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=($\varepsilon_0 \mu_0 I/p_{\rm 1e})$E, where $p_{\rm 1e}$ is the electric moment per unit area $S$, and $\varepsilon _0$ and $\mu _0$ are the permittivity and permeability of free space. Examples are given where this electromagnetic analogy can be used for solving electro- and magnetostatics problems.