Shown on the right is the cross-section of an infinitely long cable extending in the z-direction that has a radius R and uniform current density j (current per cross-sectional area) that flows in the negative z-direction, but with a portion of it being carved out. The carved-out portion forms an infinitely long cylindrical hollow whose radius is R/2 as shown in the figure. (a) Find the magnetic field, both magnitude and direction, at point A. R B (b) Find the magnetic field, both magnitude and direction, at point B.

Shown on the right is the cross-section of an infinitely long cable extending in the z-direction that has a radius R and uniform current density j (current per cross-sectional area) that flows in the negative z-direction, but with a portion of it being carved out. The carved-out portion forms an infinitely long cylindrical hollow whose radius is R/2 as shown in the figure. (a) Find the magnetic field, both magnitude and direction, at point A. R B (b) Find the magnetic field, both magnitude and direction, at point B.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Shown on the right is the cross-section of an infinitely long cable extending
in the z-direction that has a radius R and uniform current density J
(current per cross-sectional area) that flows in the negative z-direction,
but with a portion of it being carved out. The carved-out portion forms
an infinitely long cylindrical hollow whose radius is R/2 as shown in the
figure.
R/2
(a) Find the magnetic field, both magnitude and direction, at point A.
R B
(b) Find the magnetic field, both magnitude and direction, at point B.

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