Help this problem cost me much time

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In summary, the conversation discusses creating a cylindrical cavity in an infinitely large uniformly magnetic medium, with the cavity's radius and height denoted as r and h respectively. The direction of the cavity's axis is parallel to the magnetization direction in the medium. The question posed is how to explain the relationship between the magnetic field strength H and magnetic induction B in the cavity and the medium, specifically when h>>r and r>>h. The discussion also clarifies the difference between H and B, with H being an independent fundamental magnitude of the magnetic field.
  • #1
goodboy
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english is my second language,if there are some wrong in the sentence ,don't laugh at me :redface:

dig a columniform cavity in a infinity uniformity magnetic medium.the

cavity's radius is r and the high is h,and the axis of the cavity parallels

the direction of magnetization M in the medium.
question:1)when h>>r,the magnetic field strength H of the point in the cavity = the magnetic field strength H in the medium.
2) when r>>h,the magnetic induction strength B of the point in the cavity = magnetic induction strength B in the medium.
haw to testify ?
 
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  • #2
goodboy said:
english is my second language,if there are some wrong in the sentence ,don't laugh at me :redface:

dig a columniform cavity in a infinity uniformity magnetic medium.the

cavity's radius is r and the high is h,and the axis of the cavity parallels

the direction of magnetization M in the medium.
question:1)when h>>r,the magnetic field strength H of the point in the cavity = the magnetic field strength H in the medium.
2) when r>>h,the magnetic induction strength B at the point in the cavity = magnetic induction strength B in the medium.
haw to testify ?
I'll start by trying to translate the question. Could you tell us what your first language is?

Make a cylindrical cavity through an infinitely large uniformly magnetic medium. The cylinder's radius is r and its height is h and the axis of the cylinder is parallel to the direction of the magnetic field in the medium.

Question:
1) when h>>r, the magnetic field strength H at any point in the cavity is equal to the magnetic field strength in the medium

2) where r>>h, the magnetic induction B of the point in the cylinder is equal to the magnetic induction B in the magnetic medium.

How do you explain this?​

Perhaps that will get a response for you.

AM
 
Last edited:
  • #3
thank you very much,my first language is chinese.i'm not good at english,don't laugh at me . there is no problem in your interpretation.
 
  • #4
Andrew Mason said:
Make a cylindrical cavity through an infinitely large uniformly magnetic medium. The cylinder's radius is r and its height is h and the axis of the cylinder is parallel to the direction of the magnetic field in the medium.

Question:
1) when h>>r, the magnetic field strength H at any point in the cavity is equal to the magnetic field strength in the medium

2) where r>>h, the magnetic induction B of the point in the cylinder is equal to the magnetic induction B in the magnetic medium.

How do you explain this?[/indent
​

Ok. I was a little unsure about the difference between magnetic induction and the magnetic field at first, but I think I understand the problem now.

The magnetic field strength H is the magnetic field that would exist in the absence of the magnetic material (ie in a vacuum), divided by [itex]\mu_0[/itex], the permeability of free space. The magnetic induction B, is the actual measured magnetic field (which depends on the permeability of the magnetic material). H represents a kind of fundamental magnitude of the magnetic field that is independent of the permeability of the material.

[tex]B = \mu H[/tex]

Does that help you to answer the question?

AM​
 

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