Question 1-) For the circuit shown below \( \mathrm{V}_{\mathrm{s}}=6 \mathrm{~V} \), IS1 \( =3 \mathrm{~A}, \mathrm{IS} 2=0.08 \cos (5 \mathrm{t}), \mathrm{V} 2=2 \mathrm{i}_{2}{ }^{2}+4 \mathrm{i}_{1} \mathrm{~V}_{1} \) , \( \mathrm{i}_{1}=\mathrm{V} 1 / 8-\mathrm{V} 2 / 8 \)
a) Find the operating points of V1, \( i_{1}, V 2, i_{2} \). (Take the positive root as the solution of the second degree equation.
b) Make small signal analysis and approximate solutions \( \mathrm{V}_{\mathrm{n}}(\mathrm{t})=\mathrm{V}_{\mathrm{nQ}}+\mathrm{V}_{\mathrm{n}}(\mathrm{t}) \) and \( \mathrm{i}_{\mathrm{n}}(\mathrm{t})=\mathrm{I}_{\mathrm{nQ}}+ \) \( \mathrm{i}_{\mathrm{n}}(\mathrm{t})(\mathrm{n}=1,2) \)