A parallel plate capacitor of plate area A and plate separation
d is charged to potential difference V and then the battery
is disconnected. A slab of dielectric constant K is then
inserted between the plates of capacitor so as to fill the
space between the plates. If Q, E and W denote respectively,
the magnitude of charge on each plate electric field between
the plates (after the slab is inserted), and work done on the
system, in question, in the process of inserting the slab,
then which is wrong ?
(a) Q = ℰ₀AV/d (b) Q = ℰ₀KAV/d
(c) E = V/Kd (d) W = ℰ₀AV²/2d (1 - 1/K)
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