Current density at the surface of a magnetised material

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SUMMARY

The discussion focuses on deriving the expression for the current density per unit length at the surface of a magnetized material. The key concept is the density of bound current, which is related to the magnetization of the material. The surface current density, denoted as \(\vec{K}\), is defined by the equation \(K = \vec{M} \times \vec{n}\), where \(\vec{M}\) is the magnetization vector and \(\vec{n}\) is the unit normal to the surface. The application of Ohm's law is deemed inappropriate in this context.

PREREQUISITES
  • Understanding of magnetization in materials
  • Familiarity with surface current density concepts
  • Knowledge of vector cross products
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the relationship between magnetization and bound current density
  • Explore the derivation of surface current density equations
  • Learn about the physical interpretation of current loops in magnetized materials
  • Investigate applications of surface current density in electromagnetic theory
USEFUL FOR

Students of electromagnetism, physicists studying magnetic materials, and engineers working with magnetized systems will benefit from this discussion.

dave4000
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Homework Statement



Write down an expression for the current density per unit length flowing at the surface of a magnetised material.

The Attempt at a Solution



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Any ideas?
 
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E is the electric field, but there's no electric field in this problem, so that equation can't apply, can it?

It sounds to me like the problem is talking about the density of bound current. There's a simple expression for that in terms of the magnetization... you can look it up, or if you think about it you can probably come up with the relation on your own. (It might help to imagine each atom of the magnetized material as a tiny little current loop)
 
You've written down Ohm's law which isn't the right equation to use. I think you're looking for \vec{K}, the surface current density, K is the current per unit width perpendicular to the flow?
 
Sorted! Its I=M X n
 

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