Current flow on the surface of a permeability bigger than 1

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SUMMARY

The discussion centers on the behavior of a spherical shell with magnetic permeability greater than 1 surrounding a spherical perfect conductor. The key point is the assumption that the surface current on the shell's surface (radius b) is zero, which is a boundary condition for solving the magnetic field problem. This assumption leads to the conclusion that the material cannot be a perfect conductor, as perfect conductors would not allow for any surface current. The inquiry also raises questions about the nature of static problems and the conditions under which surface currents can exist.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically Maxwell's equations.
  • Familiarity with boundary conditions in electromagnetic problems.
  • Knowledge of material properties, particularly magnetic permeability.
  • Concept of perfect conductors and their electrical properties.
NEXT STEPS
  • Study the implications of boundary conditions in electromagnetic field theory.
  • Research the properties of materials with magnetic permeability greater than 1.
  • Examine the differences between perfect conductors and materials with finite conductivity.
  • Learn about static magnetic fields and the conditions under which surface currents can exist.
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetic theory, particularly those interested in material properties and boundary conditions in static magnetic fields.

gau55
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Hi,
Quick description of the problem at hand: spherical perfect conductor around the origin with radius a, spherical shell (with radius b) around it made of a material with given magnetic permeability bigger than 1. Uniform Magnetic field in the area. The solution I am looking at (which I won't post as it isn't in english) uses the fact that the surface current on r=b, that is on the surface of the shell with permeability bigger than 1, is zero, as one of the boundary conditions for the solution. My question is why can we assume this ? why can there be no surface current on a material such as this ? Can we conclude definitively that it is not a perfect conductor ? if so we can say it either has finite conductivity or no conductivity, in both cases there can't be any surface current, but I couldn't justify the claim that this material is definitely not a perfect conductor. Am I even thinking in the right direction ?
thanks !
 
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Why should there be any current in a static problem?
 

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