A relation underlying the electromagnetic analogy method has been derived from the Biot€--€Savart and Coulomb laws: the magnetic field B generated by a current I in a closed conducting loop L and the electric field E of a thin double charged layer of the area S bounded by the same loop L are linked by the formula: B=($\epsilon_0\mu _0I/p_{1e}$), E, where $p_{1e}$ is the electric moment per unit area S and $\epsilon_0\mu _0$ are permittivity and permeability of free space. Examples are given where this electromagnetic analogy may be used for solving a number of electro- and magnetostatics problems.

Keywords: electrostatics, magnetostatics, electric dipole, magnetic dipole, capacitance, inductance PACS: 03.50.De, 41.20.Cv, 41.20.Gz (all) DOI: 10.3367/UFNe.2018.03.038303 URL: https://ufn.ru/en/articles/2019/4/g/ 000472874200007 2-s2.0-85072527341 2019PhyU...62..413G Citation: Gaidukov G N, Gorbatyy I N "Electromagnetic analogies in electro- and magnetostatics problems" Phys. Usp. 62 413–420 (2019) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 6th, November 2017, revised: 27th, February 2018, accepted: 6th, March 2018 Оригинал: Гайдуков Г Н, Горбатый И Н «Электромагнитные аналогии в задачах электро- и магнитостатики» УФН 189 441–448 (2019); DOI: 10.3367/UFNr.2018.03.038303