Bonus $(10$ pts$)$ Determine the Thevenin equivalent circuit between points a and $b$ for the following network.

a$.$ Determine the voltage across the capacitor $(V_{TH})$

b$.$ Determine the equivalent impedance between points a and $b$ with the source "killed" $($ie$.Z_{TH})$

c$.$ Draw the equivalent Thevenin circuit using a$)$ and b$).$