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The interaction energy of electric multipoles in a plane and a point-multipole approximation for the electric field of conductorsa Department of Physics, Krasnoyarsk State University, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russian Federation A complex representation of the electric potential is applied to derive relationships describing the interaction energy of electric multipoles in a plane, which prove to be highly useful for variational calculations of the electric field in a system of parallel circular conductors.
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