In previous blog posts I've stated the Gauss' law of magnetism is just a vector calculus identity. Ampere - Maxwell equation simply states that electricity moving in a circular or turbulent motion is what we call magnetism. The magnetic field is the normal vector of the circulation or turbulence of the electron flow.
Now I look at the Maxwell - Faraday equation and relate it to Lenz's law. The tight circulation of magnetic field or curling electrons is observed by its counter-rotating motion of other electrons working to conserve angular momentum. It is the counter-rotation that we observe in an electric generator and we normally attribute that to the Maxwell-Faraday equation. In the Maxwell-Faraday equation the change in magnetic field magically creates a curling electric field.
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