What is the Charge Distribution on Concentric Spherical Shells?

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Homework Help Overview

The discussion revolves around the charge distribution on two concentric conducting spherical shells, where the inner shell has a net charge of -8 C and contains a 2 C point charge, while the outer shell is initially neutral. Participants are exploring the implications of Gauss's Law in determining the charge on the surfaces of both shells.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the application of Gauss's Law and consider the charge distribution on the inner and outer shells. There are attempts to visualize Gaussian surfaces to aid in understanding the charge interactions.

Discussion Status

Some participants have offered insights into the charge distribution on the inner shell, while there is ongoing uncertainty regarding the outer shell's charge. Multiple interpretations of the charge on the outer shell are being explored, indicating a productive dialogue without a clear consensus yet.

Contextual Notes

Participants are grappling with the implications of the charges present and the effects of the point charge within the inner shell, which may influence their understanding of the outer shell's charge distribution.

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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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