strokebow said:
Thanks hassan. I appreciate you taking time out to answer me but I didnt quite get what you meant.
I get you on the molecular level.
What is 'M'?
I didn't get the rest of what you said. Sorry.
Is there anyway you could explain it differently?
thanks
M is the magnetization density ( also called magnetization). It's in fact the volume-averaged of electron magnetic dipoles moments ;
An electrons have two kind of magnetic dipole moments ,spin moment and orbital moment. In iron, and other ferromagnetic moments, spin moments matter the most.
M=\frac{\sum\mu_{k}}{\Delta V}
\mu_{k} : electron magnetic moment ( it is a vector and has direction)
\Delta V : volume
For iron, In a zero applied field, the average of these atomic magnetic dipoles ( like tiny permanent magnets) is near zero. Under and applied field, this M is is almost proportional to the applied field. A larger M means more tiny magnets are parallel, so they create a stronger field. This field is added to the applied field. A permanent magnet is nothing but a ferromagnetic material with almost all its spin moments parallel, and they remain parallel even without any applied field.
Back to the shielding phenomena,
Suppose we have a uniform magnetic field in the room, in z- direction. first, If we put a solid cylinder made of Iron in the center of the room, with its with its axis in z-direction. What would happens to the uniform field?
Answer: The field won't be uniform anymore, specially iron the iron cylinder. The field lines are more concentrated in the iron.
Why?...
In order to understand this, replace the iron with a permanent magnet of the same shape and magnetization. The magnet has its own field and the field is superposed with the applied. The field inside the magnet is the magnet's own field plus the applied field. Around the magnet , since the magnet's field has different direction with the applied field, tit attenuates the applied field. This is equal to saying the applied field lines have accumulated in the cylinder as if their way has become narrower to the cylinder. An of course have the to leave the cylinder from the other end and spread again at farther distances.
If the cylinder has a void inside, the field inside the void is substantially weakened by the magnet's field for the same reason.
Sorry for the long explanation. I hope things are more clear now.