Alternate expression for Maxwell's Equations

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SUMMARY

The discussion centers on deriving the electric (E) and magnetic (H) fields in terms of magnetic current sources (M) as outlined in the pre-course syllabus for an electromagnetism course. The Ampere-Maxwell Law in Heaviside-Lorentz units is referenced, specifically the equation involving the curl of H, displacement current, and the magnetic current source. For further understanding, standard textbooks such as "Classical Electrodynamics" by John David Jackson and "Quantum Electrodynamics" by Julian Schwinger are recommended for models involving magnetic monopoles.

PREREQUISITES
  • Understanding of electromagnetism principles, specifically Maxwell's Equations.
  • Familiarity with Heaviside-Lorentz units.
  • Knowledge of magnetic monopoles and their theoretical implications.
  • Basic calculus and vector analysis for deriving field equations.
NEXT STEPS
  • Study the derivation of Maxwell's Equations from fundamental principles.
  • Explore the implications of magnetic monopoles in classical and quantum physics.
  • Review the Ampere-Maxwell Law and its applications in electromagnetic theory.
  • Read "Classical Electrodynamics" by John David Jackson for advanced concepts in electromagnetism.
USEFUL FOR

Students preparing for advanced electromagnetism courses, physicists interested in theoretical models of electromagnetism, and educators teaching Maxwell's Equations and their applications.

jimhalpert
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Hello,

I'm prepping for a course I'm about to take and on the pre-course syllabus it said I should be able to:

"Derive the equations for E and H fields in terms of magnetic current source M."

It's been a long time since I've had an EM course, so I'm naturally lost. How would I go about doing this?
 
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I don't know what a "magnetic current source" might be. If it's simply magnetization, the Ampere-Maxwell Law reads (in Heaviside-Lorentz units)

[tex]\vec{\nabla} \times \vec{H} - \frac{1}{c} \frac{\partial \vec{D}}{\partial t} = \vec{j} + \vec{\nabla} \times \vec{M}.[/tex]

If you have a model with magnetic monopoles, have a look in the usual standard textbooks like Jackson or Schwinger.
 

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