Electrophysical Mechanism of the Skin Effect in a Metallic Conductor with an Alternating Electric Conduction Current

Abstract

An electrophysical mechanism is proposed that explains the nonuniform distribution of the intensities of the intrinsic alternating electromagnetic field (EMF) across the thickness of a massive isotropic nonmagnetic metallic conductor of rectangular cross section with an electric alternating conduction current i₀(t) of different amplitude–time parameters. The mechanism substantiating the manifestation of the skin effect in the specified conductor is based on the Faraday–Maxwell law of electromagnetic induction. It is mathematically shown that the induction alternating conduction currents and their alternating magnetic fields arising in the conductor material under the action of the alternating conduction current i₀(t) and, accordingly, under the action of the intrinsic alternating magnetic flux Ф₀(t) at dФ₀(t)/dt > 0 weaken the intensities of the intrinsic alternating EMF distributed inside the conductor and, at dФ₀(t)/dt < 0 maintain the EMF intensities decreasing with time and across the depth of the conductor material.