Flow of Magnetic Charge: A Source in Ampere's Law? - Bob Eisenberg

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SUMMARY

The discussion centers on the relationship between magnetic charge flow and Ampere's Law. Bob Eisenberg asserts that the flow of magnetic charge does not produce a current that serves as a source for the curl of B in Ampere's Law; rather, it is the flow of electric charge that fulfills this role. He further explains that, by duality, flowing magnetic charge would instead act as a source for the curl of E in Faraday's Law, represented by the equation ##\vec{\nabla} \times \vec{E} = \vec{J}_m - \frac{\partial \vec{B}}{\partial t}##, where ##\vec{J}_m## denotes magnetic current.

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  • Knowledge of magnetic and electric charge concepts
  • Basic grasp of vector calculus in physics
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Bob Eisenberg
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If magnetic charge exists, it can flow.

Would the flow of magnetic charge produce a current that would be a source for the curl of B, in Ampere's law?

Ever yours
Bob Eisenberg
Chairman emeritus
Dept of Molecular Biophysics
Rush University Medical Center
 
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Bob Eisenberg said:
Would the flow of magnetic charge produce a current that would be a source for the curl of B, in Ampere's law?

No. The source for the curl of B in Ampere's Law is the flow of electric charge. By duality, we would expect flowing magnetic charge to act as a source for the curl of E in Faraday's Law, i.e., it would become ##\vec{\nabla} \times \vec{E} = \vec{J}_m - \frac{\partial \vec{B}}{\partial t}##, where ##\vec{J}_m## is the magnetic current and I have left out constants that depend on the units being used.
 
Thanks!
As ever
Bob
 

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