How do moving electric fields create magnetic fields?

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Moving electric fields generate magnetic fields through the principle of electromagnetic induction, where a time-varying electric field creates a magnetic field rather than transforming into one. The interaction between electric and magnetic components is governed by Maxwell's equations, which describe how changing electric fields induce magnetic fields and vice versa. Understanding this concept can be challenging, particularly when interpreting the equations involved. Resources such as Wikipedia and HyperPhysics provide additional explanations and examples to clarify these interactions. Exploring these materials can enhance comprehension of electromagnetic fields and their behavior.
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I have a bit of trouble with understanding how electromagnetic fields. More specifically, how the magnetic and the electric component of the field interact. I am aware that a time-varying electric field will generate a magnetic field and vice versa. What I am having trouble understanding is how it manages to do so. How does a moving electric field suddenly become a magnetic field? I've tried to work it out from the equations but I'm having trouble understanding them. If anyone can point me in the right direction it would be greatly appreciated.
 
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