Magnetic energy of surface currents on a torus

Hanno Essén (Corresponding Author), Johan C.-E. Stén, Arne B. Nordmark

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)


The magnetic energy and inductance of current distributions 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.
Original languageEnglish
Pages (from-to)357-378
JournalProgress In Electromagnetics Research B
Publication statusPublished - 2013
MoE publication typeA1 Journal article-refereed


Dive into the research topics of 'Magnetic energy of surface currents on a torus'. Together they form a unique fingerprint.

Cite this