An aluminum ring of radius r1 and resistance R is placed around one end of a long air-core solenoid with n turns per meter and smaller radius r2 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 ?I/?t. (a) What is the induced current in the ring? (Use any variable or symbol stated above along with the following as necessary: ?0 and ?.) Iring = ?I/?t Show transcribed image text An aluminum ring of radius r1 and resistance R is placed around one end of a long air-core solenoid with n turns per meter and smaller radius r2 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 I/t. (a) What is the induced current in the ring? (Use any variable or symbol stated above along with the following as necessary: 0 and .) Iring = I/t

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 6P

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An aluminum ring of radius r₁ and resistance R is placed around one end of a long air-core solenoid with n turns per meter and smaller radius r₂ 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

?I/?t.

(a) What is the induced current in the ring? (Use any variable or symbol stated above along with the following as necessary: ?₀ and ?.)
I_ring = ?I/?t

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