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Magnetic energy of surface currents on a torus
KTH, School of Engineering Sciences (SCI), Mechanics, Theoretical and Applied Mechanics.
KTH, School of Engineering Sciences (SCI), Mechanics, Structural Mechanics.
2013 (English)In: Progress in Electromagnetics Research B, ISSN 1937-6472, no 46, 357-378 p.Article in journal (Refereed) Published
Abstract [en]

The magnetic energy and inductance of current distribu-tions on the surface of a torus are considered. Specifically, we investigate the influence of the aspect ratio of the torus, and of the pitch angle for helical current densities, on the energy. We show that, for a fixed surface area of the torus, the energy experiences a minimum for a certain pitch angle. New analytical relationships are presented as well as a review of results scattered in the literature. Results for the ideally conducting torus, as well as for thin rings are given.

Place, publisher, year, edition, pages
2013. no 46, 357-378 p.
Keyword [en]
Fixed surfaces, Magnetic energies, Pitch angle, Surface current, Condensed matter physics, Radiation, Aspect ratio
National Category
Mechanical Engineering
URN: urn:nbn:se:kth:diva-134667DOI: 10.2528/PIERB12102909ScopusID: 2-s2.0-84875059111OAI: diva2:677776

QC 20131210

Available from: 2013-12-10 Created: 2013-11-27 Last updated: 2013-12-10Bibliographically approved

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