An aluminum ring of radius r₁ = 5.00 cm and a resistance of 3.25 × 10-4 is placed around one end of a long air-core solenoid with 1 020 turns per meter and radius r₂ = 3.00 cm as 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? μτ

An aluminum ring of radius r₁ = 5.00 cm and a resistance of 3.25 × 10-4 is placed around one end of a long air-core solenoid with 1 020 turns per meter and radius r₂ = 3.00 cm as 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? μτ