(a) Write the mathematical expression for the magnetic flux through a single turn of a flat coil of area A placed in a uniform magnetic field B when the normal to the coil makes an angle θ with the field.
(b) The coil is now set into uniform rotation with constant angular speed ω about an axis perpendicular to the magnetic field such that θ=0 at t=0. Show that the instantaneous emf induced in the coil varies sinusoidally with time.
(c) From your result in part (b), identify any two physical factors on which the peak value of the induced emf depends and explain how each factor affects that peak value.