After t$=0$t$=0,$ the current through the inductor decreases exponentially with time. In general, the current I$($t$)$I$($t$)$ flowing in an L$-$R circuit at time tt after the voltage source is removed is given by

I$($t$)=$I$0$e$$t$/$$,$I$($t$)=$I$0$e$$t$/$$,$

where I$0$I$0$ is the current through the inductor at t$=0$t$=0$ when the voltage source is removed, and is the time constant characteristic of the circuit.

Part B

What is the current I$($$)$I$($$)$ that flows through the inductor one time constant after the voltage source is removed?