The Magnetic Field Produced from a Conical Current Sheet and from a Thin and Tightly-Wound Conical Coil

Abstract

Mathematical expressions for the components of the magnetic field produced by a conically-shaped current sheet and by a tightly-wound conical coil are presented. The conical current sheet forms the frustum of a cone. In the limit as the top radius of the frustum approaches the bottom radius, a cylindrical current sheet is formed. Mathematical expressions for the magnetic field produced by a cylindrical current sheet are then compared to known and published results.