a$)$ Given the circuit shown below in figure $P3,$ compute the capacitor voltage, $vc(t),$ for $t0$ utilizing the generalized equation presented in lecture. Assume the "make$-$before$-$break" switch shown in figure P$3$ is ideal and makes the transition from position A to position B in zero time. The current and voltage conventions shown must be used in the analysis to receive any credit.

b$)$ Use your answer to part $3($a$)$ above and the relationship between the capacitor voltage, $vc(t),$ and the capacitor current, $i{c}_c(t),$ shown below in equation P $3$ to compute $ic(t)$ for $t0.$

Equation P$3$: