The method of separation of variables has been applied to derive the magnetic fields of four magnetostatic field problems. Three problems consist of infinitesimally thin spherical current bands and a ferromagnetic spherical shell. Two of these configurations have a magnetic spherical shell with an internal or external current band and the third has a spherical shell with both internal and external current bands. A fourth problem consists of a magnetic sphere with an external current band of finite width. Calculations of the magnetic field for sample problems are presented. The solutions are intended for analysis of the magnetizing behavior of ferromagnetic substances and have applicability in electrical machinery and magnet design.