Dielectrics: Guass Law & Polarization Charge Density

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y.moghadamnia
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here is the thing, I have understood this in dielectrics, and I know that we have a new vector field instead of E, the displacement that is not neccessarily conservative. what I was thinking is that all these books, when they want to drag this law out of the info we already had, just try to make is as complicated as possible, that we have condustors inside dielectrics and stuff, and they have a polarization charge density for the conductors, how is that? I am talking about the milford or nayfeh book. if u guys know about, please let me know.
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The book probably just has poor wording. They probably mean there is a polarization charge in the dielectric material at the surface where the dielectrics material touches the conductor.