Plasma assumed as a perfect eletrical conductor?

In summary, the conversation discusses the assumption of ideal magnetohydrodynamics in a plasma surrounded by a tokamak wall. It is mentioned that in this assumption, the plasma is considered a perfect electrical conductor with no internal electrical resistivity. It is also assumed that the tokamak walls are perfectly conducting. The conversation then questions the need for boundary conditions, as it seems obvious that the electric field would be zero in a perfect conductor. The potential effect of external magnetic fields on the plasma is also mentioned.
  • #1
Silversonic
130
1
(Wasn't sure on the right section for plasma physics, I apologise if this is wrong).I'm reading up right now on a plasma surrounded by a tokamak wall, and the assumption of ideal magnetohydrodynamics - which assumes very little internal electrical resistivity and so the plasma can be assumed as a perfect electrical conductor.

http://en.wikipedia.org/wiki/Magnetohydrodynamics#Ideal_and_resistive_MHD

But aren't all electric fields inside a perfect conductor equal to zero? This seems to go without mention in both that wiki page and a number of textbooks I'm reading.

The tokamak walls themselves are assumed to be perfectly conducting too. From this, it's shown that the tangential component of the electrical field [itex] E_t [/itex] is continuous across the boundary and thus must also be zero.

But surely wouldn't this have been obvious? If the plasma is perfectly conducting then the electric field components are zero everywhere? Why would I need boundary conditions to show that?I'm at a bit of a loss. The only thing I can think of is that the plasma is under the effect of varies magnetic fields created by external coils, which creates a plasma current along with helical fields. Is [itex] E = 0 [/itex] for a perfect conductor under the assumption the conductor is under no external effects from outside sources?
 
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  • #2
The electric field inside a conductor will be zero if the charges are static.
 
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  • #3
There may be currents, but the electric charge distribution ##\rho## has to be static. Also magnetic field has to be static:
$$
\partial_t \mathbf B = -\nabla \times\mathbf E
$$
implies that time-dependent magnetic field will be accompanied by non-vanishing electric field.
 
  • #4
Jano L. said:
There may be currents, but the electric charge distribution ##\rho## has to be static. Also magnetic field has to be static:
$$
\partial_t \mathbf B = -\nabla \times\mathbf E
$$
implies that time-dependent magnetic field will be accompanied by non-vanishing electric field.

If there are currents than the charges are moving.
 
  • #5
Yes, but current does not necessarily mean charge distribution changes. In a perfect conductor (or superconductor), there may be current while electric field vanishes.
 

1. What is a perfect electrical conductor?

A perfect electrical conductor is a material that has zero electrical resistance, meaning that it allows for the free flow of electric current without any loss of energy.

2. How does plasma behave as a perfect electrical conductor?

Plasma, which is the fourth state of matter, behaves as a perfect electrical conductor when it is in a highly ionized state. This means that the electrons in the plasma are free to move, allowing for the flow of electric current without any resistance.

3. Can plasma be considered a perfect electrical conductor in all situations?

No, plasma cannot be considered a perfect electrical conductor in all situations. It is only in highly ionized states, such as those found in stars and lightning, that plasma behaves as a perfect electrical conductor. In other situations, it may have some resistance to electrical current.

4. What are some applications of plasma as a perfect electrical conductor?

Plasma as a perfect electrical conductor has many practical applications, such as in fusion reactors, where it is used to contain and control high-energy particles. It is also used in plasma TVs, particle accelerators, and in cutting and welding tools.

5. What are the challenges in utilizing plasma as a perfect electrical conductor?

One of the main challenges in utilizing plasma as a perfect electrical conductor is being able to maintain the high ionization state required for it to behave as such. This often requires the use of high temperatures and specialized equipment. Additionally, plasma can be unpredictable and difficult to control, making it challenging to use in certain applications.

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