In the circuit given below, the charge in μ C, on the capacitor...

Potential difference across the branch de is $6 \mathrm{ V}$. Net capacitance of de branch is $2.1 \mu \mathrm{F}$ So, $q=C V\Rightarrow \mathrm{q}=2.1 \times 6 \mu \mathrm{C} \quad \Rightarrow \mathrm{q}=12.6 \mu \mathrm{C}$ Potential across $3 \mu \mathrm{F}$ capacitance is $\mathrm{V}=\frac{12.6}{3}=4.2 \mathrm{volt}$ Potential across 2 and 5 combination in parallel is $6-4.2=1.8 \mathrm{ V}$ So, $q^{\prime}=(1.8)(5)=9 \mu C$