Approximating Field of Permanent Magnet with Micro-Currents?

AI Thread Summary
The discussion centers on approximating the magnetic field of a permanent magnet using the Biot-Savart Law applied to microscopic currents. Participants explore how to arrange these currents or circuits in space, questioning the impact of random orientation on bulk magnetization. One suggestion involves visualizing the currents as circular loops stacked like cans. The conversation also touches on the complexity of summing the contributions from these loops, particularly in off-axis scenarios. Overall, the dialogue emphasizes curiosity about modeling magnetic fields through innovative arrangements of micro-currents.
tade
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According to theory, the magnetic field of a permanent magnet is due to the combined effects of billions of microscopic magnetic moments.

I'm trying to use the Biot -Savart Law for billions of microscopic currents to approximate a the field of a permanent magnet.

How should these currents (or circuits) be arranged in space?
 
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tade said:
According to theory, the magnetic field of a permanent magnet is due to the combined effects of billions of microscopic magnetic moments.

I'm trying to use the Biot -Savart Law for billions of microscopic currents to approximate a the field of a permanent magnet.

How should these currents (or circuits) be arranged in space?

How do you think those magnetic dipoles should be arranged in the first place? What do you think will happen to the bulk magnetization if these dipoles are randomly oriented?

BTW, who is torturing you to do such a silly thing?

Zz.
 
ZapperZ said:
How do you think those magnetic dipoles should be arranged in the first place? What do you think will happen to the bulk magnetization if these dipoles are randomly oriented?

BTW, who is torturing you to do such a silly thing?

Zz.
It is just out of curiosity.I was thinking of arranging them like the cans in this picture:

energy%20drink%20overload.jpg


Imagine that the rim of each can represents one circular circuit/current loop. Then we can stack layer upon layer of cans.
 
tade said:
It is just out of curiosity.I was thinking of arranging them like the cans in this picture:

energy%20drink%20overload.jpg


Imagine that the rim of each can represents one circular circuit/current loop. Then we can stack layer upon layer of cans.

Then I'd love to see how you will handle the summing up of the "infinite series" off-axis solution from each of these current loop.

Zz.
 
ZapperZ said:
Then I'd love to see how you will handle the summing up of the "infinite series" off-axis solution from each of these current loop.

Zz.
Umm, thanks for the... encouragement?
 
ZapperZ said:
Then I'd love to see how you will handle the summing up of the "infinite series" off-axis solution from each of these current loop.

Would you like to give me some pointer/suggestions/changes to this simplistic model?
 
Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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