What is the Charge Distribution on Concentric Spherical Shells?

AI Thread Summary
The discussion focuses on calculating the charge distribution on two concentric conducting spherical shells using Gauss's Law. The inner shell has a net charge of -8 C, with a 2 C point charge inside, leading to a charge of -2 C on its inner surface and -6 C on its outer surface. The outer shell, being neutral, will have a charge of +6 C on its inner surface to balance the -6 C from the inner shell, resulting in a charge of 0 on its outer surface. The participants clarify the application of Gauss's Law to determine these charges accurately. Overall, the charge distribution is confirmed as -2 C and -6 C on the inner shell, and +6 C and 0 C on the outer shell.
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Homework Statement



You have two concentric conducting sherical shells. the net charge in the inner shell is -8 C and the outer shell is neutral. In the inner hollow is placed a 2C point charge. Using Gauss's Law, find the charge on all 4 surfaces of the shells.

Homework Equations



Econductor = 0

The Attempt at a Solution


Inner radius of inner shell: -2C
Outer radius of inner shell: -6C
Inner radius of outer shell: 0
Outer radius of outer shell: 0

Not sure how to use Gauss's law here, or if the answers for the outer shell are right.
 
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Try envisioning a Gaussian sphere that lies outside the inner radius of the inner sphere but inside the outer radius. Do the same for the outer sphere.
 
I think this means the inner shell answers are correct, but not the outer. Is the outer shell going to have a -8 charge on the inner radius and a positive 8 charge on the outer?
 
Not -8. Think about how much charge there is inside the outer shell.
 
Oh! There is -6C inside the outer shell. So 6C on the inner and -6 on the outer.
 
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