Why Does Charge Only Distribute on the Outer Surface of a Conducting Shell?

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SUMMARY

The discussion centers on why excess charge on a conducting shell resides exclusively on the outer surface, as dictated by Gauss's Law. Participants emphasize that if charge were placed on the inner surface, the mutual repulsion among charged particles would create an outward force, pushing them to the outer surface. Furthermore, it is clarified that no electric field exists within the conducting shell, reinforcing that charge cannot remain on the inner surface. The consensus is that the outer surface is the only location for excess charge due to these physical principles.

PREREQUISITES
  • Understanding of Gauss's Law in electrostatics
  • Familiarity with electric fields and charge distribution
  • Basic knowledge of conducting materials and their properties
  • Concept of mutual repulsion among like charges
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  • Study the implications of Gauss's Law on charge distribution in conductors
  • Explore the behavior of electric fields within and around spherical charge distributions
  • Investigate the properties of conductors in electrostatic equilibrium
  • Learn about the effects of charge density on the surfaces of conductors
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Students of electromagnetism, physics educators, and anyone seeking a deeper understanding of electrostatic principles and charge distribution in conductors.

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It’s been a long time since I took E&M courses and even thought about these things, but a current thread has led me to question the location of excess charge on a conducting shell. Given that there are two surfaces to which charge can move, why doesn’t some charge also locate on the inner surface? Other than that it is on the outside, what makes the outer surface different from the inner surface as far as determining where charge locates?

I know from Gauss’s Law that the charge must be on the outer surface. I’m just looking for a physical/intuitive reason, hence the B prefix on this thread.
 
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Intuitive reason? Imagine that we were to place charged particles on the inner surface in such a way that there was a uniform charge density on the inner surface. The charged particles would all be repelling one another, so they would experience a net outwards force... And that pushes them to the outer surface.
 
Nugatory said:
Intuitive reason? Imagine that we were to place charged particles on the inner surface in such a way that there was a uniform charge density on the inner surface. The charged particles would all be repelling one another, so they would experience a net outwards force... And that pushes them to the outer surface.

Yes, so charge can't just be on inner surface. But couldn't we still consider charge on both the inner and outer surfaces such that the mutual repulsion was keeping them separated?
 
pixel said:
But couldn't we still consider charge on both the inner and outer surfaces such that the mutual repulsion was keeping them separated?
You won't get any repulsion unless there is a non-zero electrical field. All points on the interior surface are inside of the uniform spherical distribution of charge on the exterior surface. What is the electrical field inside of a uniform spherical charge distribution?
 

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