The magnetic field distribution in a cylindrical ferromagnetic conductor is determined for the case of a direct current flowing along the axis of the cylinder and a constant external magnetic field applied in a direction transverse to the current flow. The Gauss-Seidel iteration method is employed to obtain the vector potentials for different values of current and external field with the aid of a digital computer. The magnetic fields are then calculated from the resultant vector potentials. Calculations are carried out for currentI = 1.5A, radius of the cylindera = 2mm, and external magnetic fieldB₀ = 0to 0.6 Wb/m2.
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Hong Yoon (1973) studied this question.
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