Problem 5.18 Show that the magnetic field of an infinite solenoid runs parallel to the axis, regardless of the cross-sectional shape of the coil, as long as that shape is constant along the length of the solenoid. What is the magnitude of the field, inside and outside of such a coil? Show that the toroid field (Eq. 5.60) reduces to the solenoid field, when the radius of the donut is so large that a segment can be considered essentially straight.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 24P: A current loop with magnetic dipole moment is placed in a uniform magnetic field , with its moment...
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Problem 5.18 Show that the magnetic field of an infinite solenoid runs parallel to
the axis, regardless of the cross-sectional shape of the coil, as long as that shape
is constant along the length of the solenoid. What is the magnitude of the field,
inside and outside of such a coil? Show that the toroid field (Eq. 5.60) reduces to
the solenoid field, when the radius of the donut is so large that a segment can be
considered essentially straight.
Transcribed Image Text:Problem 5.18 Show that the magnetic field of an infinite solenoid runs parallel to the axis, regardless of the cross-sectional shape of the coil, as long as that shape is constant along the length of the solenoid. What is the magnitude of the field, inside and outside of such a coil? Show that the toroid field (Eq. 5.60) reduces to the solenoid field, when the radius of the donut is so large that a segment can be considered essentially straight.
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