The current through inductance LL is given by I$=$I$0$e$$t$/$I$=$I$0$e$$t$/$$.$ Find an expression for the potential difference $$VL$$VL across the inductor.

Express your answer in terms of some, all, or none of the variables LL$,$ I$0$I$0,$ $,$ tt$,$ and the constant ee$.$Evaluate $$VL$$VL at tt $=0$ msms$,$ if LL $=20$ mHmH$,$ I$0$I$0=50$ mAmA, and $=1\mathrm{.}0$ msms$.$