LXXV.Electromagnetic reactions between conducting and magnetic material, and an alternating current

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Abstract
The present paper is mainly mathematical in nature. It deals with the eddy currents and secondary magnetic fields due to the presence of a cylinder or plate of conducting and magnetic material in the neighbourhood of a current. Solutions are deduced for certain particular cases, such as the magnetic effect alone, eddy currents alone, and the effect of material of infinite thickness. A number of solutions of particular cases by different authors are shown to form part of a general scheme and to be deducible from a general solution. The present report furnishes a basis for deducing solutions for further particular cases which may arise, since the analysis is of wide application. Among these applications-may be mentioned the following:— Sheath losses in cables, the effect of metal work in the neighbourhood of cables upon the impedance and loading,, proximity effects between conductors, the heating of flanges-in transformer bushings, the forces on an arc drawn near metallic bodies and earth currents, including fault impedance and telephone interference.

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