Do charges distribute equally on inner and outer surfaces of a spherical shell?

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SUMMARY

The distribution of charge on a spherical shell is determined by the presence of other charges within the shell. For a net charge of +4.0 microcoulombs, if no charge is contained within the shell, all of the charge resides on the outer surface. This conclusion is supported by Gauss's law, which indicates that the charge distribution is not necessarily equal between the inner and outer surfaces, especially when considering varying radii of the shell.

PREREQUISITES
  • Understanding of Gauss's Law in electrostatics
  • Familiarity with concepts of electric charge distribution
  • Knowledge of spherical geometry and surface area calculations
  • Basic principles of electrostatics and charge behavior
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  • Study Gauss's Law and its applications in electrostatics
  • Explore the concept of electric field inside and outside charged conductors
  • Investigate charge distribution in non-uniform spherical shells
  • Learn about the implications of charge distribution on electric potential
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Students of physics, electrical engineers, and anyone interested in understanding electrostatic principles and charge distribution in spherical conductors.

kd001
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If a spherical shell has a net charge of say +4.0micro coulombs do I assume that this charge is equally distributed between the inner and outer surfaces of the shell (ie +2.0 micro coulombs on the inner surface and +2.0 micro coulombs on the outer surface)?

Thanks

*This is not homework. I'm trying to test my understanding.
 
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No- I can tell you this instantly by thinking about what would happen if you change the inner and outer radii of the shell- which you have unspecified- to extremes. If the inner radius is 0.1m and the outer one is 100m, does it make sense that half the charge is on the 4*pi area inner surface, and half is distributed on the 10,000*pi area outer surface? That certainly doesn't minimise repulsion!

I think the charge is stored on the outer edge- but I am not certain, some line of reasoning is telling me it is uniform but this doesn't seem very intuitive to me either.
 
kd001 said:
If a spherical shell has a net charge of say +4.0micro coulombs do I assume that this charge is equally distributed between the inner and outer surfaces of the shell (ie +2.0 micro coulombs on the inner surface and +2.0 micro coulombs on the outer surface)?
No. How the charge distributes itself depends upon whether there is charge contained within the shell. Consider Gauss's law with the gaussian surface through the material of the shell.

If there are no other charges, then all the charge will be on the outer surface.
 

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