University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 21CQ: What is wrong with the following expressions? How can you correct them? (a) C=AB , (b) C=AB , (c)...
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Question
A toroid has a major radius R and a minor radius r and is tightly wound with N turns of wire on a hollow cardboard torus. as shown half of this toroid, allowing us to see its cross section. If R >> r, the magnetic field in the region enclosed by the wire is essentially the same as the magnetic field of a solenoid that has been bent into a large circle of radius R. Modeling the field as the uniform field of a long solenoid, show that the inductance of such a toroid is approximately
L ≈ 1/2 μ0N2r2/R
![R
Area
A
Figure P31.6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa1281ed7-1a86-41e7-8a60-7b51302d4d48%2F694dea1b-5dc9-414a-967e-8bfc3aba0f8f%2Fabesa5d.png&w=3840&q=75)
Transcribed Image Text:R
Area
A
Figure P31.6
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