Magnetic Fields & Loops of Current: Explained

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SUMMARY

The discussion centers on the relationship between magnetic fields and surface currents, as articulated in a professor's notes. It states that a discrepancy in the magnetic field's parallel direction across a boundary results in the creation of a surface current. Additionally, it emphasizes that all magnetic fields originate from loops of current, referencing Maxwell's equations, particularly the divergence of the magnetic field being zero, indicating the absence of magnetic sources or sinks.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Knowledge of magnetic fields and their properties
  • Familiarity with surface currents and their implications
  • Basic grasp of vector calculus, specifically divergence
NEXT STEPS
  • Study the derivation of the tangential component of the magnetic field (H) as outlined in the provided PDF link
  • Explore the implications of Maxwell's equations on electromagnetic theory
  • Investigate the concept of surface currents in different materials
  • Learn about the physical significance of magnetic field divergence and its applications
USEFUL FOR

Students of electromagnetism, physics educators, and anyone seeking to deepen their understanding of magnetic fields and their relation to current loops.

fricke
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**Not a homework question.

In my professor note, it says that:
"If a material causes magnetic field (in parallel direction to the surface charge) below a boundary is not the same as the boundary (in parallel direction to the surface charge) above the boundary, then a surface current is created".

and also:
"all magnetic fields are created by loops of current".

Could someone please explain what do these two statements mean? thank you.
 
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fricke said:
**Not a homework question.

In my professor note, it says that:
"If a material causes magnetic field (in parallel direction to the surface charge) below a boundary is not the same as the boundary (in parallel direction to the surface charge) above the boundary, then a surface current is created".

and also:
"all magnetic fields are created by loops of current".

Could someone please explain what do these two statements mean? thank you.

Since you did not elaborate on the level you are at with this class, I can only give you a link on what I HOPE that you are able to comprehend. Look at the derivation leading up to the conclusion at the bottom of Page 4-7 on the tangential component of H.

http://local.eleceng.uct.ac.za/courses/EEE3055F/lecture_notes/2011_old/eee3055f_Ch4_2up.pdf

The answer to your last question is from one of Maxwell equations, i.e. the divergence of a magnetic field is zero (i.e. no magnetic source or sinks). Again, without knowing at what level you are at, I have no idea if you even know the concept of "divergence" or understand the physics behind Maxwell equations.

Zz.
 
Last edited by a moderator:
thank you very much for the reply and PDF link!
 

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