Electric field inside a void in a conductor?

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Discussion Overview

The discussion revolves around the electric field inside a void within a conductor, particularly examining the conditions under which the electric field is considered to be zero. Participants explore theoretical proofs and challenge the assumptions surrounding conductors and voids, including the implications of non-ideal conductors.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant asserts that the electric field inside a conductor and any voids is zero, citing available proofs for conductors but expressing uncertainty about voids.
  • Another participant challenges the assumption of a zero electric field, suggesting that no conductor is unconditionally perfect and that the zero field assumption may become less valid with advancements in nanotechnology.
  • A participant references Gauss's Law, stating that the electric field inside a spherical shell with charge is zero due to the absence of enclosed charge, but questions the applicability of this reasoning to non-spherical geometries.
  • There is a mention of superconductors, raising questions about their behavior in relation to electric fields and voids.

Areas of Agreement / Disagreement

Participants express differing views on the validity of the zero electric field assumption in conductors and voids, with no consensus reached on the implications of non-ideal conductors or the applicability of Gauss's Law in arbitrary geometries.

Contextual Notes

Participants highlight limitations in the assumptions regarding perfect conductors and the need for different approaches when dealing with non-spherical geometries.

Hassan2
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Hi everyone,

The field inside a conductor and also inside any voids in a said to be zero. I'm convinced with the available proofs for the field inside a conductor. However, I am not aware of any solid proof for the field inside a void in a conductor. Would you please share your knowledge on this topic?

Thanks.
 
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Hassan2 said:
Hi everyone,

The field inside a conductor and also inside any voids in a said to be zero. I'm convinced with the available proofs for the field inside a conductor. However, I am not aware of any solid proof for the field inside a void in a conductor. Would you please share your knowledge on this topic?

Thanks.

There's no such thing as an unconditionally perfect conductor. The zero field assumption is only approximate. It will be even more suspect when science furthers develops nanotechnology, rendering these approximations as a quaint symbol of the time when people didn't need to care about it.
 
If I have a spherical shell with plus q charge on it, the E field is zero inside because there is no enclosed charge so it is zero by Gauss's Law.
no perfect conductors, what about superconductors?
 
cragar said:
If I have a spherical shell with plus q charge on it, the E field is zero inside because there is no enclosed charge so it is zero by Gauss's Law.
no perfect conductors, what about superconductors?

That's based on the symmetry of the shell. For an arbitrary geometry we need another approach.
 

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