A coil of 15 turns and radius 10.0cm surrounds a long solenoid of radius 2.00cm and 1.00 x 10^3 turns/meter. Figure in textbook (fig. P31.14) the current in the solenoid changes as I = 5.00sin 120t, where I is in amperes and t is in seconds. Find the induced emf in the 15-turn coil as a function of time.