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Two identical parallel plate air capacit...

Two identical parallel plate air capacitors are connected in series to a battery of emf V. If one of the capacitor is completely filled with dielectric material of constant K, then potential difference of the other capacitor will become

A

`(K)/(V(K+1))`

B

`(KV)/(K+1)`

C

`(K-1)/(KV)`

D

`(V)/(K(K+1))`

Text Solution

Verified by Experts

The correct Answer is:
B
`C_(1)=C_(air)C_(2)=C_(m).C_(air)=C_(1)K`
`V_(1)=((C_(2))/(C_(1)+C_(2)))V=((C_(1)K)/(C_(1)+C_(1)K))V`
`V_(1)=((K)/(1+K))V.`
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