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Methodological notes

# Electromagnetic analogies in electro- and magnetostatics problems

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Moscow State Institute of Electronic Technology (Technical University), Zelenograd, Moscow, Russian Federation

A relation underlying the electromagnetic analogy method has been derived from the Biotˆ--ˆSavart 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.