A 50-turn, 4.0-cm-diameter coil with R = 0.50 surrounds a 2.0-cm-diameter solenoid. The solenoid is 20

A 50-turn, 4.0-cm-diameter coil with R = 0.50 Ω surrounds a 2.0-cm-diameter solenoid. The solenoid is 20 cm long and has 200 turns. The 60 Hz current through the solenoid is I_sol = (0.50 A)sin(2πft). Find an expression for I_coil, the induced current in the coil as a function of time.