Some Electrostatic and Steady-Current Problems Involving Anisotropic Bodies

Solutions are given of six new electrostatic and steady-current problems involving anisotropic spheres and spheroids influenced by uniform electric fields. In the electrostatic problems derivations are given of the potentials and the mechanical action on the solid bodies; in the corresponding steady-current problems the physical principles are formally similar and the results are usually obtained by analogy. At the beginning careful consideration is given, in the light of modern knowledge, to the validity of the Maxwell stresses, which are subsequently used to obtain the mechanical action results. At the end a brief critical discussion is made of the possibility of utilizing these results experimentally for the determination of crystalline dielectric constants and conductivities.