A capacitor C_1 of capacitance 5 μ F is charged to a potential of 30 V using a battery. The battery is then removed and the charged capacitor is…

A capacitor $\displaystyle \mathrm{C}_1$ of capacitance $\displaystyle 5 \mu \mathrm{~F}$ is charged to a potential of $\displaystyle 30$ V using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor $\displaystyle \mathrm{C}_2$ of capacitance $\displaystyle 10 \mu \mathrm{~F}$ as shown in figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitor $\displaystyle \mathrm{C}_2$ is \_\_\_\_ $\displaystyle \mu \mathrm{C}$.