A student is working with a $2\mathrm{.}75-$F capacitor, a $8\mathrm{.}00-$F capacitor, and a $7\mathrm{.}60-$V battery. What is the the charge $($in $$C$)$ on each capacitor if the student connects the capacitors in the following ways.

$($a$)$

in series across the battery

$2\mathrm{.}75-$F capacitor

Apply the equation for equivalent capacitance for capacitors in series. Recall that capacitors in series carry the same charge as their equivalent capacitance. $$C$8\mathrm{.}00-$F capacitor A student is working with a $\backslash (2\mathrm{.}75-\backslash$mu $\backslash$mathrm$\{$F$\}\backslash )$ capacitor, a $\backslash (8\mathrm{.}00-\backslash$mu $\backslash$mathrm$\{$F$\}\backslash )$ capacitor, and a $\backslash (7\mathrm{.}60-\backslash$mathrm$\{$V$\}\backslash )$ battery. What is the the charge $($in $\backslash (\backslash$mu $\backslash$mathrm$\{$C$\}\backslash ))$ on each capacitor if the student connects the capacitors in the following ways.

$($a$)$ in series across the battery

$2\mathrm{.}75-\backslash (\backslash$mu $\backslash$mathrm$\{$F$\}\backslash )$

capacitor Apply the equation for equivalent capacitance for capacitors in series. Recall that capacitors in series carry the same charge as their equivalent capacitance. $\backslash (\backslash$mu $\backslash$mathrm$\{$C$\}\backslash )$

$8\mathrm{.}00-\backslash (\backslash$mu $\backslash$mathrm$\{$F$\}\backslash )$

capacitor

Apply the equation for equivalent capacitance for capacitors in series. Recall that capacitors in series carry the same charge as their equivalent capacitance. $\backslash (\backslash$mu $\backslash$mathrm$\{$C$\}\backslash )$

$($b$)$ in parallel across the battery

$2\mathrm{.}75-\backslash (\backslash$mu $\backslash$mathrm$\{$F$\}\backslash )$ capacitor

$-\backslash (\backslash$mu $\backslash$mathrm$\{$C$\}\backslash )$

$8\mathrm{.}00-\backslash (\backslash$mu $\backslash$mathrm$\{$F$\}\backslash )$ capacitor

$-\backslash (\backslash$mu $\backslash$mathrm$\{$C$\}\backslash )$