Superconductor ring: shielding currents in different directions

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SUMMARY

The discussion centers on the behavior of shielding currents in a superconductor ring, specifically addressing the directionality of the outer and inner wall currents in the presence of an applied magnetic field. The outer wall current is negative while the inner wall current is positive, indicating they flow in opposite directions. The confusion arises from the relationship between the shielding current and the magnetic field, clarified by the realization that the magnetic field is not continuous but rather a trapped field. This understanding resolves the initial misconceptions regarding the equations rotB = μ*j_s and the nature of the currents.

PREREQUISITES
  • Understanding of superconductivity principles
  • Familiarity with magnetic field concepts
  • Knowledge of current flow in superconductors
  • Basic grasp of Maxwell's equations
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  • Research the principles of superconductivity and Meissner effect
  • Study the implications of trapped magnetic fields in superconductors
  • Learn about the mathematical derivation of rotB = μ*j_s
  • Explore experimental setups for observing shielding currents in superconductors
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Physicists, electrical engineers, and researchers in superconductivity who are interested in the behavior of currents in superconducting materials and their interactions with magnetic fields.

annaphys
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In this photo you see on the right-hand side that the outer wall current is negative and the inner wall current is positive. That is, they are directed in different directions. But if the applied magnetic field is in the z direction as shown, then shouldn't they both be in the same direction do to the fact that j_s = -j = rotB? That is the shielding current goes in the opposite direction of the current caused by the magnetic field. Why is it so that the currents are in different directions?
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Another question, why is rotB=mu*j_s? Shouldn't j_s would against the magnetic field so it should that rotB= mu*j where j = -j_s?
 
Nevermind I understand it. My assumption from the beginning was wrong. There isn't a continuous homogeneous mag field in the photo just the trapped field.
 

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