Two capacitors, C$1=4\mathrm{.}00$F and C$2=9\mathrm{.}0$F$,$ are connected in parallel, and the resulting combination is connected to a $9\mathrm{.}00-$V battery.

$($a$)$ Find the equivalent capacitance of the combination.

$13$F

$($b$)$ Find the potential difference across each capacitor.

V$1=9$ VV$2=9$ V

$($c$)$ Find the charge stored on each capacitor.

Q$1=36$CQ$2=81$C