Required information

The switch in the given figure has been in position $\backslash ($ A $\backslash )$ for a long time. At $\backslash ($ t$=0\backslash ),$ the switch moves from position $\backslash ($ A $\backslash )$ to $\backslash ($ B $\backslash ).$ The switch is a make$-$before$-$break type so that there is no interruption in the inductor current. Consider the value of current $\backslash ($ I$=\backslash )18$ A $.$

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

Find the current $\backslash ($ i$($t$)\backslash )$ for $\backslash ($ t$>0\backslash ).$

The current $\backslash ($ i$($t$)\backslash )$ is $($

$\backslash ($ e$^\{-\}\backslash )$

t$)$ A$.$