A tightly-wound toroidal solenoid has a central radius (the radius midway between the inner and outer radii of the toroid) equal to R, a cross-sectional radius equal to b, N turns, and carries a current of I. In the limit as R approaches infinity, the magnetic field strength inside the toroid becomes:

A tightly-wound toroidal solenoid has a central radius (the radius midway between the inner and outer radii of the toroid) equal to R, a cross-sectional radius equal to b, N turns, and carries a current of I. In the limit as R approaches infinity, the magnetic field strength inside the toroid becomes:

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 25P: A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in...

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Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

A tightly-wound toroidal solenoid has a central radius
(the radius midway between the inner and outer radii
of the toroid) equal to R, a cross-sectional radius equal
to b, N turns, and carries a current of I. In the limit as R
approaches infinity, the magnetic field strength inside
the toroid becomes:
undefined
equal to the magnetic field of an infinite solenoid with
radius b
equal to the magnetic field of an infinite solenoid with
radius R
zero

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