(Solved): Question 3 (24\%) The circuit shown in Figure 3 has two inputs, vs and is, and one output, v ...

Question 3 (24\%) The circuit shown in Figure 3 has two inputs, $$v_s$$ and $$i_s$$, and one output, $$v_0$$. The output is related to the inputs by the equation $$v_0=a{i}_s+b{v}_s$$, where $$a$$ and $$b$$ are constants to be determined. Determine the values $$a$$ and $$b$$ by 1) writing and solving mesh equations and $$(9\%)$$ 2) writing and solving node equations. $$(7\%)$$ 3) If $$v_s=32\mathrm{V}$$, and $$i_s=1A$$, please determine the current of each resistor. (8\%)