A square coil of N=150 turns and side 12cm is placed in a uniform magnetic field of magnitude 0.30T. At t=0 the normal to the plane of the coil makes an angle of 30∘ with the magnetic field. The coil starts rotating with a constant angular speed of 120rad s−1.
(i) Write an expression for the instantaneous emf induced in the coil, including the initial orientation of the coil.
(ii) Calculate the magnitude of the induced emf at t=4.0ms.
(iii) Find the time after t=0 when the emf first reaches its maximum value.