Magnetic Circuits: Why Does Flux Divide in Parallel?

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Flux in magnetic circuits does not flow like current in electrical circuits, yet it behaves similarly in terms of mathematical treatment. The division of flux in parallel magnetic circuits can be understood through the duality present in Maxwell's equations, which relate electric and magnetic fields. This duality allows for the application of electrical current concepts to magnetic flux, despite the absence of a physical carrier. Misunderstanding this abstraction can lead to misconceptions about the nature of magnetic circuits. A solid grasp of the underlying mathematics is essential for accurately interpreting these phenomena.
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Current flows... But Flux doesn't flow in magnetic circuit. It is a sense of electrons being divided in parallel circuits. We don't have any such in Magnetic Circuit like electrons in electric circuit. Then Why does the flux divides in Parallel system of magnetic circuit?
 
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anupadhikari said:
Current flows... But Flux doesn't flow in magnetic circuit. It is a sense of electrons being divided in parallel circuits. We don't have any such in Magnetic Circuit like electrons in electric circuit. Then Why does the flux divides in Parallel system of magnetic circuit?

The mathematics of magnetic flux is the same as current so even though it doesn't have an obvious "carrier" that actually flows, you can treat it as if it did. The result is that you get a dual to electrical current. Of course the reason is the duality between electric and magnetic fields in Maxwell's equations.

This is one of those cases when the simplistic intuition of physical carrier flow actually hurts you. It's also why physicists sneer at anything that isn't strictly mathematics-based: intuitions can lie to you if you don't understand the abstraction and the underlying math that was approximated to justify the abstraction.
 
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