Electric Potential and Electric Fields

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SUMMARY

The discussion centers on the concept of electric potential and electric fields in the context of a charged hollow conductor. It is established that the electric field inside a hollow conductor is zero, which directly leads to the conclusion that the electric potential (V) remains constant throughout the interior of the sphere. The relationship between electric field (E) and electric potential is highlighted through the equation ΔV = -∫E·dℓ, emphasizing that a zero electric field results in no change in potential.

PREREQUISITES
  • Understanding of electrostatics principles
  • Familiarity with electric fields and potentials
  • Knowledge of conductors and their properties
  • Basic calculus for interpreting integrals
NEXT STEPS
  • Study the properties of conductors in electrostatics
  • Learn about the mathematical derivation of electric potential from electric fields
  • Explore the implications of Gauss's Law in electrostatics
  • Investigate the behavior of electric fields in non-conductive materials
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of electrostatics, particularly in relation to conductors and electric fields.

IKonquer
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Lets say you have a hollow sphere, which is a conductor, and you put some charge on it. I understand why the electric field inside the sphere is 0, but I don't see why the electric potential V is constant.

Could someone explain?

Thanks
 
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[tex]\Delta V=-\vec{E}\cdot d\vec{\ell}[/tex]
 

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