Question

A dielectric slab fills the lower half of a parallel plate capacitor as shown in figure :
(Take plate are as )

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This question has multiple correct options
A

equivalent capacity of the system is

B

the net charge of the lower half of the left hand plate is 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 hand of the left hand plate is

Hard

Solution

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Correct options are A) , C) and D)

This system can be considered as two capacitors in parallel with
  and
. Hence option A is correct
is due to upper half of two plates, while is due to lower half. As potential difference across two capacitors is the same, charges would be different as capacitors are different. Hence option C is correct,

Net charge on the lower half plate
.
Therefore option D is correct

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