Asked Feb 3, 2020
Consider two concentric insulating cylinders of infinite length. The inner
cylinder is solid with radius
R, while the outer cylinder is a hollow shell with inner radius a and outer radius b. Both cylinders have the same volume charge density of +ρ. Using Gauss’s Law, find the electric field as a function of r (where r= 0 at the central axis) in the interval a≤r < b.
Your final equation should be in terms of given parameters of ρ,a,b,R, and r.

Expert Answer

Step 1

Consider a Gaussian surface as a cylinder that have a radius of r, and the length l. Draw the diagram of the cylinder with the given parameters.

Physics homework question answer, step 1, image 1
Step 2

The charge enclosed by the Gaussian cylinder is,

Physics homework question answer, step 2, image 1
Step 3

Use Gauss’ law for the curved as well as fla...

Physics homework question answer, step 3, image 1

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Electric Charges and Fields

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