Two capacitors $($C$1=2\mathrm{.}00$F and C$2=15\mathrm{.}0$F$)$ are now connected in series and to a $9\mathrm{.}00-$V battery.

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

$$F

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

V$1=$ VV$2=$ V

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

Q$1=$CQ$2=$C