Field in a superconducting torus

[x_engineer]

A question:-

Is it possible to create a magnetic field inside a perfectly superconducting torus if you did not have any to start with? I am talking about a field that goes all the way around the torus, not one that goes partway and doubles back. I am having trouble visualizing how the field lines pass through the central superconducting post in the evolution of the magnetic field.

Also, what is the highest field one can maintain practically inside a superconducting coil?

 

[Drakkith]

Are you referring to the toroidal field as pictured here: http://upload.wikimedia.org/wikipedia/commons/4/4b/Tokamak_fields_lg.png

If so, then it's simply that the magnets have an electric current started in them. This current creates a magnetic field all the way around because of the arrangement of the magnets.

 

[Born2bwire]

I would say no due to your stipulation that the torus did not have any initial field. A superconducting ring must always keep it's flux constant by virtue of Faraday's Law. That is, the line integral of the electric field around the ring, which must be zero for a superconductor due to it's infinite conductivity when in operation, is equal to the time differential of the trapped flux in the ring. Since the line integral of the electric field is zero, the trapped flux must remain constant while the superconductor is operating.

We can imagine a torus to be a continuum of superconducting rings. Since you state that there is no initial field when we turn on the superconductors then there must continue to be zero flux through the torus when in operation.

Now one that doubles back, I could see that arising because then you could have a field where the net flux is still zero (since the field goes in and out of each ring). How one would excite such a field AFTER the torus has been activated I know not, but I can see that it could be physically possible to support such a field.

 

[x_engineer]

Drakith: Yes, I am talking about the toroidal field in that diagram.

Born2bwire: What happens if the toroidal sheet is a superconducting coil instead? As you attempt to increase the field does the flux work its way around the spiral gap, and does that effect place limits on how fast you can increase the magnetic field? Would a poloidal coil very close to the toroidal coil therefore be able to detect the change in the toroidal field?

I suppose in a Type II superconductor the presence of a voltage on the coil would allow the flux to directly cross the superconducting wires and enter the toroidal space, and a poloidal coil would not detect any change in the toroidal field. Is that true?

 

[PJC01]

It is possible to create a magnetic field inside a perfectly superconducting torus even if there was no initial field present. This is due to the phenomenon of magnetic flux trapping, where the superconducting material can "trap" magnetic flux lines and maintain a persistent current without any external source. This allows for a continuous and uniform magnetic field to be created within the torus, as long as the superconducting material remains in its superconducting state.

Regarding your question about the field lines passing through the central superconducting post, it is important to note that the superconducting material is able to conduct electricity without any resistance, so the field lines can easily pass through the post without any hindrance.

In terms of the highest field that can be maintained inside a superconducting coil, it depends on various factors such as the type of superconducting material used, the cooling system, and the design of the coil. However, in general, superconducting coils have been able to achieve magnetic fields of up to 45 tesla, which is significantly higher than what can be achieved with traditional coils. However, there are ongoing research and developments in the field of superconductivity that may lead to even higher magnetic fields in the future.