Dielectrics: Guass Law & Polarization Charge Density

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In dielectrics, the displacement field replaces the electric field, which is not necessarily conservative. The discussion highlights confusion around the complexity introduced in textbooks regarding polarization charge density, particularly in the context of conductors within dielectrics. It is suggested that the books may poorly articulate that polarization charge exists at the interface between the dielectric and the conductor. Clarification is sought regarding the treatment of these concepts in specific texts like Milford or Nayfeh. Understanding these nuances is crucial for grasping the behavior of dielectrics in electrostatics.
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.
thanx
 
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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.
 
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