A $\backslash (16\mathrm{.}7\backslash$mathrm$\{$k$\}\backslash$Omega $\backslash )$ resistor and a capacitor are connected in series and then a $12\mathrm{.}0$ V potential difference is suddenly applied across them. The potential difference across the capacitor rises to $8\mathrm{.}35$ V in $\backslash (1\mathrm{.}63\backslash$mu $\backslash$mathrm$\{$~s$\}\backslash ).($a$)$ Calculate the time constant of the circuit. $($b$)$ Find the capacitance of the capacitor.

$($a$)$ Number

Units

$($b$)$ Number

$1$

Units