The figure shows the cross section of an infinitely long circular cylinder of radius 3a with an infinitely long cylindrical hole of radius a displaced so that its center is at a distance a from the center of the big cylinder. The solid part of the cylinder carries a current I, distributed uniformly over the cross section, and out from the plane of the paper. (a) Find the magnetic field (H) at all points on the plane P containing the axes of the cylinders. (b) Determine the magnetic field throughout the hole. 20

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 47P: A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed...
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The figure shows the cross section of an infinitely long
circular cylinder of radius 3a with an infinitely long cylindrical hole
of radius a displaced so that its center is at a distance a from the
center of the big cylinder. The solid part of the cylinder carries a
current I, distributed uniformly over the cross section, and out from
the plane of the paper.
(a) Find the magnetic field (H) at all points on the plane P containing
the axes of the cylinders.
(b) Determine the magnetic field throughout the hole.
20
Transcribed Image Text:The figure shows the cross section of an infinitely long circular cylinder of radius 3a with an infinitely long cylindrical hole of radius a displaced so that its center is at a distance a from the center of the big cylinder. The solid part of the cylinder carries a current I, distributed uniformly over the cross section, and out from the plane of the paper. (a) Find the magnetic field (H) at all points on the plane P containing the axes of the cylinders. (b) Determine the magnetic field throughout the hole. 20
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