Solving Magnetic Field Problems: Cylinder of Permanent Magnetization

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In summary, we discuss a disk of radius a and length h with permanent magnetization M = Moz parallel to h. The units of Mo are A/m. The magnetic current density Jb inside the cylinder is 0 and the surface current density Kb is found using Kb=Mxn^. The boundary conditions for B and H are written for the three surfaces: the top and bottom surfaces of the disk, and the cylindrical surface at radius a. The field lines for B and H can be plotted everywhere.
  • #1
Dassinia
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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 !
 
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  • #2
The 1) top and 2) bottom surfaces of the disk, and 3) the cylindrical surface at radius a.
 

What is the purpose of solving magnetic field problems?

The purpose of solving magnetic field problems is to understand and predict the behavior of magnetic fields in various situations. This can help in designing and optimizing devices that use magnets, such as motors, generators, and magnetic storage devices.

What is a cylinder of permanent magnetization?

A cylinder of permanent magnetization is a cylindrical object made of a magnetized material, such as iron or a ferromagnetic alloy. It has a consistent magnetic field throughout its length and can be used as a simple model for more complex magnetic systems.

How do you calculate the magnetic field of a cylinder of permanent magnetization?

The magnetic field of a cylinder of permanent magnetization can be calculated using the formula B = μ0M/2πr, where B is the magnetic field strength, μ0 is the permeability of free space, M is the magnetization of the cylinder, and r is the distance from the center of the cylinder to the point at which the magnetic field is being measured.

What factors can affect the magnetic field of a cylinder of permanent magnetization?

The magnetic field of a cylinder of permanent magnetization can be affected by the strength and orientation of the magnetization, the material properties of the cylinder, the distance from the cylinder, and the presence of other magnetic fields in the surrounding environment.

How can solving magnetic field problems help in practical applications?

Solving magnetic field problems can help in practical applications by providing insights into the behavior of magnetic fields, allowing for the optimization of devices that use magnets, and aiding in the design of new magnetic technologies. It can also help in troubleshooting and resolving issues related to magnetic fields in various systems.

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