A coil of 100 turns of wire whose area is 20 cm2, and whose resistance is 2 Ω. The loop is placed in a region of a uniform magnetic field which is perpendicular to the plane of the coil. The magnitude of B varies in time according to the expression B = 10 sin (100π t) mT. (i) Find the induced emf and the induced current in the coil at a time t = 10 ms. (ii) Determine the times at which the polarity of the induced emf is reversed.