Capacitor $C_1=1\mathrm{.}2F$ is charged by a $1\mathrm{.}5V$ battery by closing switch $S_1.$

$($a$)$ Calculate the charge on $C_1$ when fully charged.

$($b$)$ Determine the electrical potential energy stored in the electric field of $C_1$ when fully

charged.

Upon fully charged $C_1$ is partially discharged, charging $C_2=3\mathrm{.}0F$ by closing switch $S_2$ and

opening switch $S_1.$

$($c$)$ Indicate on the diagram the polarities $(+$ or $-)$ of the charges on plates of $C_1$ and $C_2$ when

$S_2$ is closed.