Solenoid S1 has N1 turns, radius R1, and length ℓ. It is so long that its magnetic field is uniform nearly everywhere inside it and is nearly zero outside. Solenoid S2 has N2 turns, radius R2 < R1, and the same length as S1. It lies inside S1, with their axes parallel. (a) Assume S1 carries variable current i. Compute the mutual inductance characterizing the emf induced in S2. (b) Now assume S2 carries current i. Compute the mutual inductance to which the emf in S1 is proportional. (c) State how the results of parts (a) and (b) compare with each other.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Solenoid S1 has N1 turns, radius R1, and length ℓ. It is so long that its magnetic field is uniform nearly everywhere inside it and is nearly zero outside. Solenoid S2 has N2 turns, radius R2 < R1, and the same length as S1. It lies inside S1, with their axes parallel. (a) Assume S1 carries variable current i. Compute the mutual inductance characterizing the emf induced in S2. (b) Now assume S2 carries current i. Compute the mutual inductance to which the emf in S1 is proportional. (c) State how the results of parts (a) and (b) compare with each other.

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