Electric Field in Cavity of Conductor: Explained

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SUMMARY

The electric field inside an empty cavity of a conductor is zero, regardless of external charges, as established by Gauss' Law. When a charge is placed inside the cavity, it induces a surface charge on the conductor, but the electric field outside the conductor remains unaffected. This conclusion holds true for conductors of arbitrary shape and size, confirming the shielding effect of conductors in electrostatics.

PREREQUISITES
  • Understanding of Gauss' Law
  • Basic concepts of electrostatics
  • Familiarity with conductors and insulators
  • Knowledge of electric fields and charge distribution
NEXT STEPS
  • Study Gauss' Law applications in electrostatics
  • Explore the concept of electric shielding in conductors
  • Investigate the behavior of electric fields in non-uniform charge distributions
  • Learn about the implications of electrostatic equilibrium in conductors
USEFUL FOR

Students of physics, particularly those studying electrostatics, educators teaching concepts of electric fields, and anyone interested in the properties of conductors in electric fields.

shinobi12
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Homework Statement


Show the electric field inside an empty cavity in a conductor is zero, even if there is a charge outside the conductor. If a charge is placed inside the cavity, will there be an electric field outside the conductor. Explain Clearly. Assume that both the conductor and cavity are arbitrary of both shape and size


Homework Equations





The Attempt at a Solution

 
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Hi shinobi, :smile:

As per PF rules, you are required to show some attempt at the problem before we help you.

Hint: Think Gauss' Law:wink:
 

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