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Q. Find the charge (in $\mu C$ ) on the capacitor of value $2 \,\mu F$ in the figure shown at steady state.Physics Question Image

Current Electricity

Solution:

Using cell equivalent method for two independent circuits, We get the following equivalent circuit:
image
Since in steady state there is no current flow, the all resistors are of no use. So charge on both the capacitors will be $q=\frac{3}{2}(5)=\frac{15}{2}\, \mu C$
Now, charge on $2\, \mu F$ capacitor will be
$q_{2}=\frac{15}{2} \times \frac{2}{3}=5 \,\mu C$