Magnetic Monopole (Magnetic Charge)

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SUMMARY

This discussion centers on the concept of magnetic monopoles and their relationship to Maxwell's equations. It establishes that a magnetic charge can produce a Coulomb magnetic field, analogous to how an electric charge produces a Coulomb electric field. The participants explore the idea of an electric current element that would generate a Biot-Savart electric field, questioning what such an entity would be called and where to find comprehensive information on the topic. The discussion highlights the need for educational resources that present electromagnetic concepts in a structured manner, similar to Arthur Kip's textbook approach.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with Coulomb's law
  • Knowledge of the Biot-Savart law
  • Basic concepts of electric and magnetic fields
NEXT STEPS
  • Research the concept of magnetic monopoles in depth
  • Explore the relationship between electric and magnetic fields in advanced electromagnetism
  • Investigate the Biot-Savart law and its applications in electromagnetic theory
  • Study Arthur Kip's textbook on electromagnetism for structured learning
USEFUL FOR

Physicists, electrical engineers, and students of electromagnetism seeking to deepen their understanding of magnetic monopoles and their implications in electromagnetic theory.

Harrisonized
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An electric charge produces a Coulomb electric field:
E = dqe r/r3

A current element produces a Biot-Savart magnetic field
B = i dl×r /r3

From what I understand, magnetic charges are inserted for the sake of making Maxwell's equations symmetric.

A magnetic charge is meant to produce a Coulomb magnetic field:
B = dqm r /r3

So if magnetic monopoles are allowed, shouldn't there also be an analogous version of the electric current element that produces a Biot-Savart electric field?

E = ie dl×r /r3

What would such a thing be called? Where would I find information about these kinds of objects?
 
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Harrisonized said:
So if magnetic monopoles are allowed, shouldn't there also be an analogous version of the electric current element that produces a Biot-Savart electric field?

Yes.

What would such a thing be called? Where would I find information about these kinds of objects?

http://en.wikipedia.org/wiki/Magnetic_monopole#Maxwell.27s_equations
 
I saw that before I made this thread. That's not quite as much information as I'd hoped.

I was hoping for sort of like an introduction on the subject. For example, the first textbook I ever learned E/M out of is by Arthur Kip. Each chapter is organized in two parts. First, they present a law (for example, Coulomb's law). Then, they provide examples (for example, they'll give sample distributions and then show the resulting electric field using Coulomb's law). There are also some nice visualizations.

That kind of information.
 

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