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In the network shown in Fig. 4-43 the two current sources provide I 0 and I 00 where I 0 I 00 I. superposition to obtain these currents. Ans. 1.2 A, 15.0 A, 16.2 A
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Fig. 4-43
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Obtain the current I in the network shown in Fig. 4.44.
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Fig. 4-44 Fig. 4-45
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Obtain the Thevenin and Norton equivalents for the network shown in Fig. 4.45. Ans: V 0 30 V; I 0 5 A; R 0 6 
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Find the maximum power that the active network to the left of terminals ab can deliver to the adjustable resistor R in Fig. 4-46. Ans. 8.44 W
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Fig. 4-46 4.34 Under no-load condition a dc generator has a terminal voltage of 120 V. When delivering its rated current of 40 A, the terminal voltage drops to 112 V. Find the Thevenin and Norton equivalents. Ans: V 0 120 V; I 0 600 A; R 0 0:2  The network of Problem 4.14 has been redrawn in Fig. 4-47 and terminals a and b added. Reduce the network to the left of terminals ab by a Thevenin or Norton equivalent circuit and solve for the current I. Ans: 8:77 A
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Fig. 4-47 4.36 Node Voltage Method. In the circuit of Fig. 4-48 write three node equations for nodes A, B, and C, with node D as the reference, and nd the node voltages. 8 5VA 2VB 3VC 30 > Node A: < Ans: from which VA 17; VB 9; VC 12:33 all in V Node B: VA 6VB 3VC 0 > : Node C: VA 2VB 3VC 2
Fig. 4-48 4.37 In the circuit of Fig. 4-48 note that the current through the 3- resistor is 3 A giving rise to VB 9 V. Apply KVL around the mesh on the upper part of the circuit to nd current I coming out of the voltage source, then nd VA and VC . Ans: I 1=3 A; VA 17 V; VC 37=3 V Superposition. In the circuit of Fig. 4-48 nd contribution of each source to VA , VB , VC , and show that they add up to values found in Problems 4.36 and 4.37. Contribution of the voltage source: Ans. Contribution of the 1 A current source: Contribution of the 2 A current source: Contribution of all sources: 4.39 VA 3 VA 6 VA 8 VA 17 VB 0 VB 3 VB 6 VB 9 VC 1 VC 4 VC 28=3 VC 37=3 (All in V)
In the circuit of Fig. 4-48 remove the 2-A current source and then nd the voltage Vo:c: between the opencircuited nodes C and D. Ans: Vo:c: 3 V Use the values for VC and Vo:c: obtained in Problems 4.36 and 4.39 to nd the Thevenin equivalent of the circuit of Fig. 4-48 seen by the 2-A current source. Ans: VTh 3 V; RTh 14=3  In the circuit of Fig. 4-48 remove the 2-A current source and set the other two sources to zero, reducing the circuit to a source-free resistive circuit. Find R, the equivalent resistance seen from terminals CD, and note that the answer is equal to the Thevenin resistance obtained in Problem 4.40. Ans: R 14=3 
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Find Thevenin equivalent of the circuit of Fig. 4-49 seen from terminals AB. ans: VTh 12 V; RTh 17 
Fig. 4-49 Fig. 4-50
Loop Current Method. In the circuit of Fig. 4-50 write three loop equations using I1 , I2 , and I3 . the currents. 8 4I1 2I2 I3 3 > Loop 1: < Loop 2: 2I1 5I2 I3 2 From which I1 32=51; I2 9=51; I3 7=51 all in A Ans: > : Loop 3: I1 2I2 2I3 0
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