An aluminum ring of radius r1 = 5.00 cmand a resistance of 4.05 10-4 ? is placed around one end of a long air-core solenoid with 1 100 turns per meter and radius r2 = 3.00 cmas shown in the figure below. 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?

A

(b) At the center of the ring, what is the magnitude of the magnetic field produced by the induced current in the ring?

µT