Suppose you wish to produce a 2-T magnetic field in a toroid with an iron core for which magnetic susceptibility is x = 4.5 x 10°. The toroid has a mean radius of 18 cm and is wound with 400 turns.
Suppose you wish to produce a 2-T magnetic field in a toroid with an iron core for which magnetic susceptibility is x = 4.5 x 10°. The toroid has a mean radius of 18 cm and is wound with 400 turns.
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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Part a and b the last one question
Transcribed Image Text:Suppose you wish to produce a 2-T magnetic field in a toroid with an iron core for which magnetic
susceptibility is x = 4.5 x 10°. The toroid has a mean radius of 18 cm and is wound with 400 turns.
Hint
Review Section 12.7 Magnetism in Matter for the description of magnetic susceptibility (x) and how it
modifies the magnetic field formulas in terms of magnetic permeability (u).
a. What current is required to produce this magnetic field in the iron core?
Current of
A is needed.
b. For comparison, what current is required to produce the same magnetic field in an air-filled toroid of
same geometry?
Current of
A is needed for toroid with no iron core.
While it is not always practical to have region of magnetic field filled with ferromagnetic materials, this
dramatic increase in strength of magnetic field produced is useful in some applications you will see in
upcoming chapters.
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