Electric field inside a charged conductor placed in free space.

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SUMMARY

Under electrostatic conditions, excess charge on a conductor resides on its surface, resulting in a zero electric field inside the conductor, as established by Gauss's Law. In the case of a spherical metal shell with a hole, the electric field inside may not be exactly zero due to uneven charge distribution, particularly near the hole. For non-spherical conductors, charge density varies, leading to a non-uniform electric field. However, in a closed star-shaped hollow conductor, the electric field remains zero when charged.

PREREQUISITES
  • Understanding of Gauss's Law
  • Knowledge of electrostatic conditions
  • Familiarity with charge distribution in conductors
  • Concept of electric field and its properties
NEXT STEPS
  • Study Gauss's Law applications in electrostatics
  • Explore charge distribution in non-spherical conductors
  • Investigate electric fields in conductors with irregular shapes
  • Learn about the behavior of electric fields in hollow conductors
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electrostatics and the behavior of electric fields in conductors.

rohit dutta
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It is true that under ELECTROSTATIC CONDITIONS, excess charge on a conductor always resides on the surface of the conductor because if they were inside it, there would be an electric field inside the conductor which would set the free electrons into motion. They distribute uniformly over the surface thereby making the electric field inside the conductor zero( Consistent with Gauss's Law ).

Now, I take a spherical metal shell, which has a hole( considerable size ) on the surface and I spray some charge on it. Do you think the electric field inside the conductor will be zero?
 
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The charge is not necessarily distributed uniformly on the surface. If the conductor is not spherical, there's more charge density near sharp edges and corners of the surface. If you have a charged spherical cap (a sphere with a hole in it), there is a higher charge density around the hole than on other areas.

I don't think the electric field inside a charged spherical cap is exactly zero, but if the hole is small it would be very close to zero.
 
If I consider a star shaped hollow conductor( closed ) and I place some charge on it, the electric field inside the conductor would be zero( under electrostatic conditions ).
 

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