A parallel$-$plate capacitor has two parallel plates of area $A=0\mathrm{.}25m^2,$ separated by a distance $d=8mm.$ The space between the two plates is filled with a gas of dielectric constant $=3.$

If the capacitor is connected to a battery such that a voltage $V=10V$ is established across it$,$ what is the charge on the capacitor?

$[3$ points$]$

A$)2\mathrm{.}77$ nC

C$)8\mathrm{.}3C$

D$)2\mathrm{.}77C$

E$)24\mathrm{.}86$ C

What is the magnitude of the electric field between the two parallel plates of the capacitor?

A$)1\mathrm{.}17\frac{N}{C}$

B$)1\mathrm{.}17{10}^{-6}\frac{N}{C}$

C$)1\mathrm{.}25\frac{N}{C}$

$($D$)1\mathrm{.}25{10}^3\frac{N}{C}$

$[3$ points$]$