Find Vo in the circuit in Fig. P3.46 using nodal analysis.

Use nodal analysis to find V1 in the circuit in Fig. P3.1. 10 k 5 k 12 mA 5 k V1 4 k 4 k + Figure P3.1

Find both Io and Vo in the network in Fig. P3.2 using nodal analysis. 6 k 2 mA 3 k 12 k Io 4 mA + Vo Figure P3.2

Find I1 in the network in Fig. P3.3. 6 mA 6 k 12 k 4 k 4 k I1 Figure P3.3

Find I1 in the circuit in Fig. P3.4. 2 mA 4 mA 3 k 4 k 4 mA I1 Figure P3.4

Use nodal analysis to find V1 in the circuit in Fig P3.5. 3 k V1 2 k 2 k 2 k 6 mA 4 mA + Figure P3.5

Find V1 and V2 in the circuit in Fig. P3.6 using nodal analysis. 6 k 3 k 6 k 4 k 6 mA 4 mA V1 + V2 + Figure P3.6

Use nodal analysis to find both V1 and Vo in the circuit in Fig P3.7. 6 k 1 k Vo 3 k 6 k 2 mA 2 k V1 V2 12 mA + Figure P3.7

Write the node equations for the circuit in Fig. P3.8 in matrix form, and find all the node voltages. 2 k 4 k 1 k 3 k 6 mA 3 mA V1 V2 V3 Figure P3.8

Find Vo in the network in Fig. P3.9. 2 k 1 k 1 k 1 k 2 k 2 mA Vo + 1 mA 4 mA Figure P3.9

Find Io in the circuit in Fig. P3.10 using nodal analysis. 2 k 6 k 3 k 8 k 2 mA 1 mA Io Figure P3.10

Use nodal analysis to find Io in the network in Fig. P3.11. 4 k 2 k 4 k 12 k 2 mA 4 mA 6 mA Io Figure P3.11

Use nodal analysis to find Vo in the circuit in Fig. P3.12. 4 k 6 k 3 k 10 V V 12 V o + + + Figure P3.12

Find Vo in the network in Fig. P3.13 using nodal analysis. 12 V 6 k 6 V 6 k 12 k + Vo + + Figure P3.13

Use nodal analysis to find Vo in the circuit in Fig. P3.14. 2 k 4 k 2 k Vo + 12 V + 2 mA Figure P3.14

Find Io in the network in Fig. P3.15 using nodal analysis. 1 k 1 k 2 k 4 mA 6 V 2 mA Io + Figure P3.15

Use nodal analysis to find Vo in the circuit in Fig. P3.16. + + 5 V Vo 6 mA 6 V 2 k 6 k 12 k 3 k + Figure P3.16

Use nodal analysis to find Vo in the network in Fig. P3.17. + 2 k 6 V 6 k 1 k Vo 4 k 2 k 3 mA + Figure P3.17

Use nodal analysis to find Vo in the circuit in Fig. P3.18. + + Vo 12 V 6 k 6 k 4 k 4 k 8 k 8 k 2 k Figure P3.18

Find Vo in the circuit in Fig. P3.19 using nodal analysis. 2 mA 12 V + 2 k 1 k 2 k 1 k Vo + Figure P3.19

Find Vo in the network in Fig. P3.20 using nodal analysis. 4 mA + Vo + 1 k 2 k 12 V 2 k 1 k Figure P3.20

Find Vo in the network in Fig. P3.21 using nodal analysis. 4 mA + Vo + 2 k 2 k 12 V + 4 V 2 k Figure P3.21

Find Io in the circuit in Fig. P3.22 using nodal analysis. 12 V 1 k 1 k 6 V 2 k 4 V + Io + + Figure P3.22

Use nodal analysis to determine the node voltages defined in the circuit in Fig. P3.23. 3 mA 5 mA + 12 V 24 V 2 mS 1 mS 0.5 mS 0.5 mS V1 V2 V3 V4 + Figure P3.23

Use nodal analysis to find Vo in the network in Fig. P3.24. 2 k 2 k 1 k 12 V 1 k 1 k 1 k Vo + + 2 mA Figure P3.24

Use nodal analysis to find Vo in the circuit in Fig. P3.25. + 2 k + 2 mA 6 V Vo 2 k 1 k 1 k 4 mA 12 V 1 k 1 k + Figure P3.25

Use nodal analysis to solve for the node voltages in the circuit in Fig. P3.26. Also calculate the power supplied by the 1-A current source. 6 4 12 1 A 2 A 48 V + Figure P3.26

Find Vo in the network in Fig. P3.27 using nodal equations. + 1 k 1 k 1 k Vo 1 k 2 mA 6 V + Figure P3.27

Find Io in the network in Fig. P3.28 using nodal analysis. Io 4 k 3 k 6 k 2 k 2 mA 12 V + Figure P3.28

Use nodal analysis to find Io in the circuit in Fig. P3.29. Io 2 k 2 k 2 k 2 mA 4 mA 12 V + Figure P3.29

Find Vo in the circuit in Fig. P3.30 using nodal analysis. 12 k 4 k 4 mA 6 mA 12 V + + 9 V 6 k Vo + Figure P3.30

Find Io in the circuit in Fig. P3.31 using nodal analysis. + 6 V 12 k 12 k 6 k 6 k 6 k 6 k Io Figure P3.31

Use nodal analysis to find Io in the circuit in Fig. P3.32. + 6 V 12 k 6 k 12 k 6 k Io 3 V + 3 V + Figure P3.32

Using nodal analysis, find Vo in the network in Fig. P3.33. + 2 k 6 k Vo 4 k 6 V 2 mA 3 V + + Figure P3.33

Find Vo in the network in Fig. P3.34 using nodal analysis. + 4 k Vo 6 k 2 k 3 k 4 k 6 V + 12 V + Figure P3.34

Find Vo in the circuit in Fig. P3.35 using nodal analysis. + 3 k 6 k Vo 6 k 12 k 12 V + Io 6 V + Figure P3.35

Find Vo in the circuit in Fig. P3.36 using nodal analysis. 12 k 12 k 4 k Vo 6 k + 6 V + 2 mA Figure P3.36

Use nodal analysis to find Vo in the circuit in Fig. P3.37. 4 k 6 k Vo 6 k + 12 V 6 V + + 6 mA Figure P3.37

Find Vo in the circuit in Fig. P3.38 using nodal analysis. Vo + 12 k 12 k 4 k 6 k 4 k 2 k 6 V + 6 V + Figure P3.38

Find Vo in the circuit in Fig. P3.39 using nodal analysis. 1 k 1 k Vo 2 k 1 k + 12 V + + 6 V Figure P3.39

Use nodal analysis to find Vo in the circuit in Fig. P3.40. Vo + 6 k 6 k 6 k 6 k 6 k 12 V + Figure P3.40

Find Vo in the network in Fig. P3.41. + + 2 k 4 V + + 12 V 6 V Vo 2 k 1 k 1 k 2 k 2 V 1 k + Figure P3.41

Find Io in the network in Fig. P3.42 using nodal analysis. 1 k 1 k 2 k Io + 12 V + 2 Vx Vx + Figure P3.42

Find Vo in the network in Fig. P3.43 using nodal analysis. 1 k 12 V Vo 2 k 1 k + Vo 2 + + Figure P3.43

Find Io in the network in Fig. P3.44 using nodal analysis. 1 k 1 k Io Ix + 12 V + 4 kIx 2 mA Figure P3.44

Find Vo in the network in Fig. P3.45 using nodal analysis. 1 k 1 k 2 k 2 k Vo + + 2 Vo 2 mA Figure P3.45

Find Vo in the circuit in Fig. P3.46 using nodal analysis. 1 k 1 k 1 k 1 k Vo + Ix + 12 V 4 Ix Figure P3.46

Find Io in the network in Fig. P3.47 using nodal analysis. + 6 V 1 k 1 k Vx + Io 1 k + 4 Vx 2 mA Figure P3.47

Use nodal analysis to find Vo in the circuit in Fig. P3.48. 12 k 4 k 8 k Vo 6 k + Vx + 10 Vx 12 mA + Figure P3.48

Find Vo in the network in Fig. P3.49 using nodal analysis. 12 V + 1 k 1 k 1 k 1 k Vo + 2 Io Io Figure P3.49

Find Vo in the network in Fig. P3.50 using nodal analysis. Vo + 2 Ix 12 V 1 k 1 k Ix 1 k + 2 mA Figure P3.50

Find Vo in the circuit in Fig. P3.51. 1 k 2 k 2 mA 1 k Vo 1 k + Vx + 2Vx 1000 Figure P3.51

Use nodal analysis to find Vo in the circuit in Fig. P3.52. In addition, find all branch currents and check your answers using KCL at every node. + + 12 k 2 k 6 V 4 k 2 mA 4 k Vo + 2000Ix Ix Figure P3.52

Determine Vo in the network in Fig. P3.53 using nodal analysis. + 2 mA 1 k Vo I 1 k x 1 k 1 k 1 k 2Ix 12 V + Figure P3.53

Use nodal analysis to find Vo in the circuit in Fig. P3.54. Vo 4 Ix 12 V 1 k 1 k 1 k Ix 2 mA + Vx + + 2 Vx Figure P3.54

Use nodal analysis to find Vo in the circuit in Fig. P3.55. 4 mA 6 V + + 2 Vx Vx + Vo + 1 k 1 k 1 k 1 k 1 k Figure P3.55

Find Io in the circuit in Fig. P3.56 using nodal analysis. 6 k 2 k 6 k 6 mA Vx 4 k 2 k 5 k + Io 103 Vx Ix + 3000 Ix Figure P3.56

Use nodal analysis to solve for IA in the network in Fig. P3.57. 5 IA 2 A 5 A + + 12 4 3 8 5 V1 IA V4 V5 V3 V2 18 V Figure P3.57

Use nodal analysis to find Vo in the circuit in Fig. P3.58. 12 V + + 2 Vx Vx + Vo + 4 mA 2 mA 1 k 1 k 1 k 1 k 1 k 1 k Figure P3.58

Use nodal analysis to find V1, V2, V3, and V4 in the network in Fig. P3.59. 8 4 10 5 2 20 V V1 V2 V3 V4 Vx 2 Vx 4 Ix 10 A 6 A + + + Ix Figure P3.59

Determine Vo in the network in Fig. P3.60 using nodal analysis. + 2 mA 1 k Vo Ix 1 k 1 k 1 k 1 k 2Ix 12 V + Figure P3.60

Use nodal analysis to find V1, V2, V3, and V4 in the circuit in Fig. P3.61. 1 6 8 4 10 12 V V1 V2 V4 2 VA V3 VA 3 A + + + 4 A Figure P3.61

Use nodal analysis to determine the node voltages defined in the circuit in Fig. P3.62. 5 A + 12 V V4 V5 V1 V2 V3 4 IA 6 9 3 7 IA VA 12 + + 2 VA Figure P3.62

Use nodal analysis to determine the node voltages defined in the circuit in Fig. P3.63. + 12 V 2 Ix Vx + + 0.5 Vx V2 V1 V4 V5 V3 5 3 A 4 6 3 8 Ix Figure P3.63

Use nodal analysis to determine the node voltages defined in the circuit in Fig. P3.64. 3 A 5 3 4 A 8 4 6 12 V + + 3Ix Ix 2Vx V1 V2 V3 Vx + V4 Figure P3.64

Find Io in the network in Fig. P3.65 using mesh analysis. + + 6 V 6 k 24 V 6 k 4 k Io Figure P3.65

Find Vo in the network in Fig. P3.66 using mesh analysis. + + 4 k 4 k Vo 4 V 12 V 4 k + Figure P3.66

Find Vo in the network in Fig. P3.67 using mesh equations. + 2 k 2 k 2 k Vo 4 V + 12 V + Figure P3.67

Find Io in the circuit in Fig. P3.68 using mesh analysis. + + 4 k 4 k 2 k 2 k 6 V 24 V Io Figure P3.68

Use mesh analysis to find Vo in the circuit in Fig. P3.69. + + + Vo 12 V 24 V 6 k 4 k 8 k 4 k Figure P3.69

Find Io in the circuit in Fig. P3.70 using mesh analysis. Io 3 k 3 k 2 mA 3 V 6 k + Figure P3.70

Use mesh analysis to find Vo in the network in Fig. P3.71. + 12 V 3 k 6 k 2 mA Vo 2 k + Figure P3.71

Find Io in the circuit in Fig. P3.72. + 3 V Io + + 3 V 6 k 12 k 6 k 12 k 6 V Figure P3.72

Find Vo in the circuit in Fig. P3.73 using mesh analysis. + Vo 6 V 1 k 1 k 12 V 2 k 1 k + + Figure P3.73

Find Vo in Fig. P3.74 using mesh analysis. 1 k 1 k 12 V + 1 k 2 k + 6 V Vo + Figure P3.74

Use loop analysis to find Vo in the network in Fig. P3.75. + 1 k 2 mA 1 k Vo 2 k 2 k 12 V + Figure P3.75

Find Io in Fig. P3.76 using mesh analysis. + 2 mA 12 V 3 k 6 k 2 k Io Figure P3.76

Find Vo in the network in Fig. P3.77 using loop analysis. 1 k 2 k 2 k 2 k 1 k 6 V 4 mA 6 mA + + Vo Figure P3.77

Find Io in the circuit in Fig. P3.78 using loop analysis. 2 mA 2 k 1 k 4 mA 2 k 6 V Io + Figure P3.78

Find Vo in the circuit in Fig. P3.79 using mesh analysis. 3 k 2 k 4 k 12 V 8 mA 6 k + Vo + Figure P3.79

Use mesh analysis to find Vo in the circuit in Fig. P3.80. Vo 2 k 4 k 4 k 8 k 8 k + 6 V + 2 mA Figure P3.80

Use mesh analysis to find Io in the network in Fig. P3.81. 3 k 3 k 2 k 1 k 2 k 4 mA 12 V Io + Figure P3.81

Use loop analysis to find Vo in the circuit in Fig. P3.82. + 1 k 2 k 1 k 1 k 1 k 2 mA 6 V + 12 V Vo + Figure P3.82

Use loop analysis to calculate the power supplied by the 20-V voltage source in the circuit in Fig. P3.83. 5 5 20 10 2 A + 20 V Figure P3.83

Use loop analysis to find Io and I1 in the network in Fig. P3.84. 4 k 2 k 3 k 6 k 12 mA Io I1 + 12 V Figure P3.84

Find Vo in the network in Fig. P3.85 using loop analysis. Vo + 2 k 1 k 2 k 4 mA 2 mA 4 V 6 V 1 k + + Figure P3.85

Find Vo in the circuit in Fig. P3.86 using loop analysis. Vo + 2 k 2 k 4 mA 6 mA 6 V 4 V 1 k 1 k + + Figure P3.86

Find Io in the network in Fig. P3.87 using loop analysis. + 1 k 1 k 1 k 1 k 6 mA 12 V Io Figure P3.87

Find Io in the network in Fig. P3.88 using loop analysis. + 5 mA 6 k 6 k 6 k 6 k 6 V Io Figure P3.88

Use loop analysis to find Vo in the circuit in Fig. P3.89. + 6 mA 12 k 12 k 6 k 12 V 2 mA + Vo Figure P3.89

Using loop analysis, find Vo in the network in Fig. P3.90. + 2 k 1 k Vo 2 k 1 k 6 V 4 mA 12 V 1 k + + Figure P3.90

Find Io in the circuit in Fig. P3.91 using mesh analysis. + 6 k 2 k 2 k 2 mA 1 mA 2 k 4 k Io 6 V Figure P3.91

Use loop analysis to find Io in the network in Fig. P3.92. 1 k 1 k 1 k 2 mA 4 mA 1 k 1 k 1 k Io 12 V + Figure P3.92

Using loop analysis, find Io in the circuit in Fig. P3.93. + 4 mA 2 mA 1 k 1 k 12 V 1 k 1 k 1 k 1 k 1 k 1 k Io Figure P3.93

Find the mesh currents in the network in Fig. P3.94. + 1 k 1 k 1 k 2 mA 2 k 2 k 2 k 12 V + 6 V I3 I4 1 k I1 I2 I5 Figure P3.94

Using loop analysis, find Vo in the circuit in Fig. P3.95. + + 1 k 1 k 2 k 12 V 1 k 6 V 2 k Vo 6 mA + Figure P3.95

Using loop analysis, find Vo in the network in Fig. P3.96. + 2 k + 2 mA 6 V Vo 2 k 1 k 1 k 4 mA 12 V 1 k 1 k + Figure P3.96

Find Io in the circuit in Fig. P3.97 using loop analysis. 2 mA 6 mA 6 V 1 k 1 k 2 k 1 k 1 k 4 mA + Io Figure P3.97

Find Io in the network in Fig. P3.98 using loop analysis. 6 mA 2 k 1 k 1 k 1 k 2 mA 4 mA 6 V 12 V + + Io Figure P3.98

Find Vo in the circuit in Fig. P3.99 using loop analysis. 2 k 1 k 2 k 1 k 1 k 2 mA 4 mA 4 mA 6 V 4 V 2 mA + Vo + + Figure P3.99

Use nodal analysis to find Vo in Fig. P3.100. 3 mA 10 k 10 k Vo 2Ix Ix + Figure P3.100

Find Vo in the circuit in Fig. P3.101 using nodal analysis. + + 1 k 1 k 2 k Vo 12 V + Vo 2 Figure P3.101

Use loop analysis to find Vo in the network in Fig. P3.102. 4 k 2 k 2 k Vo 12 V 2 Ix + Ix + Figure P3.102

Use nodal analysis to find Vo in the network in Fig. P3.103. + 1 k 1 k 1 k 1 k Vo 12 V + Vo 2 k Figure P3.103

Find Vo in the network in Fig. P3.104 using nodal analysis. + 10 k 4000 4 mA 10 k Vo Ix 10 k Ix + Figure P3.104

Find the power supplied by the 2-A current source in the network in Fig. P3.105 using loop analysis. + 4 2Ix 5 2 A Ix 10 V 4 Figure P3.105

Find Io in the network in Fig. P3.106 using nodal analysis. + 2 k 2 k 4 k 12 k 12 mA 4000Ix Ix Io Figure P3.106

Find Vo in the circuit in Fig. P3.107 using loop analysis. + Ix 1 k 1 k 1 k 1 k Vo 12 V + Ix Figure P3.107

Use mesh analysis to find Vo in the circuit in Fig. P3.108. + 6 mA 6 Vx 8 k 12 k 4 k 12 k Vo + Vx + Figure P3.108

Using mesh analysis, find Vo in the circuit in Fig. P3.109. 4 k 4 k 6 mA Vx Vo + 2 k 4 k + Vx 4000 Figure P3.109

Find Vo in the circuit in Fig. P3.110 using nodal analysis. + 2 kIx 1 k 1 k 1 k 1 k Vo + 12 V Ix + Figure P3.110

Find Vx in the circuit in Fig. P3.111. + Vx 4 k 6 k 4 k 2 k 2 k 10 mA 2 Vx + Figure P3.111

Find Io in the circuit in Fig. P3.112. 5 k 8 k 8 k 4 k 6 k 12 V 5 V Ix + Io 20 Ix + Figure P3.112

Write mesh equations for the circuit in Fig. P3.113 using the assigned currents. 2 5 4 0.5Vx 2 A 4 Vx + 12 V + 20 V I1 I2 I3 I4 + Figure P3.113

Find Ix in the circuit in Fig. P3.114 using loop analysis. Vx 2 k 2 mA 1 k 1 k Ix + Vx + Ix Figure P3.114

Solve for the mesh currents defined in the circuit in Fig. P3.115. 1 2 A 2 8 2 4 VA + 5 3IA 2VA I4 + 9 V + I2 I1 I3 IA Figure P3.115

Solve for the assigned mesh currents in the network in Fig. P3.116. + + + 8 6 5 4 4 40 V 25 V 4 A I1 IA I2 2 IA I3 I4 Figure P3.116

Using the assigned mesh currents shown in Fig. P3.117, solve for the power supplied by the dependent voltage source. + + 5 8 3 4 12 2 A 5 A 18 V I1 5 IA I2 I4 I3 IA Figure P3.117

Find Vo in the network in Fig. P3.118. 1 k 1 k 1 k 1 k 4 mA 12 mA Vo Vx + + 1 k 1 k Vx 1000 Figure P3.118

Using loop analysis, find Vo in the circuit in Fig. P3.119. 1 k Vo 2 mA 2 k 1 k 1 k 2 k + 12 V + Vx + 2Vx + Figure P3.119

Using loop analysis, find Vo in the circuit in Fig. P3.120. + 2 mA 1 k Vo I 1 k x 1 k 1 k 1 k 2Ix 12 V + Figure P3.120

Using loop analysis, find Vo in the network in Fig. P3.121. + + 4 mA 1 k 2 k 12 V 1 k 1 k 1 k 2Vo Vo + Figure P3.121

Using loop analysis, find Vo in the circuit in Fig. P3.122. + + 2 k 2 k Vx 1 k Vo 2Vx 12 V 1 k 1 k 2 k 1 k 1 k 4 mA + + Figure P3.122

Using loop analysis, find Io in the network in Fig. P3.123. + + 1 k 1 k 1 k 1 k 1 k 1 k 12 V 1 k 2Vx Ix Vx 2Ix Io 2 mA + Figure P3.123

Use loop analysis to find Io in the circuit in Fig. P3.124. 2 Ix 2 Vx 1 k 1 k 1 k I I x o 6 V + + Vx + Figure P3.124

Find Vo in the circuit in Fig. P3.125 using loop analysis. 2 mA 1 k 1 k 2 k 2 k 1 k Ix Vx Vo + + 2 Vx 2 Ix + 4 mA Figure P3.125

Using loop analysis, find Io in the circuit in Fig. P3.126. + + 1 k 1 k 1 k 6 mA 1 k 1 k 1 k 1 k Io 2I Vx 2Vx x Ix + 12 V Figure P3.126

Use mesh analysis to determine the power delivered by the independent 3-V source in the network in Fig. P3.127. + + 100 40 mA 200 100 600 Vx 300 6 Vx 3 V + Figure P3.127

Use mesh analysis to find the power delivered by the current-controlled voltage source in the circuit in Fig. P3.128. + 32 6 Vx 3 A 6 1 15 Ix Ix Vx 8 + Figure P3.128

Use nodal analysis to find Vo in the circuit in Fig. P3.129. + + 2 k 2 k Vx 1 k Vo 2Vx 12 V 1 k 1 k 2 k 1 k 1 k 4 mA + + Figure P3.129

Find Io in the network in Fig. P3.130 using nodal analysis. + + 1 k 1 k 1 k 6 mA 1 k 1 k 1 k 1 k Io Vx 2Ix 2Vx Ix + 12 V Figure P3.130