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Solved: A toroidal solenoid with mean radius r and
Chapter 30, Problem 6E(choose chapter or problem)
A toroidal solenoid with mean radius r and cross-sectional area A is wound uniformly with \(N_{1}\) turns. A second toroidal solenoid with \(N_{2}\) turns is wound uniformly on top of the first, so that the two solenoids have the same cross-sectional area and mean radius. (a) What is the mutual inductance of the two solenoids? Assume that the magnetic field of the first solenoid is uniform across the cross section of the two solenoids. (b) If \(N_{1}\) = 500 turns, \(N_{2}\) = 300 turns, r = 10.0 cm, and A = 0.800 cm\(^2\), what is the value of the mutual inductance?
Questions & Answers
QUESTION:
A toroidal solenoid with mean radius r and cross-sectional area A is wound uniformly with \(N_{1}\) turns. A second toroidal solenoid with \(N_{2}\) turns is wound uniformly on top of the first, so that the two solenoids have the same cross-sectional area and mean radius. (a) What is the mutual inductance of the two solenoids? Assume that the magnetic field of the first solenoid is uniform across the cross section of the two solenoids. (b) If \(N_{1}\) = 500 turns, \(N_{2}\) = 300 turns, r = 10.0 cm, and A = 0.800 cm\(^2\), what is the value of the mutual inductance?
ANSWER:Solution 6E
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