What Links Electromagnetic Induction and Magnetic Fields?

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Electromagnetic induction occurs when a magnetic field is generated by the flow of current through a conductor, a phenomenon described by Maxwell's equations. The induction of current in a conductor due to a change in magnetic flux is an observed effect that lacks a definitive explanation, although it can be modeled mathematically. The relationship between Maxwell's equations and special relativity is highlighted, showing that each can be derived from the other depending on the foundational assumptions. This interconnection illustrates the logical consistency within electromagnetic theory. Understanding these principles is essential for grasping the fundamental nature of electromagnetism.
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(1)why is magnetic field generated when current is passed through a conductor? :confused:
(2)why is current induced in a conductor by change in magnetic flux? :zzz:
 
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Nobody knows. It is just something that is observed to happen, and that we know how to model using Maxwell's equations.
 
A slightly different answer is also possible:
http://math.ucr.edu/home/baez/physics/Relativity/SR/experiments.html#Length_Contraction

In a mathematically consistent theory, what explains what is a matter of taste, because everything is logically related. If we take Maxwell's equations as our fundamental assumptions (ie. not derived), then we can derive the theory of special relativity. On the other hand, if we take special relativity as our fundamental assumption, then we can derive at least some bits of Maxwell's equations. Hence my slightly different answers.
 

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