Magnetic induction of spherical and prolate spheroidal bodies with infinitesimally thin current bands having a common axis of symmetry and in uniform inducing field, a summary

Magnetic induction is calculated for several configurations of ferromagnetic spherical and prolate spheroidal bodies (hollow and solid) with internal and/or external infinitesimally thin spherical and spheroidal current bands, respectively. Magnetic induction is presented for ferromagnetic spherical and spheroidal bodies in a constant inducing field of arbitrary orientation. The ferromagnetic bodies are assumed to be linear and homogeneous. The reduction of the current band problem solutions to that of a current band in vacuum is shown when the permeability of the ferromagnetic body is allowed to approach that of vacuum. The application of the super-position principle to obtain a total magnetic field solution for the case of a ferromagnetic body (hollow or solid) surrounding and/or surrounded by a current band and immersed in a uniform inducing field of arbitrary direction, is discussed.