Homework 8Due: Monday, September 121Consider the circuit of Figure 1.(a) Write two node equations in terms of the literal variables in Figure 1 and putthem in matrix form.(b) Solve the node equations for the voltages VAand VBwhen Is1= 0.5 A, Is2= 1A, gm1= 35 mS, gm2= 10 mS, G1= 2 mS, G2= 3 mS, and G3= 1 S.(c) Determine V0.(d) Determine the power delivered by each source. (Be careful of the sign.)Friday, September 9, 2011Figure 1: Model circuits for Problem 1.2Consider the circuit of Figure 2. By choosing node C as the reference node, weeliminate a floating voltage source. Write an appropriate set of nodal equations,with node C as the reference node. Solve the nodal equations, specify the voltages1VAC, VBC, VDC, and VAB, and the power delivered by the sources. Finally, findthe equivalent resistance seen by the current source. Let R1= 4 kΩ, R2= 6 kΩ,R3= 2 kΩ, R4= 3 kΩ, rm= 1 kΩ, and Is= 60 mA.Friday, September 9, 2011Figure 2: Model circuit for Problem 2.3In the circuit of Figure 3, R1= 80 Ω, R2= 10Ω, and µ = 0.75. If Vin= 10 V, findIin, the power delivered by the independent and dependent voltage sources, and theequivalent resistance, Req, seen by the independent source.Figure 3: Model circuit for Problem
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