Revisiting the displacement current: two key examples showing when and why it can be neglected
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.
| 2025 | |
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Displacement current Maxwell equations Coaxial cable |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/54102 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución (CC - By 4.0) |
| _version_ | 1875693314148139008 |
|---|---|
| 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. |
| dc.format.extent.es.fl_str_mv | 6 h |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| 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 |
| format | article |
| id | COLIBRI_c5af814c00cedb5c2a6c6246bfca48d6 |
| 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 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/54102 |
| publishDate | 2025 |
| reponame_str | COLIBRI |
| 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 |