitstreams: 2 license_rdf: 25630 bytes, checksum: e7132498e7c1fe99f7096667baa99b25 (MD5) 10.1590.1806-9126-RBEF-2025-0121.pdf: 1589918 bytes, checksum: c8b3549e8849d3701aef42033622fc34 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2026-03-25T13:56:26Z (GMT) No. of bitstreams: 2 license_rdf: 25630 bytes, checksum: e7132498e7c1fe99f7096667baa99b25 (MD5) 10.1590.1806-9126-RBEF-2025-0121.pdf: 1589918 bytes, checksum: c8b3549e8849d3701aef42033622fc34 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2026-03-25T17:28:15Z (GMT). No. of bitstreams: 2 license_rdf: 25630 bytes, checksum: e7132498e7c1fe99f7096667baa99b25 (MD5) 10.1590.1806-9126-RBEF-2025-0121.pdf: 1589918 bytes, checksum: c8b3549e8849d3701aef42033622fc34 (MD5) Previous issue date: 20256 happlication/pdfenengSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física, 2025, 47: e20250121.Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución (CC - By 4.0)Displacement currentMaxwell equationsCoaxial cableRevisiting the displacement current: two key examples showing when and why it can be neglectedArtículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaSuárez, ÁlvaroMartí, ArturoMonteiro, MartínLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/54102/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-844http://localhost:8080/xmlui/bitstream/20.500.12008/54102/2/license_urla0ebbeafb9d2ec7cbb19d7137ebc392cMD52license_textlicense_texttext/html; charset=utf-835407http://localhost:8080/xmlui/bitstream/20.500.12008/54102/3/license_text9b89647e00b8cce20e52d6482692980cMD53license_rdflicense_rdfapplication/rdf+xml; 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- Universidad de la Repúblicafalse
spellingShingle Revisiting the displacement current: two key examples showing when and why it can be neglected
Suárez, Álvaro
Displacement current
Maxwell equations
Coaxial cable
status_str publishedVersion
title Revisiting the displacement current: two key examples showing when and why it can be neglected
title_full Revisiting the displacement current: two key examples showing when and why it can be neglected
title_fullStr Revisiting the displacement current: two key examples showing when and why it can be neglected
title_full_unstemmed Revisiting the displacement current: two key examples showing when and why it can be neglected
title_short Revisiting the displacement current: two key examples showing when and why it can be neglected
title_sort Revisiting the displacement current: two key examples showing when and why it can be neglected
topic Displacement current
Maxwell equations
Coaxial cable
url https://hdl.handle.net/20.500.12008/54102