What is the magnetic field inside a cylinder?

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SUMMARY

The magnetic field inside a uniformly magnetized cylinder is uniform and does not depend on the angle due to the symmetry of the system. The axis of the cylinder is perpendicular to the magnetization vector (M). The bound surface current density can be determined, but it is essential to recognize that the magnetic field remains consistent throughout the interior of the cylinder. Smyrhe's classic text provides a comprehensive solution to this problem.

PREREQUISITES
  • Understanding of magnetization and magnetic fields
  • Familiarity with bound surface current density concepts
  • Knowledge of symmetry in physical systems
  • Basic principles of electromagnetism
NEXT STEPS
  • Study Smyrhe's text on magnetization and magnetic fields
  • Explore the derivation of bound surface current density in cylindrical geometries
  • Learn about the implications of symmetry in electromagnetic problems
  • Investigate other geometries and their magnetic field characteristics
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Physics students, researchers in electromagnetism, and anyone interested in the properties of magnetic fields in cylindrical systems.

Jefferson Yun
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The axis of the cylinder is perpendicular(not parallel) to M, magnetization. It's not hard to find bound surface current density, but it depends on the angle while the answer says the magnetic field is uniform inside the cylinder.
Anyone can silve this problem??
 
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It can't depend on angle, due to symmetry. Smyrhe solves this problem exactly in his classic text.
 

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