Consider the circuit shown in the figure. Before the two capacitors were inserted into the circuit, they were fully charged by a $21\mathrm{.}0$ V battery. Imagine that the switch is now closed.

$($a$)$ After a time interval of $1\mathrm{.}55$ ms $,$ what is the value of the remaining charge $($in $C)$ on the $3\mathrm{.}00F$ capacitor?

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$C$

$($b$)$ After a time interval of $1\mathrm{.}55$ ms $,$ what is the value of the remaining charge $($in $C)$ on the $2\mathrm{.}00F$ capacitor?

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$22\mathrm{.}6C$

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

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$22\mathrm{.}6$ mA