A dielectric slab fills the lower half of a parallel plate capacitor as shown in figure. (Take plate area as A)
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a
Equivalent capacity of the system is ε0A/2d(1+K).
b
The net charge of the lower half of the left hand plate is 1/K times the charge on the upper half of the plate.
c
Net charges on the lower and upper halves of the left hand plate are different.
d
Net charge on the lower half of the left hand plate is Kε0A2d×V.
answer is A.
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Detailed Solution
This system can be considered as two capacitors in parallel, with C1=ε0A2d and C2=Kε0A2d.C1 is due to upper half of two plates, while C2 is due to lower half.As potential difference across two capacitors is the same, charges would be different as capacitors are different.