The network $\mathrm{N}$ in given figure consists only of two elements: a resistor of $1 \; \Omega$ and an inductor of $\text{L}$ Henry. A $5 \mathrm{~V}$ source is connected at the input at $t=0$ seconds. The inductor current is zero at $t=0$. The output voltage is found to be $5 e^{-3t} \mathrm{V}$, for $t>0$.
- Find the voltage transfer function of the network.
- Find $\text{L}$, and draw the configuration of the network.
- Find the impulse response of the network.