A rectangular coil of single turn, having area \( \mathrm{A} \), ro...

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A rectangular coil of single turn, having area \( \mathrm{A} \), rotates in a uniform magnetic field \( \mathrm{B} \) an angular velocity \( \omega \) about an axis perpendicular to the field. If initially the plane of coil is perpendicular to the field, then the average induced e.m.f. when it has rotated through \( 90^{\circ} \) is
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