Faraday cage in electrodynamics (with currents)

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Discussion Overview

The discussion revolves around the behavior of electric fields in a hollow wire carrying a current and net charge, specifically questioning the validity of the Faraday cage concept in dynamic conditions. Participants explore the implications of electrodynamics on the established principles of electrostatics.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions whether all charge resides on the outer surface of a hollow wire carrying a current, suggesting that the presence of a current may alter the electric field distribution inside the wire.
  • Another participant agrees that a small electric field exists inside a current-carrying conductor due to surface charges, indicating that the condition of electrostatic equilibrium does not apply.
  • A different participant posits that the electric field inside the hollow part of the wire is not zero, further challenging the traditional understanding of Faraday cages in dynamic scenarios.
  • Another participant provides examples of Faraday cages functioning under dynamic conditions, such as cars or airplanes during lightning strikes, questioning how these scenarios align with the principles discussed.

Areas of Agreement / Disagreement

Participants express disagreement regarding the behavior of electric fields in current-carrying conductors and the applicability of Faraday cage principles in non-electrostatic conditions. No consensus is reached on these points.

Contextual Notes

The discussion highlights limitations in applying electrostatic principles to dynamic situations, particularly regarding the assumptions of electric field behavior in conductors with currents.

greypilgrim
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Hi.

Assume a long hollow wire that both carries a nonzero net charge and a current. Is it still true that all charge sits on the outer surface of the cable and that the empty space inside is field-free (Faraday cage)? I know proofs of those facts in electrostatics using Gauss' theorem, but they rely on the fact that there's no electric field inside a conductor, which is not the case in general electrodynamics, for example when there's a current.
 
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greypilgrim said:
which is not the case in general electrodynamics, for example when there's a current.
Right. There's a small driving electric field inside a current carrying conductor because of surface charges.
greypilgrim said:
the fact that there's no electric field inside a conductor, w
This is true only in electrostatic equilibrium.
 
Yes
I think that that electric field won't be zero inside the wire ie the hollow part
 
Most examples and experiments of Faraday cages I know appear in dynamic conditions (i.e. with currents): The inside of a car or airplane struck by lightning is save, a radio or cellphone loses reception when wrapped with aluminium foil and so on. Why do they still work under non-electrostatic conditions?
 

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