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In the given circuit, one of the capacit...

In the given circuit, one of the capacitors was connected to a voltage `V_(0)` and then at the moment `t = 0` was shorted by means of the switch. Find the amount of heat generated.

A

`CV_(0)^(2)`

B

`(1)/(5)CV_(0)^(2)`

C

`(1)/(3)CV_(0)^(2)`

D

`(1)/(4)CV_(0)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D

Potential drop across both capacitors are same
`q=CV_(0), u_(i)=(1)/(2)CV_(0)^(2)`
`DeltaH=u_(f)-u_(i), u_(f)=(1)/(2)((q//2)^(2))/(C )+(1)/(2) ((q//2)^(2))/(C )=(1)/(4)CV_(0)^(2)`
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