MAGNETIC-FIELD OF CURRENT MONOPOLES IN PROLATE AND OBLATE SPHEROID VOLUME CONDUCTORS

We derive an equation for the magnetic field contributed from the volu me current generated by a current monopole in two special finite volum e conductor shapes, i.e., prolate spheroid and oblate spheroid. In der iving the equation, fixed referential current monopoles are added to t he finite system in order to balance the volume current generated by t he current monopole under study. The location of these monopoles is ch osen such that they produce an equipotential surface which coincides w ith the volume conductor and therefore do not contribute to the magnet ic field. The magnetic field generated by arbitrarily distributed, but balanced, current monopoles within a prolate or oblate spheroid volum e conductor can then be derived. The magnetic field generated by a cur rent dipole in these volume conductors can then be obtained from the m onopole solution and is identitical to the previously derived dipole s olution [1].