A magnetostatic field is due entirely to a localized distribution of permanent magnetization. (a) Show that ?

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A magnetostatic field is due entirely to a localized distribution of permanent magnetization.

(a) Show that

? B ? H d3x = 0

Provided the integral is taken over all space.

(b) From the potential energy (5.72) of a dipole in an external field, show that for a continuous distribution of permanent magnetization the magnetostatic energy can be written

image

Apart from an additive constant, which is independent of the orientation or position of the various constituent magnetizedbodies.

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