Answered: coaxial cable (two nested cylinders) of…

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

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 12OQ: In which of the following contexts can Gausss law not be readily applied to find the electric field?...

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A coaxial cable (two nested cylinders) of length l, inner radius a and outer radius b. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder is charged to −Q.

Use Gauss’s Law to calculate the electric field E⃗ at r<a,a<r<b,andr>b.

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Case a<r<b :

your dA is πr^2 but when you rearrange for E your denominator is 2πε₀r^2

where did the 2 come from ?

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