Magnetic Monopole (Magnetic Charge)

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Magnetic monopoles are proposed to create a Coulomb magnetic field, similar to how electric charges create an electric field. The discussion suggests that if magnetic monopoles exist, there should be an analogous electric current element that produces a Biot-Savart electric field. The participants seek more comprehensive introductory resources on this topic, expressing dissatisfaction with existing information on magnetic monopoles. They reference the need for structured educational materials, like those found in Arthur Kip's textbooks, that include laws, examples, and visualizations. The conversation highlights a desire for deeper understanding and accessible learning resources regarding magnetic monopoles and their implications in electromagnetism.
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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