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A parallel plate capacitor has two layer...

A parallel plate capacitor has two layers of dielectrons as shown in figure. This capacitor is connected across a battery, then the ratio of potential difference across the dielectric layers is

A

`(4)/(3)`

B

`(1)/(2)`

C

`(1)/(3)`

D

`(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
As it is a series combination, so charge on each capacitor is same

So, `V_(1) = (Q)/(C_(1))` and `V_(2) = (Q)/(C_(2))`
`rArr = (V_(1))/(V_(2)) = (C_(2))/(C_(1)) = (epsilon_(0)K_(2)(A)/(2d))(epsilon_(0)K_(1)(A)/(d)) = (6)/(2xx2) = (3)/(2)`
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