Electrodynamics, Curl of P and D

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In electrodynamics, the curl of the electric displacement field (D) and the polarization field (P) is equal in static conditions, as the magnetic field (B) does not vary with time. For linear media, both curls are zero, which simplifies the analysis of electric fields. Understanding the origin of these curls can enhance the conceptualization of electric fields, similar to the established understanding of magnetic fields. The discussion seeks a general expression for the curl of D or P that is independent of the other field. Clarifying these relationships can provide deeper insights into the behavior of electric fields in various contexts.
guiablo
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I know that in statics curl of P=curl of D, since the variation of B in time = 0, and I also know that for linear mediums those curls are 0, but I don't know why, and I don't know if there is any expresion always valid.

I would like to know where this curl comes from like I know where the curl and the divergence of magnetic/inducción/magnetitation field comes so I can picture the electric field in my head easier, as I do with magnetic field, thank you.
 
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I know this is valid always, but i would like to know if we can have the curl of D or P in an expresion that doesn't depend on the other one
 

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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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