Direction of magnetic field inside infinite slab

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SUMMARY

The direction of the magnetic field inside an infinite slab with a current density J directed in the positive x-direction is determined by applying Ampere's Law. Outside the slab, the magnetic field points to the left above the slab and to the right below it. Inside the slab, the magnetic field does not cancel out; instead, it is uniform and directed perpendicular to the current density, following the right-hand rule. This understanding is crucial for analyzing magnetic fields in conductive materials.

PREREQUISITES
  • Understanding of Ampere's Law
  • Familiarity with the right-hand rule for magnetic fields
  • Basic knowledge of current density and its implications
  • Concept of magnetic field lines in conductive materials
NEXT STEPS
  • Study the application of Ampere's Law in different geometries
  • Explore the right-hand rule in various current configurations
  • Investigate the effects of varying current densities on magnetic fields
  • Learn about the magnetic field inside different conductive materials
USEFUL FOR

Physics students, electrical engineers, and anyone interested in electromagnetism and the behavior of magnetic fields in conductive slabs.

Aziza
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Suppose we have a thick slab with a current density J pointing strictly in x direction...see below link for figure:

http://teacher.pas.rochester.edu/PHY217/LectureNotes/Chapter5/LectureNotesChapter5056.jpg

what is direction of magnetic field inside?


It is easy for me to see that outside, above the slab, it points to the left, and below it, the field points to the right. I get this by visualizing the J as a bunch of current carrying wires all carrying current in +x direction. But using this idea, I think that insidem the field should cancel, although I know that Ampere's law clearly says that there must be a field since there is a net current enclosed...

If someone could walk me through understanding the direction of the field inside, I would really appreciate it!
 
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