a$)$ Given the circuit shown below in figure P$4,$ compute the inductor current, $i_L(t),$ for $t0$ utilizing the generalized equation presented in lecture. Assume the "make$-$before$-$break" switch shown in figure P$4$ 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 $4($a$)$ above and the relationship between the inductor current, $i_L(t),$ and the inductor voltage, $v_L(t),$ shown below in equation P $4$ to compute $v_L(t)$ for $t0.$

Equation P$4$: $v_L(t)=L\frac{d{i}_L(t)}{dt}$

Figure P$4$