Does this device give a magnetic field?

AI Thread Summary
The discussion revolves around whether a rotating system of two electrostatic particles fixed in a circle generates a magnetic field. It emphasizes the need to consider the angular velocity and the small diameter of the circle while focusing on magnetostatics rather than electromagnetic waves. Participants reference the Liénard-Wiechert potentials and suggest using superposition to calculate the magnetic field produced by each charge. Clarification is sought on how to derive the magnetostatic field from the provided equations. Ultimately, the conversation highlights the theoretical aspects of magnetic field generation in a rotating electrostatic system.
Gh778
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Hello,

It's a theoretical question. I take 2 electrostatic particules fixed in a circle. I turn the circle. Is there a magnetic field ? I suppose the angular velocity very high and I suppose the particules are fixed in the circle. The diameter of the circle is very small. I don't want the electromagnetic wave but the magnetic field at low frequency : magnetostatics.

case1/
http://imageshack.com/a/img537/2970/jIKEwq.png

case2/
http://imageshack.com/a/img540/3374/ldkDxd.png

Regards
 
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Gh778 said:
Hello,

It's a theoretical question. I take 2 electrostatic particules fixed in a circle. I turn the circle. Is there a magnetic field ? I suppose the angular velocity very high and I suppose the particules are fixed in the circle. The diameter of the circle is very small.
Look at the Lienard Wiechert potentials. What do they say?

https://en.m.wikipedia.org/wiki/Liénard–Wiechert_potential
 
It's only for one particle ? And I'm looking for the magnetic field at low frequency not the electromagnetic wave.
 
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Maxwells equations are linear. Just use superposition.
 
Sorry, but I don't undertand how to use your link to find the magnetostatic field, could you explain please ?
 
Calculate the field due to each charge, as described in the link. Then just add them together to get the total field.
 
Ok, and to have the magnetostatic field ?
 
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