An aluminum ring of radius r1 = 5.00 cm and resistance 3.00 x 10-4 V is placed around one end of a long aircore solenoid with 1 000 turns per meter and radius r2 = 3.00 cm as shown. Assume the axial component of the field produced by the solenoid is one-half as strong over the area of the end of the solenoid as at the center of the solenoid. Also assume the solenoid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of 270 A/s. (a) What is the induced current in the ring? At the center of the ring, what are (b) the magnitude and (c) the direction of the magnetic field produced by the induced current in the ring?
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