Question8. [Medium] [Inductor]
In the given circuit, the switch is set to its current position for a long time, at t=0, it will swap to the terminal below. Determine the inductor current $i_L(t)$.
$i_L(0) = 1$
$i_L(\infty) = 0$
Using universal solution: $i_L(t) = i_L(\infty) + [i_L(0) - i_L(\infty)]e^{-t/\tau}$
Where $\tau = \frac{L}{R} = \frac{0.1}{10} = 10^{-2}$
$i_L = e^{-t/10^2}$