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Q. In the circuit shown, charge on the $5 \mu F$ capacitor is :Physics Question Image

JEE MainJEE Main 2020Electrostatic Potential and Capacitance

Solution:

image
Now, using junction analysis
We can say, $ q _{1}+ q _{2}+ q _{3}=0$
$2(x-6)+4(x-6)+5(x)=0 $
$x=\frac{36}{11} q_{3}=\frac{36(5)}{11}=\frac{180}{11} $
$q_{3}=16.36 \mu C$