A short coil with radius R = 11.00 cm contains N = 27 turns and surrounds a long solenoid with radius r = 9.00 cm containing n = 49 turns per centimeter. The current in the short coil is increased at a constant rate from zero to i = 2.47 A in a time of t = 13.00 s. Calculate the induced potential difference in the long solenoid while the current is increasing in the short coil.