5) A 3.3V step input signal, $v_s(t) = 3.3 \cdot V \cdot u(t)$, is applied to the following circuit:
3.3 mH
$v_o(t)$
$i_L(t)$
L
$v_s(t)$
R
3.3 k\Omega
a) What is the value of $i_L(t)$ just before $t = 0$ (call this $t = 0^-$)?
b) What is the value of $i_L(t)$ at $t = 0$?
c) What is the steady-state value of $i_L(t)$?
d) What is the time constant of the circuit?
e) Determine an expression for the inductor current, $i_L(t)$, for $t \ge 0$.
f) Determine an expression for the output voltage, $v_o(t)$, for $t \ge 0$.
