$[-/12\mathrm{.}5$ Points$]$

SERCP$1118\mathrm{.}5.$OP$\mathrm{.}033.$

The figure below shows a capacitor, with capacitance $C=47\mathrm{.}5F,$ and a resistor, with resistance $R=70\mathrm{.}0k,$ connected in series to a battery, with $=29\mathrm{.}0V.$ The circuit has a switch, which is initially open.

$($a$)$ What is the circuit's time constant $($in s$)?$

$s$

$($b$)$ After the switch is closed for one time constant, how much charge $($in C $)$ is on the capacitor?

C

Need Help?