A resistance $R$ and a capacitance $C$ are connected in series to a battery of negligible internal…

A resistance $R$ and a capacitance $C$ are connected in series to a battery of negligible internal resistance through a key. The key is closed at $t=$ 0 . If after $t$ sec the voltage across the capacitance was seven times the voltage across $\mathrm{R}$, the value of $\mathrm{t}$ is
  1. $3 R C \ell n 2$
  2. $2 R C \ell n 2$
  3. $2 R C \ln 7$
  4. $3 R C \ell n 7$

Solution

$t=3 R C \ln 2$

Asked in: JEE Main 2012 (12 May Online)

Practice more AC Circuits questions on Aicharya