A conducting circular loop is placed in \( X-Y \) plane in presence of magnetic field \( \vec{B}...

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A conducting circular loop is placed in \( X-Y \) plane in presence of magnetic field \( \vec{B}=\left(3 t^{3} \hat{j}+3 t^{2} \hat{k}\right) \) in SI unit. If the radius of the loop is \( 1 \mathrm{~m} \), the induced emf in the loop, at time, \( t=2 \mathrm{~s} \) is \( n \pi V \). The value of \( n \) is
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