What is the Electric Potential at the Centre of a Charged Hollow Metal Sphere?

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SUMMARY

The electric potential at the center of a charged hollow metal sphere is equal to the potential on its surface, which is -V. This conclusion is derived from the principles of electrostatics, specifically that the electric field inside a conductor is zero and that the electric potential is constant throughout the conductor's interior. Gauss' Law confirms that the electric potential outside the sphere decreases with distance, but remains constant at -V within the sphere.

PREREQUISITES
  • Understanding of electrostatics principles
  • Familiarity with Gauss' Law
  • Knowledge of electric fields and potentials
  • Concept of spatial continuity in electric potential functions
NEXT STEPS
  • Study the implications of Gauss' Law in electrostatics
  • Explore the relationship between electric fields and electric potentials
  • Investigate the behavior of electric potential in conductors
  • Learn about the concept of equipotential surfaces
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in understanding electrostatics and the behavior of electric fields in conductors.

drixz
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Hi there,

confused with a question ... does anyone knows the solution or answer for the following question ?

"The electric potential at the centre of a hollow metal sphere, radius 2m, which has been charged to a potential -V. is : (a)-V (b)-2V (c)2V (d)0 (e)V"
 
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Consider these ideas/questions:

What is the electric field inside a conductor?
How does the electric field relate to the electric potential (voltage)?
The electric potential function obeys spatial continuity (no jumps).
What is the electric potential just outside the sphere (use Gauss' Law and symmetry).
 
oh yeah ... thanks for the clue :)
 

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