Why does the charge uniformly distributed on the surface of the sphere only?

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SUMMARY

A solid conducting sphere with a positive charge Q exhibits a uniform charge distribution exclusively on its surface due to the principle that the electric field inside a conductor must be zero. When the sphere is charged, free electrons within the conductor move to the surface, neutralizing any internal electric fields. This results in a stable configuration where charges are evenly distributed on the surface, preventing any charge from residing within the sphere itself.

PREREQUISITES
  • Understanding of electrostatics principles
  • Familiarity with conductors and insulators
  • Knowledge of electric fields and their properties
  • Basic concepts of charge distribution
NEXT STEPS
  • Study Gauss's Law and its application to spherical conductors
  • Explore the behavior of electric fields in conductors versus insulators
  • Investigate the concept of equipotential surfaces in electrostatics
  • Learn about the implications of charge distribution on the surface of conductors
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Students of physics, electrical engineers, and anyone interested in understanding electrostatics and the behavior of charges in conductive materials.

cdymdcool
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1. A solid conducting sphere is given a positive charge Q. Why is the charge uniformly distributed on the surface of the sphere only?



Homework Equations





3. I know there are electron clous where electrons hang out, but what happen when the sphere is given a positive charge? I don't think protons comes to the surface or anything like that...
 
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cdymdcool said:
1. A solid conducting sphere is given a positive charge Q. Why is the charge uniformly distributed on the surface of the sphere only?

Homework Equations


3. I know there are electron clous where electrons hang out, but what happen when the sphere is given a positive charge? I don't think protons comes to the surface or anything like that...

The electric field inside a conductor must be zero, so there can be no charge inside the sphere. The remaining charges array themselves on the surface until there is no field inside the sphere, and the only way that can work is if they are concentrated uniformly on that surface.
 
But why aren't the charges uniformly distributed throughout the sphere?
 

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