A circular coil of ' \( N \) ' turns, ' \( R \) ' radius carries a ...

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A circular coil of ' \( N \) ' turns, ' \( R \) ' radius carries a ' \( i \) '
\( \mathrm{P} \) current. Work done in rotating this coil in an external

W magnetic field from \( \theta_{1}=0^{\circ} \) to \( \theta_{2}=90^{\circ} \) :
(1) \( 2 \pi N i R^{2} B \)
(2) \( \frac{\pi N i R^{2} B}{2} \)
(3) \( \quad \pi N i R^{2} B \)
(4) \( \frac{\sqrt{3} \pi N i R^{2} B}{2} \)
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