Question
Asked Jun 20, 2019
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The figure shows a spherical shell with uniform volume charge density ρ = 2.09 nC/m3, inner radius a = 10.0 cm, and outer radius b = 2.1a. What is the magnitude of the electric field at radial distances (a) r = 0; (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = b, and (f) r = 3.00b?

 

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+ + + + + + + + 1 +++ +++ + ++ + + + + + + ++ h + + ++ Z

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Expert Answer

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

Step 2

Gauss’s law state that the flux of the net electric field through a closed surface equals the net charge enclosed by the surface divide by electric constant.

=
Eds=e net charge enclosed by the gaussian surface.
Where, q is the net charge enclosed by the gaussian surface.
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= Eds=e net charge enclosed by the gaussian surface. Where, q is the net charge enclosed by the gaussian surface.

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Step 3

Since the shell is hollow inside, it has no charge if the radius is less than a.  Volume charge density is 2.09 nC/m3, and the varies as the radius increase. T...

(rsa)
4T(3-a
q 2.09nC/m3
3
(b2ra)
4
q 2.09nC/m3nb
3
(r>b)
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(rsa) 4T(3-a q 2.09nC/m3 3 (b2ra) 4 q 2.09nC/m3nb 3 (r>b)

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Electric Charges and Fields

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