Why do charge carriers reside on the shell of a conductor?

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SUMMARY

Electrons in a conductor reside on the surface due to electrostatic repulsion. When electrons are placed in the center of a hollow conductor, they repel each other and move outward until they reach the surface. This phenomenon is a direct consequence of Coulomb's law, which states that like charges repel. The distribution of charge on the surface minimizes the potential energy of the system, resulting in a stable configuration.

PREREQUISITES
  • Coulomb's law
  • Electrostatics principles
  • Conductors and insulators
  • Basic understanding of electric fields
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Students of physics, electrical engineers, and anyone interested in understanding the behavior of charge carriers in conductive materials.

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can someone please provide me with a proof or even just an intuitive explanation
 
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because they repel each other

edit: consider placing a bunch of electrons together in the center of an empty sphere...what do you think would happen??
 
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