A single-turn rectangular loop of area 0.020m2 is rotated with a constant angular speed ω=50rads−1 about an axis in its plane that is perpendicular to a uniform magnetic field of magnitude 0.30T. At t=0, the plane of the loop is perpendicular to the magnetic field.
(i) Write an expression for the magnetic flux through the loop as a function of time.
(ii) Obtain the corresponding expression for the induced emf as a function of time.
(iii) Determine (a) the maximum value of the induced emf and (b) the instantaneous emf at t=10ms.