R Area A Figure P31.6

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter38: Refraction And Images Formed By Refraction
Section: Chapter Questions
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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
Transcribed Image Text:R Area A Figure P31.6
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