What is the Magnetic Field of a Cylindrical Shell with Constant Magnetization?

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SUMMARY

The discussion focuses on calculating the magnetic field of a cylindrical shell with constant magnetization. The shell has an outer radius R2 and an inner radius R1, with a height L. Two scenarios are presented: one where the magnetization is directed along the z-axis and another where it is directed along the phi-axis. Participants are encouraged to demonstrate their efforts in solving these problems before seeking assistance.

PREREQUISITES
  • Understanding of cylindrical coordinates in electromagnetism
  • Familiarity with magnetic vector potential concepts
  • Knowledge of magnetization and its effects on magnetic fields
  • Basic principles of vector calculus
NEXT STEPS
  • Study the calculation of magnetic vector potential for cylindrical geometries
  • Explore the effects of constant magnetization on magnetic field components
  • Learn about the application of Ampère's Law in cylindrical coordinates
  • Investigate the mathematical techniques for solving magnetostatic problems
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Physicists, electrical engineers, and students studying electromagnetism who are interested in advanced topics related to magnetic fields and magnetization in cylindrical structures.

TheDestroyer
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Can anyone solve those problems?

Cylindrical Shell
Outer radius is R2
inner radius is R1
The shell height is L

First:
Magnetization is constant and it is directed along z-axis
Calculate magnetic vector potential and magnetic field components

Second:
Magnetization is constant and it is directed along phi-axis
Calculate magnetic vector potential and magnetic field components


Thanks
 
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