Electromagnetic analogies in electro- and magnetostatics problems

Abstract

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 = (ε 0 μ 0 I/p 1e) E, where p 1e is the electric moment per unit area S, and ε 0 and μ 0 are the permittivity and permeability of free space. Examples are given where this electromagnetic analogy can be used for solving electro- and magnetostatics problems.