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Q. In the circuit shown below, the switch $S$ is connected to position $P$ for a long time so that the charge on the capacitor becomes $q _{1}\, \mu C$. Then $S$ is switched to position $Q$. After a long time, the charge on the capacitor is $q _{2}\, \mu C$.
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The magnitude of $q_2$ is ____.

JEE AdvancedJEE Advanced 2021

Solution:

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After long time $i$ circuit $=\frac{2}{3}$ ampere
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$v _{ AB }=2-2\left(\frac{2}{3}\right)=\frac{2}{3}$ volt
So, $q _{2}= CV =(1)\left(\frac{2}{3}\right)=\frac{2}{3} \mu C$