Electromagnetic Induction

Two coils have mutual inductance \(0.002 \mathrm{~H}\). The current changes in the first coil according to the relation \(\mathrm{i}=\mathrm{i}_0 \sin \omega \mathrm{t}\), where \(\mathrm{i}_0=5 \mathrm{~A}\) and \(\omega=50 \pi\) rad/s. The maximum value of emf in the second coil is \(\frac{\pi}{\alpha} \mathrm{~V}\). The value of \(\alpha\) is _______.