A large capacitance of $1\mathrm{.}22$ mF is needed for a certain application.

$($a$)$ Calculate the area the parallel plates of such a capacitor must have if they are separated by $4\mathrm{.}74$m of Teflon, which has a dielectric constant of $2\mathrm{.}1.$

m$2$

$($b$)$ What is the maximum voltage $($magnitude$)$ that can be applied if the dielectric strength for Teflon is

$60106$ V$/$m

V

$($c$)$ Find the maximum charge $($magnitude$)$ that can be stored.

C

$($d$)$ Calculate the volume of Teflon alone in the capacitor.

m$3$