The figure below shows a cylindrical conductive shell carrying current I to the right. The current density (non-uniform) in the conductor is given by J=c(r−R1) for the region R1

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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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The figure below shows a cylindrical conductive shell carrying current I to the right. The current density (non-uniform) in the conductor is given by J=c(r−R1) for the region R1<r<R2, where c is a constant. What is the magnitude of the magnetic field at a radial distance rA inside the conductor.

I
TB
R1
TA
R2
Transcribed Image Text:I TB R1 TA R2
Expert Solution
Step 1: Ampere's Law

Ampere's Law says that for a closed loop, Line integral of Magnetic field around the current carrying wire is proportional to the current enclosed by the loop. It relates magnetism with electricity. It is a simpler alternative to biot-savart law. It is can be shown mathematically as,

B.dl = μo Ienc

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