$(5$ pts$)5.$ A capacitor with $C=4\mathrm{.}00{10}^{-6}F$ is connected to a battery and the charge on the capacitor is $3\mathrm{.}00{10}^{-6}C.$ While the capacitor remains connected to the battery, a dielectric with dielectric constant $3$:$00$ is inserted, completely filling the volume between the plates of the capacitor. After the dielectric has been inserted, what is the charge on the capacitor?

$($a$)Q=1\mathrm{.}00{10}^{-6}C$

$($b$)Q=3\mathrm{.}00{10}^{-6}C$

$($c$)Q=6\mathrm{.}00{10}^{-6}C$

$($d$)Q=9\mathrm{.}00{10}^{-6}C$

$($e$)Q=12\mathrm{.}00{10}^{-6}C$

Reuter

$($f$)$ none of the above answers dielectic