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The Potential of a Spherical Magnetic Shell deduced from the Potential of a Coincident Layer of Attracting Matter

Published online by Cambridge University Press:  20 January 2009

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This is the problem of § 670 in Clerk Maxwell's Electricity and Magnetism. The author proposes to proceed by another method and to obtain the result in a different form. Let O be the centre of the spherical surface on which the shell lies and Z the point where the magnetic potential Vm is to be found. Also let ∅ be the strength of the shell (magnetic moment per unit area), α its internal, and α + δα its external radius. To represent the magnetic distribution let a layer of negative magnetic matter of density σ cover the inside face, and a corresponding positive layer the outside face. Finally, let Z be without the matter of the shell and on the positive side.

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Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1887