Faraday cage in electrodynamics (with currents)

AI Thread Summary
In a long hollow wire carrying a current and net charge, the assumption that all charge resides on the outer surface and that the interior is field-free only holds true under electrostatic conditions. When current flows, a small electric field exists inside the conductor due to surface charges, contradicting the electrostatic principle. However, Faraday cages still function effectively in dynamic conditions, such as during lightning strikes or when shielding devices like radios, because the induced charges on the outer surface respond to external fields. This creates a protective barrier that prevents electric fields from penetrating the interior space. Therefore, while the principles of electrostatics provide a foundation, the behavior of conductors with currents must also be considered in practical applications.
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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