Analytical determination of eddy currents in a hollow sphere excited by an arbitrary dipole

In this paper an analytical solution for the quasistationary eddy current distribution in a hollow sphere is presented using a divergence free vector potential derived from another spatial vector function by applying the curl operator. The field is excited by a dipole of arbitrary orientation and position. The dissipated power is also considered and hints are given for the analytical treatment of multishield problems excited by current loops.