Acoil 4.00 cm in radius, containing 500 turns, is placed in a uniform magnetic field that varies with time according to b = 10.0120 t> s2t + 13.00 * 10-5 t> s 4 2t 4 . the coil is connected to a 600@ω resistor, and its plane is perpendicular to the magnetic field. you can ignore the resistance of the coil. (a) find the magnitude of the induced emf in the coil as a function of time. (b) what is the current in the resistor at time t = 5.00 s?