The influence of insulating and conductive ellipsoidal objects on the impedance and permittivity of media

For ellipsoidal objects, the complex conductivity of the suspension depends on the objects' axis ratio and orientation. It can be described by analytical equations that were derived by combining the influential radius approach with the mixing equation of Maxwell and Wagner. Here, we consider conductive or insulating homogeneous spheroids, with their symmetry axes being oriented in parallel, in perpendicular or at random with respect to the external field. Considerations show that the field-induced orientations of both nonconductive and conductive objects will result in a reduction of the suspension's impedance and an increased dissipation of electrical energy.