For the Circuit Shown in the Figure $C = 13 \mu \mathrm { F }$

Multiple Choice

For the circuit shown in the figure, $C = 13 \mu \mathrm { F }$ and $R = 7.6 \mathrm { M } \Omega$ . Initially the switch $\mathrm { S }$ is open with the capacitor charged to a voltage of $80 \mathrm {~V}$ . The switch is then closed at time $t = 0.00 \mathrm {~s}$ . What is the charge on the capacitor $40 \mathrm {~s}$ after closing the switch?

A) $2700 \mu \mathrm { C }$
B) $2900 \mu \mathrm { C }$
C) $3300 \mu \mathrm { C }$
D) $3100 \mu \mathrm { C }$
E) $2500 \mu \mathrm { C }$