{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,15]],"date-time":"2025-11-15T05:05:05Z","timestamp":1763183105776,"version":"3.41.0"},"reference-count":11,"publisher":"Canadian Science Publishing","issue":"1","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.nrcresearchpress.com\/page\/about\/CorporateTextAndDataMining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Can. J. Phys."],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p> This paper explores Amp\u00e8re\u2019s circuital law (ACL) from an educational perspective. The interchangeability of the amp\u00e8rian loop with the current loop, an intrinsic symmetry of ACL that is seldom addressed in the literature or textbooks, is illustrated here. It is verified that the symmetry axis of a circular current is an amp\u00e8rian loop. The attempt to apply ACL to a finite wire, a common source of student misunderstanding, is used to highlight the limitations of ACL. The generalisation of ACL is illustrated using an instructive example where the displacement current is unconfined and not spatially uniform. This work is primarily intended for teachers and more advanced undergraduate students, who may benefit from the ideas that are presented here. <\/jats:p>","DOI":"10.1139\/p11-141","type":"journal-article","created":{"date-parts":[[2012,1,19]],"date-time":"2012-01-19T20:02:09Z","timestamp":1327003329000},"page":"67-72","source":"Crossref","is-referenced-by-count":7,"title":["Intrinsic symmetry of Amp\u00e8re\u2019s circuital law and other educational issues"],"prefix":"10.1139","volume":"90","author":[{"given":"Joaquim","family":"Anacleto","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica da Escola de Ci\u00eancias e Tecnologia da Universidade de Tr\u00e1s-os-Montes e Alto Douro, Apartado 1013, 5001-801 Vila Real, Portugal."},{"name":"IFIMUP and IN \u2013 Institute of Nanoscience and Nanotechnology, Departamento de F\u00edsica da Faculdade de Ci\u00eancias da Universidade do Porto, R. Campo Alegre 687, 4169-007 Porto, Portugal."}]},{"given":"Jos\u00e9 Manuel M.M.","family":"de Almeida","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica da Escola de Ci\u00eancias e Tecnologia da Universidade de Tr\u00e1s-os-Montes e Alto Douro, Apartado 1013, 5001-801 Vila Real, Portugal."}]},{"given":"J.M.","family":"Ferreira","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica da Escola de Ci\u00eancias e Tecnologia da Universidade de Tr\u00e1s-os-Montes e Alto Douro, Apartado 1013, 5001-801 Vila Real, Portugal."},{"name":"Centro de F\u00edsica At\u00f3mica da Universidade de Lisboa, Departamento de F\u00edsica da Faculdade de Ci\u00eancias, Av. Prof. Gama Pinto 2, 1649-003 Lisboa, Portugal."}]}],"member":"155","reference":[{"key":"refg1\/ref1","unstructured":"P.A. Tipler and G. Mosca. Physics for scientists and engineers. 5th ed. Freeman, New York. 2004."},{"key":"refg2\/ref2","unstructured":"D.J. Griffiths. Introduction to electrodynamics. 3rd ed. Prentice Hall, New Jersey. 1999."},{"key":"refg3\/ref3","doi-asserted-by":"crossref","unstructured":"J.D. Jackson. Classical electrodynamics. 3rd ed. Wiley, New York. 1999.","DOI":"10.1119\/1.19136"},{"key":"refg4\/ref4","unstructured":"R.P. Feynman, R.B. Leighton, and M. Sands. The Feynman lectures on physics. Vol. 2. 6th ed. Addison-Wesley, Amsterdam. 1977."},{"key":"refg5\/ref5","doi-asserted-by":"crossref","unstructured":"C. Nash. Topology and physics \u2013 a historical essay in history of topology. Elsevier, Amsterdam. 1999.","DOI":"10.1016\/B978-044482375-5\/50013-4"},{"key":"refg6\/ref6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevSTPER.6.020115"},{"key":"refg7\/ref7","doi-asserted-by":"publisher","DOI":"10.1088\/0143-0807\/29\/5\/013"},{"key":"refg8\/ref8","doi-asserted-by":"publisher","DOI":"10.1119\/1.2181179"},{"key":"refg9\/ref9","doi-asserted-by":"publisher","DOI":"10.1109\/13.2322"},{"key":"refg10\/ref10","doi-asserted-by":"publisher","DOI":"10.1119\/1.3533223"},{"key":"refg11\/ref11","doi-asserted-by":"publisher","DOI":"10.1109\/MAP.2009.5433097"}],"container-title":["Canadian Journal of Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/cdnsciencepub.com\/doi\/full-xml\/10.1139\/p11-141","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/cdnsciencepub.com\/doi\/pdf\/10.1139\/p11-141","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T19:07:18Z","timestamp":1751483238000},"score":1,"resource":{"primary":{"URL":"https:\/\/cdnsciencepub.com\/doi\/10.1139\/p11-141"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1139\/p11-141"],"URL":"https:\/\/doi.org\/10.1139\/p11-141","relation":{},"ISSN":["0008-4204","1208-6045"],"issn-type":[{"type":"print","value":"0008-4204"},{"type":"electronic","value":"1208-6045"}],"subject":[],"published":{"date-parts":[[2012,1]]}}}