Rotor rotating in clockwise direction at constant \(\omega\) radians/sec.

velocity component perpendicular to field is \(v_p=v\sin\theta\)

The emf induced in conductor \(e=Blv\sin\theta\)

As the coil has two conductors only, \(e=2Blv\sin\theta\)

If the coil has \(N\) turns, \(e=2NBlv\sin\theta\)

emf induced in the coil \(e=2NBlv\cos\alpha\)