Answer:

The above network can be considered as cascade connection of two networks $N_1$ and $N_2$.

The network $N_1$consists of $2 \Omega $ resistor , $2H$ inductor and $2F$ capacitor.

Applying KVL to mesh 1 of network $N_1$,

$V_1=\bigg(2+\dfrac{1}{2s}\bigg)I_1+\dfrac{1}{2s}I_2$.............................(1)

Applying KVL to mesh 2 ,

$V_2=\dfrac{1}{2s}I_1+\bigg(2s+\dfrac{1}{2s}\bigg)I_2$.............................(2)

From (2) we have …