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A parallel plate air capacitor of capaci...

A parallel plate air capacitor of capacitance `C` is connected to a cell of `emF V` and then disconnected from it. A dielectric slab of dielectric constant `K`, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect ?

A

The energy stored in capacitnce decreases `K` time.

B

The change in energy stored is
`(1)/(2) CV^(2) ((1)/(K) - 1)`

C

The chareg on the capacitor is not conserved

D

The potential difference between te plates decreases `K` times

Text Solution

Verified by Experts

The correct Answer is:
C

Once the capacitor is charged, its charge will be constant, `Q = CV`. This is because the cell is disconnected.
when dielectric slab is inserted `C' = KC`
As `E = (Q^(2))/(2C) :. E' = (1)/(K) E`
As `V = (Q)/(C ) :. V' (V)/(K)`
S charge is not conserved is incorrect statment.
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