In the given combination of capacitors $$C_1=4\ \mu\text{F}$$, $$C_2=2\ \mu\text{F}$$, $$C_3=2\ \mu\text{F}$$, $$C_4=4\ \mu\text{F}$$ and $$C_5=3\ \mu\text{F}$$, a source of $$12\ \text{V}$$ is connected across the points $$A$$ and $$B$$. Then the

A

equivalent capacity between $$A$$ and $$B$$ is $$\frac83\ \mu\text{F}$$

B

stored electrical energy of the system is $$204\ \mu\text{J}$$

C

potential difference between $$X$$ and $$Y$$ is $$V_{XY}=2\ \text{V}$$

D

potential difference across capacitor $$C_2$$ is $$8\ \text{V}$$