Electromagnetic analogies in electro- and magnetostatics problems

A relation underlying the electromagnetic analogy method is derived from the Biot-Savart and Coulomb laws: the magnetic field B generated by a current I in a conducting loop L and the electric field E of a thin double charged layer of area S bounded by the same loop L are linked by the formula B = (...

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Veröffentlicht in:Physics Uspekhi 2019-04, Vol.62 (4), p.413-420
Hauptverfasser: Gaidukov, G N, Gorbatyi, I N
Format: Artikel
Sprache:eng
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Zusammenfassung:A relation underlying the electromagnetic analogy method is derived from the Biot-Savart and Coulomb laws: the magnetic field B generated by a current I in a conducting loop L and the electric field E of a thin double charged layer of area S bounded by the same loop L are linked by the formula B = (ε0μ0I/p1e) E, where p1e is the electric moment per unit area S, and ε0 and μ0 are the permittivity and permeability of free space. Examples are given where this electromagnetic analogy can be used for solving electro- and magnetostatics problems.
ISSN:1063-7869
1468-4780
DOI:10.3367/UFNe.2018.03.038303