Question $7$

In the figure shown, Capacitors, C$\_(1)$ and C$\_(2),$ are unknown. Capacitor

C$\_(3)=31\mathrm{.}0$pf$.$ The charge on capacitor C$\_(1)$ is Q$\_(1)=62\mathrm{.}8$pC$,$ and the charge

on Capacitor C$\_(2)$ is Q$\_(2)=16\mathrm{.}4$pC$.$ The battery in the circuit has a

voltage of V$=36\mathrm{.}7$ volts. Determine the capacitance of capacitor C$\_(2)$

$($in pf$).$