Flux inductance of plane conducting ring with azimuth density of current

Abstract

The analytic method for calculation of inductance and magnetic characteristics of conducting ring with finite radial width has been proposed. The method permits: 1) to calculate the radial distribution of magnetic fields, being formed in the internal space of the ring by the direct current; 2) to evaluate the value of magnetic flux, intersecting the internal surface of the ring; 3) to calculate the inductance, coupling the magnetic flux and the current, forming this flux, via the ring.