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Two condensers, one of capacity C and th...

Two condensers, one of capacity C and the other of capacity `C/2` , are connected to a V-volt battery, , as shown

The work done in charging fully both the condensers is

A

`2 CV^2`

B

`1/4 CV^2`

C

`3/4 CV^2`

D

`1/2 CV^2`

Text Solution

Verified by Experts

The correct Answer is:
C
`C_(eq)=C+C/2 =(3C)/2`
`W=U+1/2C_(eq) V^2 =1/2 xx(3C)/2 xxV^2 = (3CV^2)/4`
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