Solution

ID: past-exam-of-the-materials-science-course-of-the-university-of-cambridge/2018/paper-1/2/c/iii/solution

Assume that the transverse field is large enough to saturate through the thickness despite demagnetizing effects, and retain the thin-layer plane-stress and open-circuit assumptions from part(a). The two imposed in-plane strains now become
Their sum is , whereas it was for longitudinal saturation. The in-plane stress sum, and hence the induced open-circuit voltage, is multiplied by :
Thus the magnitude is about with the opposite polarity, under this model. The larger demagnetizing field for an out-of-plane direction means the same external field magnitude might not produce the same degree of saturation. Changes in thickness constraint or strain transfer would also modify the estimate.

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