Abstract
We propose a general approach for solving the basic magnetostatic equation in the case of nonhomogeneous magnetic solids when their magnetic permeability depends on the coordinates. Seeking the strength of the resulting field reduces to finding two scalar functions satisfying a system of one integral and one differential equation with certain boundary conditions. Using this approach, we obtain an analytic solution of the magnetostatic equation for a ball with a model permeability in an arbitrary external field.
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This research was supported by a program of the Presidium of the Russian Academy of Sciences (Project No. 15-17-2-54).
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 187, No. 1, pp. 88–103, April, 2016.
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Dyakin, V.V., Kudryaschova, O.V. & Raevskii, V.Y. One approach to solving the basic equation of magnetostatics in the case of nonhomogeneous magnets. Theor Math Phys 187, 525–538 (2016). https://doi.org/10.1134/S0040577916040073
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DOI: https://doi.org/10.1134/S0040577916040073