Potentials in classical electromagnetism

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Scalar and vector potentials are fundamental concepts in classical electromagnetism that simplify the analysis of electric and magnetic fields. The scalar potential relates to the electric field, while the vector potential is associated with the magnetic field. These potentials can be used to derive the wave equation for light by applying Maxwell's equations and utilizing the Lorenz gauge condition. Understanding these concepts is crucial for grasping the behavior of electromagnetic waves and their propagation. For a deeper exploration, resources such as "Introduction to Electrodynamics" by David J. Griffiths provide comprehensive insights into these topics.
spaghetti3451
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Can anyone please explain the concepts of scalar and vector potential and how they can be used to derive the wave equation for light?

References are welcome.

Thanks in advance for any help!
 
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P.S. I am looking for a sound explanation of the motivation, derivation and consequences of these concepts. Therefore, a conceptually stimulating resource would be very much appreciated.
 
Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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