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Q. A semicircular wire of radius $R$ is rotated with constant angular velocity $\omega $ about an axis passing through one end and perpendicular to the plane of the wire. There is a uniform magnetic field of strength $B.$ The induced e.m.f. between the ends is :
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NTA AbhyasNTA Abhyas 2020

Solution:

$e=\frac{B \omega L^{2}}{2}$
effective length of the wire frame is $2R$
$\Rightarrow e=2B\omega R^{2}$