The switch is closed at $t=0$, find values of $i(t):

Solution:

$\because$ All initial conditions are zero $\therefore I_L(\overline{0})=I_0=0$ Amp ckt at $t=0^{+}$

Apply KVL to loop

$ \begin{gathered} \\ 100-10 i(t)-1 \cdot \frac{d i(t)}{d t}=0...(1) \\\\ \text { put } t=0^{+}: \frac{d i\left(0^{+}\right)}{d t}=0 \\\\ 100-10 i\left(0^{+}\right)-\frac{d i\left(0^{+}\right)}{d t}=100 \quad \text { A/s } \\ \end{gathered} \\ $

Differentiating …