The Third Theorem About Electromagnetic Forces Surface Representation in Anisotropic Regions

The paper concerns the theoretical problem of the electromagnetic force surface integral representation for diagonally anisotropic regions. The next theorem formulates an extension of the previous theorems, first and second (19), paragraph III. In anisotropic regions for evaluating force by means of the Maxwell stress tensor, an additional term has to be applied. The third theorem describes this additional term in simpler form than in (21), the volume integral of Maxwell stress tensor component differences. Moreover, it is pointed out that the surface integral of the Maxwell stress tensor describes the total electromagnetic force only in case of its symmetry. As an example, the levitations of a magnetically anisotropic cylinder and ball are presented.