An aluminum ring of radius r₁=5.00 cm and a resistance of 3.25 x 104 is placed around one end of a long air-core solenoid with 980 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. 71 (a) What is the induced current in the ring? Ⓡ (b) At the center of the ring, what is the magnitude of the magnetic field produced by the induced current in the ring? HT

Principles of Physics: A Calculus-Based Text
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Chapter23: Faraday’s Law And Inductance
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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 980 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.
r₁
0
(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
Transcribed Image Text: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 980 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. r₁ 0 (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
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