Consider the circuit shown in the figure. Before the two capacitors were inserted into the circuit, they were fully charged by a $17\mathrm{.}0$ V battery. Imagine that the switch is now closed.

$($a$)$ After a time interval of $1\mathrm{.}40$ ms $,$ what is the value of the remaining charge $($in $\backslash (\backslash$mu $\backslash$mathrm$\{$C$\}\backslash ))$ on the $\backslash (3\mathrm{.}00\backslash$mu $\backslash$mathrm$\{$~F$\}\backslash )$ capacitor?

$\backslash (\backslash$mu $\backslash$mathrm$\{$C$\}\backslash )$

$($b$)$ After a time interval of $1\mathrm{.}40$ ms $,$ what is the value of the remaining charge $($in $\backslash (\backslash$mu $\backslash$mathrm$\{$C$\}\backslash ))$ on the $\backslash (2\mathrm{.}00\backslash$mu $\backslash$mathrm$\{$~F$\}\backslash )$ capacitor?

$\backslash (\backslash$mu $\backslash$mathrm$\{$C$\}\backslash )$

$($c$)$ What is the current $($in mA $)$ in the resistor at this time?

mA