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At time t=0, a battery of 10 V is connec...

At time t=0, a battery of 10 V is connected across points A and B in the given circuit. If the capacitors have no charge initially, at what time (in seconds) does the voltage across them beocme 4V? `[Take : In 5 = 1.6, In3 = 1.1]`.
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Text Solution

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`V=V_(0)[1-e^((-t//RC)]]`
`4=10[1-e^((1)/(4)]]`
`=1-e^((1)/(4))`
`e^((1)/(4))=(6)/(10)=(3)/(5)`
e^((1)/(4))=(5)/(3)`
`(t)/(4)=In(5)/(3)`
`t=4[varphin5-varphin3]=2sec`
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