Does this device give a magnetic field?

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Discussion Overview

The discussion revolves around whether a rotating system of two fixed electrostatic particles arranged in a circle generates a magnetic field, specifically focusing on magnetostatics rather than electromagnetic waves. Participants explore theoretical implications and calculations related to this scenario.

Discussion Character

  • Theoretical exploration
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • One participant proposes that rotating two electrostatic particles fixed in a circle could generate a magnetic field, assuming high angular velocity and a small diameter.
  • Another participant references the Liénard-Wiechert potentials, questioning their applicability to the scenario of two particles.
  • A participant seeks clarification on whether the Liénard-Wiechert potentials apply to a system of two particles rather than one.
  • One participant suggests using Maxwell's equations and the principle of superposition to analyze the situation.
  • Another participant expresses confusion about how to utilize the provided link to derive the magnetostatic field.
  • A later reply advises calculating the magnetic field due to each charge and then summing them to find the total field.
  • A participant requests further clarification on how to specifically obtain the magnetostatic field from the calculations.

Areas of Agreement / Disagreement

The discussion remains unresolved, with multiple competing views on the applicability of theoretical models and methods for calculating the magnetic field in this context.

Contextual Notes

Participants express uncertainty regarding the application of the Liénard-Wiechert potentials to multiple particles and the process of calculating the magnetostatic field from the individual contributions of each charge.

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
 
Last edited by a moderator:
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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.
 
Last edited:
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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