(a) Show that the Helmholtz theorem representation of the magnetization M(r) is equivalent to the equation B...

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(a) Show that the Helmholtz theorem representation of the magnetization M(r) is equivalent to the equation BM = μ0(HM + M).


(b) The figure shows a thin film (infinite in the x and y directions) where alternating strips have constant magnetization M = ± Mŷ. Find B(r) and H(r) everywhere and discuss the behavior of the effective magnetization current density.


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