A capacitor $$C_1 = 6\,\mu\text{F}$$, is charged to a potential difference of $$V_{0} = 5$$ using a 5 V battery. The battery is removed and another capacitor, $$C_2 = 12\,\mu\text{F}$$ is inserted in place of the battery. When the switch 'S' is closed, the charge flows between the capacitors for some time until equilibrium condition is reached. What are the charges ($$q_{1}$$ and $$q_{2}$$ on the capacitors $$C_{1}$$ and $$C_{2}$$ when equilibrium condition is reached.