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Are real life superconductors ideal, i.e. they truly would store a charge forever (at least until the material disintegrated)? Or is there some sort of loss, albeit much less than typical resistance?



So long as you do not exceed a certain current, they have zero resistance. There are other forms of parasitics though that can effect it.

Those crazy electromagnets they use on these stellarator are simple superconducting loops that they 'charge' by inducing a current. That current is maintained so long as the superconductor stays below a certain temp. There is even something called a SMES (superconducting magnetic energy storage) that stores power this way, as I understand it they have a 0% self discharge rate.


Is the charge static or in motion? If in motion, isn't this basically a perpetual motion machine? Electrons have mass right?


In motion. Yes it is perpetual motion. The same thing can be observed in superfluids.


It is my understanding that electrons on a curved trajectory will lose energy to electromagnetic radiation. Is that not the with electrons in a superconductor?


If you have a single free electron, and move it on a curved trajectory, you’ll see electromagnetic radiation.

If you have a hypothetical continuum of charges moving in a circle, and you use Maxwell’s equations, you’ll find that given a constant charge density, no EM radiation will be emitted.

If you have a superconductor, you should really be using quantum mechanics to understand it. If you can imagine that an electron can “orbit” a nucleus without emitting EM radiation, then you can imagine that current can flow in a loop without emitting EM radiation. The behavior cannot be explained by thinking of the behavior of a single electron, but must be explained by considering the behavior of many electrons in a quantum mechanical system.

Also note that the actual speed of electrons (the “drift velocity”) moving around a loop of wire is extremely low, so if you treat electrons as point charges and ignore quantum mechanics, and you calculate the amount of EM radiation that should be emitted by a typical loop of wire, you will get an extremely low amount EM radiation emitted, which would be very difficult to measure.


Brilliant, thank you


That is my understanding also. I would very much like an expert answer on this one !


1. Something “in a superconducting state” has zero resistance, but the transition to superconducting states is not sudden, and there are various things which disrupt that state like magnetic fields.

2. Alternating currents will dissipate even with zero resistance, because the circuit will emit EM waves.


Ladder lines are balanced transmission lines, so they do not emit EM radiation.


Wouldn’t that require kind of an idealized transmission line, not just a superconducting one?


Yes. I don't think super conduncting ressonators of any design are perfect.




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