Meissner effect and conservation of momentum in magnetic levitation

In summary, the Meissner effect prevents external magnetic fields from accelerating a superconductor. If there is no net magnetic force on the superconductor, the change in momentum of a magnet must be balanced by a change in linear momentum.
  • #1
JesseM
Science Advisor
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I was recently reading about the Meissner effect, in which certain superconductors are able to "exclude" any external magnetic field lines from their interior, as seen in the right half of this diagram:

meissner.jpg


I understand that some superconductors exhibit a sort of imperfect Meissner effect in which some field lines do pass through localized "flux tubes" in the material of the superconductor, an effect known as flux pinning, but in the case of a superconductor that exhibits a perfect Meissner effect, does this imply that there is never a net magnetic force on the superconductor, so no external magnetic field will cause it to accelerate in any direction?

If the answer to that last question is "yes", then I'm wondering how conservation of momentum is ensured in examples of magnetic levitation involving such a superconductor. As described on this page:

Magnetic fields are actively excluded from superconductors (Meissner effect). If a small magnet is brought near a superconductor, it will be repelled becaused induced supercurrents will produce mirror images of each pole. If a small permanent magnet is placed above a superconductor, it can be levitated by this repulsive force.

This would seem to imply that if you place a permanent magnet next to this type of superconductor in zero gravity, the permanent magnet will accelerate away from it, gaining momentum in that direction. But if there's no net magnetic force on the superconductor, this can't be balanced out by it being accelerated in the opposite direction, can it? If not, I imagine the change in momentum of the permanent magnet must be balanced by a change in linear momentum carried by the electromagnetic field (either in EM waves or in some other form)--is this conclusion correct or is there some error in my understanding?
 
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  • #2
While the magnetic field is expelled from the interiour of the superconductor, there is a thin layer at the surface of the SC where the magnetic field penetrates and falls off exponentially. It is there where all the forces are excerted.
 
  • #3
Ah, that makes more sense. Thanks!
 

1. What is the Meissner effect?

The Meissner effect, also known as complete diamagnetism, is the phenomenon in which a material exhibits zero resistance to an applied magnetic field and expels the magnetic field from its interior. This effect is observed in superconductors, materials that can conduct electricity with zero resistance at extremely low temperatures.

2. How does the Meissner effect contribute to magnetic levitation?

In magnetic levitation, the Meissner effect allows for the suspension and movement of objects above a magnet. When a superconductor is placed above a magnet, it expels the magnetic field from its interior, creating a repulsive force that balances the force of gravity on the object. This allows the object to levitate above the magnet without any physical contact.

3. What is the relationship between the Meissner effect and the conservation of momentum?

The Meissner effect is closely related to the conservation of momentum, which states that the total momentum of a closed system remains constant. In magnetic levitation, the repulsive force created by the Meissner effect balances the force of gravity on the object, resulting in a constant momentum of the system as the object moves above the magnet.

4. Can the Meissner effect be observed in everyday objects?

No, the Meissner effect is only observed in superconductors, which require extremely low temperatures to exhibit this behavior. However, researchers are working on developing high-temperature superconductors that can exhibit the Meissner effect at more practical temperatures.

5. What are some real-world applications of the Meissner effect and magnetic levitation?

Magnetic levitation technology has the potential to revolutionize transportation, as it can greatly reduce friction and energy consumption in high-speed trains and maglev trains. It also has applications in medical research, such as levitating and moving tiny objects in a controlled environment, and in energy storage, as superconductors can store energy without any loss due to resistance.

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