A circular loop wire of radius \(r\) rotates about the \(z\)-axis with angular velocity \(\omega....

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A circular loop wire of radius \(r\) rotates about the \(z\)-axis with angular velocity \(\omega\). The normal to the loop is always perpendicular to the \(z\)-axis. At time \(t=0\), the normal is parallel to the \(y\)-axis. An external magnetic field \(\vec{B}=B_y \hat{j}+B_z \hat{k}\) is applied. The EMF \(\varepsilon(t)\) induced in the loop is :
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