Homework 8 Due Monday September 12 1 Consider the circuit of Figure 1 a Write two node equations in terms of the literal variables in Figure 1 and put them in matrix form b Solve the node equations for the voltages VA and VB when Is1 0 5 A Is2 1 A 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 Figure 1 Model circuits for Problem 1 2 Consider the circuit of Figure 2 By choosing node C as the reference node we eliminate a floating voltage source Write an appropriate set of nodal equations with node C as the reference node Solve the nodal equations specify the voltages 1 Friday September 9 2011 VAC VBC VDC and VAB and the power delivered by the sources Finally find the equivalent resistance seen by the current source Let R1 4 k R2 6 k R3 2 k R4 3 k rm 1 k and Is 60 mA Figure 2 Model circuit for Problem 2 3 In the circuit of Figure 3 R1 80 R2 10 and 0 75 If Vin 10 V find Iin the power delivered by the independent and dependent voltage sources and the equivalent resistance Req seen by the independent source Friday September 9 2011 Figure 3 Model circuit for Problem 3 2
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