A closed form solution for the proximity effect in a thin tubular conductor influenced by a parallel filament

Abstract

The present paper deals with the proximity effect in a system consisting of a thin tubular conductor and a filament. The integral equation for the current density in the tubular conductor is solved by assuming a solution in the form of an infinite Fourier series. By using this solution the a.c. to d.c. resistance ratio for the tubular conductor is also found in a closed form.