Equivalence of the Ampere and Biot-Savart force laws in magnetostatics

Christodoulides, C

dc.contributor.author	Christodoulides, C	en
dc.date.accessioned	2014-03-01T01:06:52Z
dc.date.available	2014-03-01T01:06:52Z
dc.date.issued	1987	en
dc.identifier.issn	0305-4470	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9644
dc.subject.classification	Physics, Multidisciplinary	en
dc.subject.classification	Physics, Mathematical	en
dc.title	Equivalence of the Ampere and Biot-Savart force laws in magnetostatics	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0305-4470/20/8/022	en
heal.identifier.secondary	022	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0305-4470/20/8/022	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	The equivalence of the Ampere and Biot-Savart force laws in magnetostatics is examined by considering the difference in the forces predicted by the two laws. The conditions under which this force difference vanishes are discussed, with special reference to the question of convergence of the integrals involved. The conclusions are that a complete current distribution exerts forces, which are the same according to both laws, when acting on a volume current element or a macroscopic part of a current distribution, irrespective of whether these are situated outside or inside the distribution exerting the force. These forces are shown to be normal to the current density vector at all points according to both force laws. Both the force distributions and stresses are predicted equal by both laws, thus proving the impossibility of devising an experiment which might differentiate between the two laws by measurements of forces exerted on a part of a circuit by the circuit itself. The equivalence of the two force laws in magnetostatistics is considered to be complete.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Journal of Physics A: General Physics	en
dc.identifier.doi	10.1088/0305-4470/20/8/022	en
dc.identifier.isi	ISI:A1987H589700022	en
dc.identifier.volume	20	en
dc.identifier.issue	8	en
dc.identifier.spage	2037	en
dc.identifier.epage	2042	en