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Solenoid S1 has N1 turns, radius R1, and length ,. It is
Chapter 32, Problem 44(choose chapter or problem)
Solenoid S1 has N1 turns, radius R1, and length ,. 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.
Questions & Answers
QUESTION:
Solenoid S1 has N1 turns, radius R1, and length ,. 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.
ANSWER:Step 1 of 7
(a)
Mutual inductance is defined as the capacity of any coil to induce the current in another secondary coil.
Solenoid creates a uniform magnetic field inside it and zero everywhere outside.
For current, number of turns , length , and magnetic permeability, the uniform magnetic field created inside the solenoid is given by: