Charge on a cavity wall and Gauss' law

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Homework Help Overview

The discussion revolves around an isolated conductor with a net charge and a cavity containing a charged particle. Participants are exploring the implications of Gauss' law in determining the charge on the cavity wall and the outer surface of the conductor.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants express confusion regarding the charge on the cavity wall, questioning the assumption that the charge within a Gaussian surface is zero. Others suggest considering the total charge enclosed by a Gaussian surface that includes the cavity.

Discussion Status

The discussion is active, with participants sharing their interpretations of the problem. Some guidance has been offered regarding the relationship between the charge of the particle and the charge on the cavity wall, but there is no explicit consensus on the correct approach.

Contextual Notes

Participants are navigating the implications of Gauss' law and the behavior of charges in conductors, with specific attention to the charges involved in the cavity and the conductor's surface. There is an ongoing exploration of the assumptions related to charge distribution.

Jrlinton
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Homework Statement


An isolated conductor has a net charge of +14.0 × 10- 6 C and a cavity with a particle of charge q = +4.30 × 10-6 C. What is the charge (a) on the cavity wall and (b) on the outer surface?

Homework Equations

The Attempt at a Solution


So I understand that B is just adding the charge of the particle and conductor together
=1.8E-5C
I am lost on the solution to part A. I thought that the charge on or within the cavity wall of a gaussian shell was zero but that doesn't seem to be the answer they are looking for
 
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Jrlinton said:
I am lost on the solution to part A. I thought that the charge on or within the cavity wall of a gaussian shell was zero but that doesn't seem to be the answer they are looking for
Imagine a Gaussian surface within the conducting material that encloses the cavity. What's the total charge?
 
the net charge is zero so the charge on the wall is the negative of the particle charge within
 
Jrlinton said:
the net charge is zero so the charge on the wall is the negative of the particle charge within
Exactly.
 

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