THEORETICAL-STUDY OF MAGNETIC-FIELD OF CURRENT MONOPOLES IN SPECIAL VOLUME CONDUCTOR USING SYMMETRY ANALYSIS

We derive a formula for the magnetic held outside volume conductors ha ving axial symmetry with radial and axial symmetrically distributed so urce currents. The magnetic field is shown to have components only alo ng the cylindrical polar angle direction and its magnitude to depend o nly on the topological structure of the volume conductor and the locat ion of the source current, With this formula, the magnetic field gener ated by the volume current of a current monopole within and on the sym metrical axis of several volume conductors (such as semiinfinite volum e, infinite slab, sphere, infinite cylinder, semi-infinite cylinder, f inite cylinder, prolate spheroid, and oblate spheroid) is shown to be equivalent to, the magnetic field generated by a line current calculat ed using the Biot-Savart's law, In the first three volume conductors, the monopole solution of the magnetic held allows the calculation of m agnetic fields generated by arbitrarily distributed (and balanced for finite volume conductors) current monopoles.