The induced magnetic dipole of a polarized sphere

A homogeneous spherical body with a frequency dependent complex resistivity is placed in a uniform time varying magnetic field. It is shown that the induced magnetic dipole has a complex form that depends on the ratio of the diameter to the internal skin depth in a customary fashion. But the frequency dependence of the induced dipole is also influenced by the polarization properties of the material. A Cole-Cole form for the complex resistivity is employed to characterize the electrochemical polarization.