Two coils have mutual inductance \( 0.002 \, \text{H} \). The current changes in the first coil according to the relation \( i = i_0 \sin \omega t \), where \( i_0 = 5 \, \text{A} \) and \( \omega = 50 \pi \, \text{rad/s} \). The maximum value of emf in the second coil is \( \frac{\pi}{\alpha} \, \text{V} \). The value of \( \alpha \) is __________.
