THE INDUCTION OF ELECTRIC CURRENTS IN A UNIFORM CIRCULAR DISK

Abstract

By regarding a uniform disk, or any symmetrically conducting surface of revolution, as composed of an infinite number of co-axial annular circuits, the determination of the electric currents induced by an external field is reduced to the solution of a Fredholm integral equation whose kernel K(x, x') has infinities of order log(x−x') when x = x'. Two methods of solving this equation are described and illustrated. The time constant for a uniform disk is calculated and agrees approximately with the value estimated by Lamb.