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First, let's replace the insulating dielectric by a conducting dielectric;
that is, we build a three-plate capacitor as follows:
P1 P2 P3
P1 P2 P3
P1 P2 P3
wwwwwwwP1 P2 P3wwwwww
P1 P2 P3
P1 P2 P3
P1 P2 P3
where "w" indicates a wire, and P2 is the "dielectric" plate. The
advantage of this scheme is that we can unambiguously talk about the
voltage on P2. .......
........................
Concerning my philosophy of pedagogy: Any net Q on P2 is either
irrelevant to, or a violation of, the usual laws of capacitance. I would
make sure that the students understand the basic, normal laws. Only after
that knowledge was well consolidated would I delve into deviations.