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An aluminum ring of radiusr and resistance R is placed around one end of a long air-core solenoid with n turns per meter and smaller radius r, as shown in the figure. Assume that the axial component of the field produced by the solenoid over the area of the end of the solenoid is one-half as strong as at the center of the solenoid. Also assume that the solenoid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of a/at. (a) What is the induced current in the ring? (Use any variable or symbol stated above along with the following as necessary: Ho and r.) Iring = AI/At (b) At the center of the ring, what is the magnetic field produced by the induced current in the ring? (Use any variable or symbol stated above in your along with the following as necessary: Ho and n. Do not use Iring answer

An aluminum ring of radiusr and resistance R is placed around one end of a long air-core solenoid with n turns per meter and smaller radius r, as shown in the figure. Assume that the axial component of the field produced by the solenoid over the area of the end of the solenoid is one-half as strong as at the center of the solenoid. Also assume that the solenoid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of a/at. (a) What is the induced current in the ring? (Use any variable or symbol stated above along with the following as necessary: Ho and r.) Iring = AI/At (b) At the center of the ring, what is the magnetic field produced by the induced current in the ring? (Use any variable or symbol stated above in your along with the following as necessary: Ho and n. Do not use Iring answer

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An aluminum ring of radius r, and resistance R is placed around one end of a long air-core solenoid with n turns per meter and smaller radius r, as shown in the figure. Assume that the axial component of the field produced by the solenoid over the area of the end of the solenoid is one-half as strong as at the center of the solenoid. Also assume that the solenoid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of a/at. (a) What is the induced current in the ring? (Use any variable or symbol stated above along with the following as necessary: Ho and r.) Iring AI/At (b) At the center of the ring, what is the magnetic field produced by the induced current in the ring? (Use any variable or symbol stated above along with the following as necessary: 4o and r. Do not use Iring in your answer.) B = ΔΙ/ Δt
Transcribed Image Text:An aluminum ring of radius r, and resistance R is placed around one end of a long air-core solenoid with n turns per meter and smaller radius r, as shown in the figure. Assume that the axial component of the field produced by the solenoid over the area of the end of the solenoid is one-half as strong as at the center of the solenoid. Also assume that the solenoid produces negligible field outside its cross-sectional area. The current in the solenoid is increasing at a rate of a/at. (a) What is the induced current in the ring? (Use any variable or symbol stated above along with the following as necessary: Ho and r.) Iring AI/At (b) At the center of the ring, what is the magnetic field produced by the induced current in the ring? (Use any variable or symbol stated above along with the following as necessary: 4o and r. Do not use Iring in your answer.) B = ΔΙ/ Δt
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