Faraday cage in electrodynamics (with currents)

In summary, the conversation discusses the presence of electric fields inside a hollow wire that carries both a net charge and a current. The group mentions that in electrostatics, all charge sits on the outer surface of the wire and the inside is field-free, but this may not be the case in general electrodynamics. They also mention that Faraday cages, which are commonly used to block electric fields, still work under non-electrostatic conditions.
  • #1
greypilgrim
515
36
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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  • #2
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.
 
  • #3
Yes
I think that that electric field won't be zero inside the wire ie the hollow part
 
  • #4
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?
 

1. What is a Faraday cage in electrodynamics?

A Faraday cage in electrodynamics is a conductive enclosure that is designed to block electromagnetic fields from entering or exiting the space within it. This is achieved by the principle of electromagnetic shielding, where the conductive material of the cage reflects and absorbs the electromagnetic waves, preventing them from passing through.

2. How does a Faraday cage work?

A Faraday cage works by creating a conductive enclosure that surrounds the space within it. When an external electromagnetic field comes into contact with the cage, the conductive material of the cage acts like a shield, reflecting and absorbing the electromagnetic waves. This prevents the waves from entering or exiting the space within the cage, effectively blocking any potential interference.

3. What are the applications of Faraday cages in electrodynamics?

Faraday cages have several applications in electrodynamics, including protecting sensitive electronic equipment from electromagnetic interference, preventing electronic eavesdropping, and providing a safe environment for experiments involving high voltage or sensitive equipment. They are also commonly used in medical settings to shield patients and equipment from electromagnetic interference caused by nearby electronic devices.

4. Can a Faraday cage block all types of electromagnetic waves?

No, a Faraday cage cannot block all types of electromagnetic waves. It is most effective at blocking low-frequency electromagnetic waves, but it may not be able to block high-frequency waves such as X-rays or gamma rays. The effectiveness of a Faraday cage also depends on the quality and thickness of the conductive material used.

5. How do you test the effectiveness of a Faraday cage in electrodynamics?

The effectiveness of a Faraday cage can be tested by using an electromagnetic field meter to measure the level of electromagnetic radiation inside and outside of the cage. The readings should be significantly lower inside the cage, indicating that the cage is effectively blocking the electromagnetic waves. Other methods include using a radio receiver to check for signal blocking and using a high voltage source to see if the cage can withstand and redirect the electric field.

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