A 4 μFcapacitor and a resistance of 2.5 M Ω are 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 :

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5 ln 4

10 ln 4

20 ln 4

40 ln 2

answer is B.

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Detailed Solution

VC=3VR=3E-VC⇒VC=3E4=E1-e-t/RC ⇒e-t/RC=14 ⇒et/RC=4 ⇒tRC=ln 4⇒t=RC ln 4

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