SHORT PROBLEM: This problem consists of no more than three parts. You must solve for all the results that are asked for. No answers will be supplied for you. You must show all work to receive any credit. NO WORK $=$ NO CREDIT.

Points: $9$

A series $RC$ circuit is shown in the figure below. $R=4\mathrm{.}73M,C=7\mathrm{.}47F,$ and $=26\mathrm{.}0V.$

$($a$)(3$ points$)$ Calculate the capacitive time constant of the circuit.

$($b$)(3$ points$)$ Calculate the maximum charge on the capacitor after the switch is closed.

$($c$)(3$ points$)$ Find the current in the resistor $15\mathrm{.}2$ s after the switch is closed.