Solving Magnetic Field Problems: Cylinder of Permanent Magnetization

  • Thread starter Thread starter Dassinia
  • Start date Start date
  • Tags Tags
    Cylinder
Click For Summary
SUMMARY

The discussion focuses on solving magnetic field problems related to a cylinder of permanent magnetization with a specified magnetization vector M = Moz. Key points include the unit of Mo, which is A/m, and the calculation of magnetic current density Jb, which is zero inside the cylinder due to constant magnetization. Additionally, the boundary conditions for magnetic fields B and H are to be established for the top, bottom, and cylindrical surfaces of the disk.

PREREQUISITES
  • Understanding of magnetic field concepts, specifically permanent magnetization.
  • Familiarity with vector calculus, particularly the curl operation (∇x).
  • Knowledge of boundary conditions in electromagnetism.
  • Ability to interpret and plot magnetic field lines.
NEXT STEPS
  • Study the derivation of boundary conditions for magnetic fields in different geometries.
  • Learn about the implications of constant magnetization in cylindrical coordinates.
  • Explore the mathematical techniques for plotting magnetic field lines in 3D space.
  • Investigate the applications of magnetic current density in electromagnetic theory.
USEFUL FOR

Students preparing for exams in electromagnetism, physicists working with magnetic materials, and engineers involved in magnetic field analysis.

Dassinia
Messages
141
Reaction score
0
Hello, I have an exam Tuesday and I'm solving the problems of previous years :

Homework Statement


Consider a disk of radius a and length h of permanent magnetization M = Moz parallel to h.
a/ what are the units of Mo ?
b/Find the magnetic current density Jb inside the cylinder and the curface current density Kb on the three surfaces.
c/ Write boundary conditions of B and H for the three surfaces.
d/ Plot field lines for B and H everywhere.



Homework Equations


Kb=Mxn^
Jb=∇xM

The Attempt at a Solution


a/ A/m
b. Inside the cylinder, the magnetization is constant so
Jb=∇xM =0
I don't get what they mean by the three surfaces, inside the cylinder, outside and ?

Thanks !
 
Physics news on Phys.org
The 1) top and 2) bottom surfaces of the disk, and 3) the cylindrical surface at radius a.
 

Similar threads

Magnetic field of a permanently magnetized cylinder
  • · Replies 8 ·
Replies
8
Views
3K
Force between two halves of a current carrying hollow cylinder
  • · Replies 3 ·
Replies
3
Views
1K
A falling resistive disk in uniform magnetic field
  • · Replies 17 ·
Replies
17
Views
2K
Magnetic field in the case of a thin magnetized cylinder
  • · Replies 11 ·
Replies
11
Views
3K
Magnetic Surface Currents and the Interaction of Magnetic Fields with Matter
  • · Replies 2 ·
Replies
2
Views
2K
EM fields and Current between 2 charged cylinders
  • · Replies 10 ·
Replies
10
Views
2K
Magnetic field inside and outside of a magnetized cylinder
  • · Replies 17 ·
Replies
17
Views
4K
Magnetization of a paramagnetic sphere
  • · Replies 11 ·
Replies
11
Views
2K
Finding the inductance of a rotating cylinder shell
  • · Replies 14 ·
Replies
14
Views
3K
Magnetic field inside a cylinder with an offset hole
  • · Replies 2 ·
Replies
2
Views
2K