Question

Use the node-voltage method to find the steady-state expression for vo(t) in the circuit in (Figure 1) if
vg1= 10 sin(400t+143.13∘)V,
vg2= 18.03cos(400t+33.69∘)V.
Write the steady-state expression for vo(t) as vo=Vocos(ωt+ϕ), where −180∘<ϕ≤180∘.

Find the numerical value of Vo.

Find the numerical value of ϕ.

Find the numerical value of ω.

50 mH 1500

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Answer #1

v9, = losin ( 400t +143.13)v - sino = cos(90-0) = 10 Cos (90-1400t +143-13-)) = 10 cos(40-400t – 142-13) = 10 cos(-400t - 53.Apply nodal analysis at node vo Vo - (0.53.13 vo-1015313 + + los V + V6 - 18.03 |33.69 - 50 150 jzo jo.03( vo-10[53-15) +0.00

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