Charge on inside of holey conducting shell

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SUMMARY

The discussion centers on the implications of Gauss's law regarding charge distribution on a charged spherical conducting shell with holes. It is established that there is no charge on the inside surface of a conductor unless there is charge present in the cavity. John emphasizes that even with numerous holes, the principle remains unchanged, as the charge distribution is influenced by the overall configuration of the conductor. The scenario of a sparse shell with widely separated blobs raises questions about charge distribution, but the fundamental rule of charge neutrality on the inner surface holds true.

PREREQUISITES
  • Understanding of Gauss's Law in electrostatics
  • Knowledge of charge distribution in conductors
  • Familiarity with spherical symmetry in electric fields
  • Concept of cavity charge in conductors
NEXT STEPS
  • Study the implications of Gauss's Law in various geometries
  • Explore charge distribution in conductors with irregular shapes
  • Investigate the effects of connecting conductors with thin wires
  • Learn about the behavior of electric fields in non-uniform charge distributions
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Students of physics, electrical engineers, and anyone interested in electrostatics and charge distribution principles in conductors.

johne1618
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Consider a charged spherical conducting shell.

I understand that Gauss's law implies that there is no charge on the inside surface of the conducting shell.

Now consider a charged spherical conducting shell with lots of holes cut uniformly all over it.

Would Gauss's law still imply that there is no charge on the inside surface of such a conducting shell?

John
 
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There is no charge on any inside surface of a conductor unless there is charge in the cavity.
 
Meir Achuz said:
There is no charge on any inside surface of a conductor unless there is charge in the cavity.

What happens if the conducting spherical shell has so many holes in it that it becomes a very sparse shell of widely separated blobs of conductor connected by thin wires (somewhat like stars on a "celestial sphere")?

Surely there would be some charge over the entire surface of each blob including the surface facing inwards?
 

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