A potential difference of $289$ V is applied ot a series connection of two capacitors of capacitances C$1=3\mathrm{.}69$ uF and C$2=8\mathrm{.}00$ uF$.$ What are $($A$)$ charge q$1$ and $($b$)$ potential difference V$1$ on capacitor $1$ and $($c$)$ q$2$ and $($d$)$ V$2$ on capacitor $2?$ The charged capacitors are then disconnected from each other and from the battery. Then the capacitors are reconnected with plates of the same signs wired together $($the batter is not used$).$ What now are $($e$)$ q$1,($f$)$ V$1,($g$)$ q$2,($h$)$ V$2?$ suppose, instead, the capacitors charged in part $($a$)$ are reconnected with plates of opposite signs wired together. What now are $($i$)$ q$1,($j$)$ V$1,($k$)$ q$2,$ and $($I$)$ V$2?$