Question: (a) Show that the Helmholtz theorem representation of the magnetization M(r) is equivalent to the equation B M = 0 (H M + M).

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