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A new method for calculating inductances is presented. The method results in analytically simple expressions that replace the traditional tables and working formulae. Moreover, it overcomes the diverging self-inductances of thin wires.

In this work we treat a resistive toroidal conductor carrying a steady azimuthal current. We calculate the electric potential everywhere in space. We also present the electric field inside and outside the toroid and the surface charge distribution along the conductor. We compare our theoretical result with Jefimenko's experiment.

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