If ia charge is placed inside a conductor, is the electric field inside zero?

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SUMMARY

If a charge is placed inside a conductor or a cavity within a metal shell, the electric field inside the conductor or shell is zero. This phenomenon occurs because free electrons in the conductor rearrange themselves to cancel the electric field. According to Gauss's law, while the electric field inside the conductor is zero, there is an electric field outside the conductor due to induced charges on the surface. The metal shell acts as a Faraday cage, ensuring that the electric field within its interior remains null.

PREREQUISITES
  • Understanding of Gauss's law
  • Knowledge of electric fields and conductors
  • Familiarity with the concept of a Faraday cage
  • Basic principles of electrostatics
NEXT STEPS
  • Study the implications of Gauss's law in electrostatics
  • Explore the behavior of electric fields in different conductor configurations
  • Investigate the applications of Faraday cages in practical scenarios
  • Learn about induced charges and their effects on surrounding electric fields
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Students of physics, electrical engineers, and anyone interested in understanding electrostatics and the behavior of electric fields in conductors.

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If a charge q was placed inside a cavity inside a metal shell, then inside this shell would there be any electric field??

And since Gauss law says that this metal surface would have an induced charge then a point within the regoin between the cavity and the outer surface of this shell thn would there be any value for electric field at that point?
 
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There will be no electric field within the conducting materials but there will be an electric field in the void and external to the conductors. The reason for zero field within the conducting material is that, statically, it would have led to an infinite amount of charge build up due to current flow.
 


If a charge is placed inside a conductor, the electric field inside the conductor will be zero. This is because the free electrons in the conductor will rearrange themselves in such a way that the electric field inside the conductor is cancelled out.

If a charge q is placed inside a cavity inside a metal shell, the electric field inside the shell will also be zero. This is because the metal shell acts as a Faraday cage, where the charges on the outer surface of the shell will redistribute themselves in such a way that the electric field inside the shell is cancelled out.

According to Gauss's law, the induced charge on the metal surface will create an electric field outside the cavity, between the cavity and the outer surface of the shell. However, at the point between the cavity and the outer surface, the electric field will be zero. This is because the electric field from the induced charge on the metal surface cancels out the electric field from the charge inside the cavity.

In summary, if a charge is placed inside a conductor or inside a cavity inside a metal shell, the electric field inside the conductor or shell will be zero. However, there may be an electric field outside the conductor or shell due to the induced charges on the surface.
 

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