Q$2$: The switch in the circuit shown in Figure$-2$ was open for a long time. At t$=0,$ it is closed. Calculate

$($i$)$ Inductor current at t$=0^(+),$ and t$=\backslash$infty $.$

$[3+2]$

$($ii$)$ Time constant, $\backslash$tau of the inductor current i$\_($L$)($t$)$ when t$>0.$

$[5]$

$($iii$)$ Solve the inductor current, i$\_($L$)($t$)$ and sketch i$\_($L$)($t$)$ when t$>=0.$

$[7+3]$

rigure$-2$