An air$-$filled parallel$-$plate capacitor has plates of area $2\mathrm{.}80$ cm$2$ separated by $2\mathrm{.}50$ mm$.$ The capacitor is connected to a $15\mathrm{.}0-$V battery.

$($a$)$ Find the value of its capacitance.

pF

$($b$)$ What is the charge on the capacitor?

pC

$($c$)$ What is the magnitude of the uniform electric field between the plates?

V$/$m