A 4 muF capacitor, a resistance of 2.5 M...

A `4 muF` capacitor, a resistance of `2.5 M Omega` is in series with `12V` battery. Find the time after which the potential difference across the capacitor is 3 times the potential difference across the resistor. [ Given In (2) = 0.693]

A

`6.93sec`.

B

`13.86sec.`

C

`20.52sec`.

D

none of these

Verified by Experts

The correct Answer is:

B

`V_(C ) = 3V_(R )`
`V(1-e^(-(t)/(tau))) =3Ve^(-(t)/(tau))`

`1-e^(-(t)/(tau))=3e^(-(t)/(tau)) rArre^(t//tau) =2^(2)`
`t//tau - 2ln`
`t = 2tauln2 = 13.86 sec`

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