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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.1
Irwin, Basic Engineering Circuit Analysis, 10/E 1
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.2
2 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.3
Irwin, Basic Engineering Circuit Analysis, 10/E 3
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.4
4 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solution : 
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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.5
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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.5
6 Irwin, Basic Engineering Circuit Analysis, 10/E
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.6
Irwin, Basic Engineering Circuit Analysis, 10/E 7
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.6
8 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.7
Irwin, Basic Engineering Circuit Analysis, 10/E 9
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.7
10 Irwin, Basic Engineering Circuit Analysis, 10/E 
11
12
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.9
Irwin, Basic Engineering Circuit Analysis, 10/E 13
Solu�on:
14 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
 
SOLUTION: 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.10 
Irwin, Basic Engineering Circuit Analysis, 10/E 15 
Problem 3.10 Chapter 3: Nodal and Loop Analysis Techniques 
 
 
16 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
 
SOLUTION: 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.11 
Irwin, Basic Engineering Circuit Analysis, 10/E 17 
Problem 3.11 Chapter 3: Nodal and Loop Analysis Techniques 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.12
18 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.12
Irwin, Basic Engineering Circuit Analysis, 10/E 19
0 20 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 21
22 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
 
SOLUTION: 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.14 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.15
Irwin, Basic Engineering Circuit Analysis, 10/E 23
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.15
24 Irwin, Basic Engineering Circuit Analysis, 10/E 
25
26 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 27
28 Irwin, Basic Engineering Circuit Analysis, 10/E
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.18
Irwin, Basic Engineering Circuit Analysis, 10/E 29
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.18
30 Irwin, Basic Engineering Circuit Analysis, 10/E 
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34 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E3 35
36 Irwin, Basic Engineering Circuit Analysis, 10/E
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.21
Irwin, Basic Engineering Circuit Analysis, 10/E 37
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.21
38 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis TechniquesProblem 3.21
Irwin, Basic Engineering Circuit Analysis, 10/E 39
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.22
40 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.23
Irwin, Basic Engineering Circuit Analysis, 10/E 41 
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.23
42 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.24
Irwin, Basic Engineering Circuit Analysis, 10/E 43
SOLUTION:
44 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis,10E 45 
46 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 47
48 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 49
50 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
 
SOLUTION: 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.28 
Irwin, Basic Engineering Circuit Analysis, 10/E 51 
Problem 3.28 Chapter 3: Nodal and Loop Analysis Techniques 
 
 
 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.29
52 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.29
Irwin, Basic Engineering Circuit Analysis, 10/E 53
54 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
 
SOLUTION: 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.30 
Irwin, Basic Engineering Circuit Analysis, 10/E 55 
Problem 3.30 Chapter 3: Nodal and Loop Analysis Techniques 
 
 
 
 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.31
56 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.32
Irwin, Basic Engineering Circuit Analysis, 10/E 57 
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.32
58 Irwin, Basic Engineering Circuit Analysis, 10/E 
59
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.34
60 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.34
Irwin, Basic Engineering Circuit Analysis, 10/E 61
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.34
62 Irwin, Basic Engineering Circuit Analysis, 10/E 
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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.36
Irwin, Basic Engineering Circuit Analysis, 10/E 65
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.36
66 Irwin, Basic Engineering Circuit Analysis, 10/E 
67
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.38
68 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.38
Irwin, Basic Engineering Circuit Analysis, 10/E 69
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.38
70 Irwin, Basic Engineering Circuit Analysis, 10/E 
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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.40
Irwin, Basic Engineering Circuit Analysis, 10/E 73
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.40
74 Irwin, Basic Engineering Circuit Analysis, 10/E 
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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.43
Irwin, Basic Engineering Circuit Analysis, 10/E79
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.43
80 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.43
Irwin, Basic Engineering Circuit Analysis, 10/E 81
82 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 83
84 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
SOLUTION: 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.45 
Irwin, Basic Engineering Circuit Analysis, 10/E 85 
Problem 3.45 Chapter 3: Nodal and Loop Analysis Techniques 
 
 
 
 
 
 
 
86 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
SOLUTION: 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.46 
Irwin, Basic Engineering Circuit Analysis, 10/E 87 
 
SOLUTION: 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.47 
88 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
 
 
 
 
Problem 3.47 Chapter 3: Nodal and Loop Analysis Techniques 
Irwin, Basic Engineering Circuit Analysis, 10/E 89
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.47 
 
90 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
SOLUTION: 
 
 
 
 
 
 
 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.48 
Irwin, Basic Engineering Circuit Analysis, 10/E 91 
Problem 3.48 Chapter 3: Nodal and Loop Analysis Techniques 
 
92 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
SOLUTION: 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.49 
Irwin, Basic Engineering Circuit Analysis, 10/E 93 
Problem 3.49 Chapter 3: Nodal and Loop Analysis Techniques 
 
 
 
 
 
 
 
 
94 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 95
96 Irwin, Basic Engineering Circuit Analysis, 10/E
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98 Irwin, Basic Engineering Circuit Analysis, 10/E
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Irwin, Basic Engineering Circuit Analysis, 10/E 101
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.53
102 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.53
Irwin, Basic Engineering Circuit Analysis, 10/E 103
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.54
104 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.54
Irwin, Basic Engineering Circuit Analysis, 10/E 105
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.55
106 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.55
Irwin, Basic Engineering Circuit Analysis, 10/E 107
108 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
SOLUTION: 
 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.56 
109Irwin, Basic Engineering Circuit Analysis, 10/E
110 Irwin, Basic Engineering Circuit Analysis, 10/E
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.58
Irwin, Basic Engineering Circuit Analysis, 10/E 111
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.59
112 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.60
Irwin, Basic Engineering Circuit Analysis, 10/E 113
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.61
114 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solu�on:
115Irwin, Basic Engineering Circuit Analysis, 10/E
116 Irwin, Basic Engineering Circuit Analysis, 10/E
Chapter 3: Nodal and Loop Analysis TechniquesProblem 3.63
Irwin, Basic Engineering Circuit Analysis, 10/E 117
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.63
118 Irwin, Basic Engineering Circuit Analysis, 10/E 
119Irwin, Basic Engineering Circuit Analysis, 10/E
120 Irwin, Basic Engineering Circuit Analysis, 10/E
121Irwin, Basic Engineering Circuit Analysis, 10/E
122 Irwin, Basic Engineering Circuit Analysis, 10/E
123Irwin, Basic Engineering Circuit Analysis, 10/E
124 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 125 
 
SOLUTION: 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.67 
126 Irwin, Basic Engineering Circuit Analysis, 10/E 
Problem 3.67 Chapter 3: Nodal and Loop Analysis Techniques 
 
 
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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.68
Irwin, Basic Engineering Circuit Analysis, 10/E 127
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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.68
128 Irwin, Basic Engineering Circuit Analysis, 10/E
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.69
Irwin, Basic Engineering Circuit Analysis, 10/E 129
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.70
130 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.70
Irwin, Basic Engineering Circuit Analysis, 10/E 131
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.71
132 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solution : 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.71
Irwin, Basic Engineering Circuit Analysis, 10/E 133 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.72
134 Irwin, Basic Engineering Circuit Analysis, 10/E 
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.72
Irwin, Basic Engineering Circuit Analysis, 10/E 135
136 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 137
138 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 139
140 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 141
142 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
SOLUTION: 
 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.76 
Irwin, Basic Engineering Circuit Analysis, 10/E 143 
 
 
 
 
 
 
 
 
Problem 3.76 Chapter 3: Nodal and Loop Analysis Techniques 
144 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.76 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.77
Irwin, Basic Engineering Circuit Analysis, 10/E 145
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.77
146 Irwin, Basic Engineering Circuit Analysis, 10/E 
 Irwin, Basic Engineering Circuit Analysis, 10/E 147 
 
SOLUTION: 
 
 
 
 
 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.78 
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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.79
148 Irwin, Basic Engineering Circuit Analysis, 10/E
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.80
Irwin, Basic Engineering Circuit Analysis, 10/E 149
Solu�on:
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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.81
150 Irwin, Basic Engineering Circuit Analysis, 10/E
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.82
Irwin, Basic Engineering Circuit Analysis, 10/E 151
SOLUTION:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.82
152 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.83
Irwin, Basic Engineering Circuit Analysis, 10/E 153
Solu�on:
Chapter 3: Nodal andLoop Analysis Techniques Problem 3.83
154 Irwin, Basic Engineering Circuit Analysis, 10/E 
Irwin, Basic Engineering Circuit Analysis, 10/E 155 
 
SOLUTION: 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.84 
156 Irwin, Basic Engineering Circuit Analysis, 10/E 
Problem 3.84 Chapter 3: Nodal and Loop Analysis Techniques 
 
 
 
 
 
 
 
157Irwin, Basic Engineering Circuit Analysis, 10/E
158 Irwin, Basic Engineering Circuit Analysis, 10/E
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.86
Irwin, Basic Engineering Circuit Analysis, 10/E 159
Solu�on:
a)
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.86
160 Irwin, Basic Engineering Circuit Analysis, 10/E 
b)
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.87
Irwin, Basic Engineering Circuit Analysis, 10/E 161
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.87
162 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.88
Irwin, Basic Engineering Circuit Analysis, 10/E 163
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.88
164 Irwin, Basic Engineering Circuit Analysis, 10/E 
Irwin, Basic Engineering Circuit Analysis, 10/E 165 
 
 
SOLUTION: 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.89 
166 Irwin, Basic Engineering Circuit Analysis, 10/E 
Problem 3.89 Chapter 3: Nodal and Loop Analysis Techniques 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.90
Irwin, Basic Engineering Circuit Analysis, 10/E 167
Solu�on:
168 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
 
SOLUTION: 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.91 
Irwin, Basic Engineering Circuit Analysis, 10/E 169 
Problem 3.91 Chapter 3: Nodal and Loop Analysis Techniques 
 
 
 
 
170 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
 
SOLUTION: 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.92 
Irwin, Basic Engineering Circuit Analysis, 10/E 171 
 
 
 
 
Problem 3.92 Chapter 3: Nodal and Loop Analysis Techniques 
172 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.92 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.93
Irwin, Basic Engineering Circuit Analysis, 10/E 173
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.93
174 Irwin, Basic Engineering Circuit Analysis, 10/E 
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-
-
175Irwin, Basic Engineering Circuit Analysis, 10/E
-
Irwin, Basic Engineering Circuit Analysis, 10/E 176
177Irwin, Basic Engineering Circuit Analysis, 10/E
178 Irwin, Basic Engineering Circuit Analysis, 10/E
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Irwin, Basic Engineering Circuit Analysis, 10/E 179
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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.96
180 Irwin, Basic Engineering Circuit Analysis, 10/E
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Chapter 3: Nodal and Loop Analysis Techniques Problem 3.96
Irwin, Basic Engineering Circuit Analysis, 10/E 181
182 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 183
184 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 185
186 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 187
188 Irwin, Basic Engineering Circuit Analysis, 10/E
Irwin, Basic Engineering Circuit Analysis, 10/E 189
190 Irwin, Basic Engineering Circuit Analysis, 10/E 
 
 
SOLUTION: 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.101 
Irwin, Basic Engineering Circuit Analysis, 10/E 191 
 
 
 
 
 
Problem 3.101 Chapter 3: Nodal and Loop Analysis Techniques 
192 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and LoopAnalysis Techniques Problem 3.101 
 
Irwin, Basic Engineering Circuit Analysis, 10/E 193
 
 
SOLUTION: 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.102 
194 Irwin, Basic Engineering Circuit Analysis, 10/E 
Problem 3.102 Chapter 3: Nodal and Loop Analysis Techniques 
 
 
 
 
 
 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.103
Irwin, Basic Engineering Circuit Analysis, 10/E 195
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.103
196 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.104
Irwin, Basic Engineering Circuit Analysis, 10/E 197
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.104
198 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.105
Irwin, Basic Engineering Circuit Analysis, 10/E 199
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.105
200 Irwin, Basic Engineering Circuit Analysis, 10/E 
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.106
Irwin, Basic Engineering Circuit Analysis, 10/E 201
Solu�on:
Chapter 3: Nodal and Loop Analysis Techniques Problem 3.106
202 Irwin, Basic Engineering Circuit Analysis, 10/E