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Magnetic induction of ferromagnetic prolate spheroidal bodies and infinitesimally thin current bands

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2 Author(s)
Baker, F.Edward ; David Taylor Naval Ship Research and Development Center, Annapolis, Maryland 21402 ; Brown, Samuel H.

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This paper discusses the solution of the vector Laplace’s equation using the method of separation of variables to determine the magnetic field of three systems consisting of infinitesimally thin prolate spheroidal current bands and a ferromagnetic prolate spheroidal shell. Two configurations consist of a ferromagnetic spheroidal shell with an internal or external current band. The third configuration consists of a spheroidal shell with both internal and external current bands. The solutions are limited to dc currents and linear shell materials. They provide a method for calculating the interaction between the ferromagnetic material and the current band for symmetric and nonsymmetric current bands and a prolate spheroidal shell.

Published in:

Journal of Applied Physics  (Volume:53 ,  Issue: 6 )