$2.$ Consider the circuit above.

a$.$ Please determine the voltage across the capacitor at $\backslash ($ t$=50\backslash$mathrm$\{$~ms$\}\backslash ).$ Assume the switch SW$2$ changes states at $\backslash (\backslash$mathrm$\{$t$\}=0\backslash$mathrm$\{$~s$\}\backslash ).$

b$.$ Plot the voltage across the capacitor from $800$ ms to $1\mathrm{.}5$ s $.$ Toggle switch SW$2$ at $1\mathrm{.}0$ s $.$