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Irwin, Basic Engineering Circuit Analysis, 9/E 1 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.1 3k 3.1 Figure P3.1 P3.1 Ch03.indd 1Ch03.indd 1 12/22/08 4:40:33 PM12/22/08 4:40:33 PM Irwin, Basic Engineering Circuit Analysis, 9/E 2 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.1 Ch03.indd 2Ch03.indd 2 12/22/08 4:40:35 PM12/22/08 4:40:35 PM Irwin, Basic Engineering Circuit Analysis, 9/E 3 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.2 Ch03.indd 3Ch03.indd 3 12/22/08 4:40:36 PM12/22/08 4:40:36 PM Irwin, Basic Engineering Circuit Analysis, 9/E 4 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.3 3.3 Figure P3.3 P3.3 Ch03.indd 4Ch03.indd 4 12/22/08 4:40:36 PM12/22/08 4:40:36 PM Irwin, Basic Engineering Circuit Analysis, 9/E 5 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.3 Ch03.indd 5Ch03.indd 5 12/22/08 4:40:37 PM12/22/08 4:40:37 PM Irwin, Basic Engineering Circuit Analysis, 9/E 6 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.4 Ch03.indd 6Ch03.indd 6 12/22/08 4:40:37 PM12/22/08 4:40:37 PM Irwin, Basic Engineering Circuit Analysis, 9/E 7 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.4 Ch03.indd 7Ch03.indd 7 12/22/08 4:40:37 PM12/22/08 4:40:37 PM Irwin, Basic Engineering Circuit Analysis, 9/E 8 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.5 3.5 Figure P3.5 P3.5. Ch03.indd 8Ch03.indd 8 12/22/08 4:40:38 PM12/22/08 4:40:38 PM Irwin, Basic Engineering Circuit Analysis, 9/E 9 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.5 Ch03.indd 9Ch03.indd 9 12/22/08 4:40:38 PM12/22/08 4:40:38 PM Irwin, Basic Engineering Circuit Analysis, 9/E 10 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.6 3.6 Figure P3.6 P3.6. Ch03.indd 10Ch03.indd 10 12/22/08 4:40:39 PM12/22/08 4:40:39 PM Irwin, Basic Engineering Circuit Analysis, 9/E 11 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.7 Ch03.indd 11Ch03.indd 11 12/22/08 4:40:39 PM12/22/08 4:40:39 PM Irwin, Basic Engineering Circuit Analysis, 9/E 12 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.7 Ch03.indd 12Ch03.indd 12 12/22/08 4:40:39 PM12/22/08 4:40:39 PM Irwin, Basic Engineering Circuit Analysis, 9/E 13 2 k 1O Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.8 3.8 Figure P3.8 P3.8. Ch03.indd 13Ch03.indd 13 12/22/08 4:40:40 PM12/22/08 4:40:40 PM Irwin, Basic Engineering Circuit Analysis, 9/E 14 Vo Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.9 3.9 Figure P3.9 P3.9. Ch03.indd 14Ch03.indd 14 12/22/08 4:40:40 PM12/22/08 4:40:40 PM Irwin, Basic Engineering Circuit Analysis, 9/E 15 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.10 3.10 Figure P3.10 P3.10 Ch03.indd 15Ch03.indd 15 12/22/08 4:40:41 PM12/22/08 4:40:41 PM Irwin, Basic Engineering Circuit Analysis, 9/E 16 6 k 4 k Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.11 3.11 Figure P3.11 P3.11. Ch03.indd 16Ch03.indd 16 12/22/08 4:40:42 PM12/22/08 4:40:42 PM Irwin, Basic Engineering Circuit Analysis, 9/E 17 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.11 Ch03.indd 17Ch03.indd 17 12/22/08 4:40:42 PM12/22/08 4:40:42 PM Irwin, Basic Engineering Circuit Analysis, 9/E 18 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.12 3.12 Figure P3.12 P3.12 Ch03.indd 18Ch03.indd 18 12/22/08 4:40:43 PM12/22/08 4:40:43 PM Irwin, Basic Engineering Circuit Analysis, 9/E 19 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.12 Ch03.indd 19Ch03.indd 19 12/22/08 4:40:44 PM12/22/08 4:40:44 PM Irwin, Basic Engineering Circuit Analysis, 9/E 20 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.13 3.13 Figure P3.13 P3.13. Ch03.indd 20Ch03.indd 20 12/22/08 4:40:45 PM12/22/08 4:40:45 PM Irwin, Basic Engineering Circuit Analysis, 9/E 21 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.13 Ch03.indd 21Ch03.indd 21 12/22/08 4:40:46 PM12/22/08 4:40:46 PM Irwin, Basic Engineering Circuit Analysis, 9/E 22 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.14 3.14 Figure P3.14 P3.14 Ch03.indd 22Ch03.indd 22 12/22/08 4:40:47 PM12/22/08 4:40:47 PM Irwin, Basic Engineering Circuit Analysis, 9/E 23 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.14 Ch03.indd 23Ch03.indd 23 12/22/08 4:40:48 PM12/22/08 4:40:48 PM Irwin, Basic Engineering Circuit Analysis, 9/E 24 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.15 3.15 Figure P3.15 P3.15 Ch03.indd 24Ch03.indd 24 12/22/08 4:40:48 PM12/22/08 4:40:48 PM Irwin, Basic Engineering Circuit Analysis, 9/E 25 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.15 Ch03.indd 25Ch03.indd 25 12/22/08 4:40:49 PM12/22/08 4:40:49 PM Irwin, Basic Engineering Circuit Analysis, 9/E 26 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.16 3.16 Figure P3.16 P3.16. Ch03.indd 26Ch03.indd 26 12/22/08 4:40:50 PM12/22/08 4:40:50 PM Irwin, Basic Engineering Circuit Analysis, 9/E 27 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.16 Ch03.indd 27Ch03.indd 27 12/22/08 4:40:52 PM12/22/08 4:40:52 PM Irwin, Basic Engineering Circuit Analysis, 9/E 28 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.17 3.17 Figure P3.17 P3.17 Ch03.indd 28Ch03.indd 28 12/22/08 4:40:53 PM12/22/08 4:40:53 PM Irwin, Basic Engineering Circuit Analysis, 9/E 29 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.18 Ch03.indd 29Ch03.indd 29 12/22/08 4:40:54 PM12/22/08 4:40:54 PM Irwin, Basic Engineering Circuit Analysis, 9/E 30 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.18 Ch03.indd 30Ch03.indd 30 12/22/08 4:40:54 PM12/22/08 4:40:54 PM Irwin, Basic Engineering Circuit Analysis, 9/E 31 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.19 3.19 Figure P3.19 P3.19 Ch03.indd 31Ch03.indd 31 12/22/08 4:40:54 PM12/22/08 4:40:54 PM Irwin, Basic Engineering Circuit Analysis, 9/E 32 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.20 3.20 Figure P3.20 P3.20. Ch03.indd 32Ch03.indd 32 12/22/08 4:40:55 PM12/22/08 4:40:55 PM Irwin, Basic Engineering Circuit Analysis, 9/E 33 3.21 Figure P3.21 P3.21. Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.21 Ch03.indd 33Ch03.indd 33 12/22/08 4:40:57 PM12/22/08 4:40:57 PM Irwin, Basic Engineering Circuit Analysis, 9/E 34 l 2 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.22 3.22 Figure P3.22 P3.22 Ch03.indd 34Ch03.indd 34 12/22/08 4:40:58 PM12/22/08 4:40:58 PM Irwin, Basic Engineering Circuit Analysis, 9/E 35 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.23 3.23 Figure P3.23 P3.23 Ch03.indd 35Ch03.indd 35 12/22/08 4:40:59 PM12/22/08 4:40:59 PM Irwin, Basic Engineering Circuit Analysis, 9/E 36 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.24 3.24 Figure P3.24 P3.24. Ch03.indd 36Ch03.indd 36 12/22/08 4:41:00 PM12/22/084:41:00 PM Irwin, Basic Engineering Circuit Analysis, 9/E 37 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.25 3.25 Figure P3.25 P3.25. Ch03.indd 37Ch03.indd 37 12/22/08 4:41:02 PM12/22/08 4:41:02 PM Irwin, Basic Engineering Circuit Analysis, 9/E 38 3 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.26 3.26 Figure P3.26 P3.26 Ch03.indd 38Ch03.indd 38 12/22/08 4:41:04 PM12/22/08 4:41:04 PM Irwin, Basic Engineering Circuit Analysis, 9/E 39 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.27 3.27 Figure P3.27 P3.27 Ch03.indd 39Ch03.indd 39 12/22/08 4:41:05 PM12/22/08 4:41:05 PM Irwin, Basic Engineering Circuit Analysis, 9/E 40 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.27 Ch03.indd 40Ch03.indd 40 12/22/08 4:41:07 PM12/22/08 4:41:07 PM Irwin, Basic Engineering Circuit Analysis, 9/E 41 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.28 Ch03.indd 41Ch03.indd 41 12/22/08 4:41:09 PM12/22/08 4:41:09 PM Irwin, Basic Engineering Circuit Analysis, 9/E 42 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.28 Ch03.indd 42Ch03.indd 42 12/22/08 4:41:09 PM12/22/08 4:41:09 PM Irwin, Basic Engineering Circuit Analysis, 9/E 43 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.29 Ch03.indd 43Ch03.indd 43 12/22/08 4:41:09 PM12/22/08 4:41:09 PM Irwin, Basic Engineering Circuit Analysis, 9/E 44 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.30 Ch03.indd 44Ch03.indd 44 12/22/08 4:41:09 PM12/22/08 4:41:09 PM Irwin, Basic Engineering Circuit Analysis, 9/E 45 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.30 Ch03.indd 45Ch03.indd 45 12/22/08 4:41:10 PM12/22/08 4:41:10 PM Irwin, Basic Engineering Circuit Analysis, 9/E 46 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.31 3.31 Figure P3.31 P3.31 Ch03.indd 46Ch03.indd 46 12/22/08 4:41:10 PM12/22/08 4:41:10 PM Irwin, Basic Engineering Circuit Analysis, 9/E 47 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.31 Ch03.indd 47Ch03.indd 47 12/22/08 4:41:11 PM12/22/08 4:41:11 PM Irwin, Basic Engineering Circuit Analysis, 9/E 48 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.32 Ch03.indd 48Ch03.indd 48 12/22/08 4:41:13 PM12/22/08 4:41:13 PM Irwin, Basic Engineering Circuit Analysis, 9/E 49 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.33 3.33 Figure P3.33 P3.33. Ch03.indd 49Ch03.indd 49 12/22/08 4:41:13 PM12/22/08 4:41:13 PM Irwin, Basic Engineering Circuit Analysis, 9/E 50 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.33 Ch03.indd 50Ch03.indd 50 12/22/08 4:41:15 PM12/22/08 4:41:15 PM Irwin, Basic Engineering Circuit Analysis, 9/E 51 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.34 Ch03.indd 51Ch03.indd 51 12/22/08 4:41:17 PM12/22/08 4:41:17 PM Irwin, Basic Engineering Circuit Analysis, 9/E 52 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.34 Ch03.indd 52Ch03.indd 52 12/22/08 4:41:18 PM12/22/08 4:41:18 PM Irwin, Basic Engineering Circuit Analysis, 9/E 53 o Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.35 3.35 Figure P3.35 P3.35 Ch03.indd 53Ch03.indd 53 12/22/08 4:41:18 PM12/22/08 4:41:18 PM Irwin, Basic Engineering Circuit Analysis, 9/E 54 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.35 Ch03.indd 54Ch03.indd 54 12/22/08 4:41:18 PM12/22/08 4:41:18 PM Irwin, Basic Engineering Circuit Analysis, 9/E 55 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.36 3.36 Figure P3.36 P3.36. Ch03.indd 55Ch03.indd 55 12/22/08 4:41:18 PM12/22/08 4:41:18 PM Irwin, Basic Engineering Circuit Analysis, 9/E 56 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.37 3.37 Figure P3.37 P3.37 Ch03.indd 56Ch03.indd 56 12/22/08 4:41:21 PM12/22/08 4:41:21 PM Irwin, Basic Engineering Circuit Analysis, 9/E 57 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.37 Ch03.indd 57Ch03.indd 57 12/22/08 4:41:23 PM12/22/08 4:41:23 PM Irwin, Basic Engineering Circuit Analysis, 9/E 58 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.38 3.38 Figure P3.38 P3.38 Ch03.indd 58Ch03.indd 58 12/22/08 4:41:25 PM12/22/08 4:41:25 PM Irwin, Basic Engineering Circuit Analysis, 9/E 59 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.38 Ch03.indd 59Ch03.indd 59 12/22/08 4:41:40 PM12/22/08 4:41:40 PM Irwin, Basic Engineering Circuit Analysis, 9/E 60 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.39 3.39 Figure P3.39 P3.39. Ch03.indd 60Ch03.indd 60 12/22/08 4:41:41 PM12/22/08 4:41:41 PM Irwin, Basic Engineering Circuit Analysis, 9/E 61 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.39 Ch03.indd 61Ch03.indd 61 12/22/08 4:41:43 PM12/22/08 4:41:43 PM Irwin, Basic Engineering Circuit Analysis, 9/E 62 3 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.40 3.40 Figure P3.40 P3.40 Ch03.indd 62Ch03.indd 62 12/22/08 4:41:45 PM12/22/08 4:41:45 PM Irwin, Basic Engineering Circuit Analysis, 9/E 63 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.40 Ch03.indd 63Ch03.indd 63 12/22/08 4:41:46 PM12/22/08 4:41:46 PM Irwin, Basic Engineering Circuit Analysis, 9/E 64 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.41 Ch03.indd 64Ch03.indd 64 12/22/08 4:41:46 PM12/22/08 4:41:46 PM Irwin, Basic Engineering Circuit Analysis, 9/E 65 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.41 Ch03.indd 65Ch03.indd 65 12/22/08 4:41:47 PM12/22/08 4:41:47 PM Irwin, Basic Engineering Circuit Analysis, 9/E 66 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.42 Ch03.indd 66Ch03.indd 66 12/22/08 4:41:47 PM12/22/08 4:41:47 PM Irwin, Basic Engineering Circuit Analysis, 9/E 67 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.42 Ch03.indd 67Ch03.indd 67 12/22/08 4:41:47 PM12/22/08 4:41:47 PM Irwin, Basic Engineering Circuit Analysis, 9/E 68 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.43 Ch03.indd 68Ch03.indd 68 12/22/08 4:41:47 PM12/22/08 4:41:47 PM Irwin, Basic Engineering Circuit Analysis, 9/E 69 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.43 Ch03.indd 69Ch03.indd 69 12/22/08 4:41:47 PM12/22/08 4:41:47 PM Irwin, Basic Engineering Circuit Analysis, 9/E 70 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.44 Ch03.indd 70Ch03.indd 70 12/22/08 4:41:48 PM12/22/08 4:41:48 PM Irwin, Basic Engineering Circuit Analysis, 9/E 71 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.44 Ch03.indd 71Ch03.indd 71 12/22/08 4:41:48 PM12/22/08 4:41:48 PM Irwin, Basic Engineering Circuit Analysis, 9/E 72 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.45 3.45 Figure P3.45 P3.45 Ch03.indd 72Ch03.indd 72 12/22/08 4:41:48 PM12/22/08 4:41:48 PM Irwin, Basic Engineering Circuit Analysis, 9/E 73 +- > Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.46 3.46 Figure P3.46 P3.46. Ch03.indd 73Ch03.indd73 12/22/08 4:41:50 PM12/22/08 4:41:50 PM Irwin, Basic Engineering Circuit Analysis, 9/E 74 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.47 Ch03.indd 74Ch03.indd 74 12/22/08 4:41:51 PM12/22/08 4:41:51 PM Irwin, Basic Engineering Circuit Analysis, 9/E 75 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.48 3.48 3.23 Figure P3.23 Ch03.indd 75Ch03.indd 75 12/23/08 1:29:54 PM12/23/08 1:29:54 PM Irwin, Basic Engineering Circuit Analysis, 9/E 76 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.48 Ch03.indd 76Ch03.indd 76 12/22/08 4:41:52 PM12/22/08 4:41:52 PM Irwin, Basic Engineering Circuit Analysis, 9/E 77 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.49 3.49 3.27 Figure P3.27 Ch03.indd 77Ch03.indd 77 12/23/08 1:31:41 PM12/23/08 1:31:41 PM Irwin, Basic Engineering Circuit Analysis, 9/E 78 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.50 Ch03.indd 78Ch03.indd 78 12/22/08 4:41:56 PM12/22/08 4:41:56 PM Irwin, Basic Engineering Circuit Analysis, 9/E 79 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.51 Ch03.indd 79Ch03.indd 79 12/22/08 4:41:56 PM12/22/08 4:41:56 PM Irwin, Basic Engineering Circuit Analysis, 9/E 80 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.52 3.52 Figure P3.52 P3.52 Ch03.indd 80Ch03.indd 80 12/22/08 4:41:56 PM12/22/08 4:41:56 PM Irwin, Basic Engineering Circuit Analysis, 9/E 81 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.52 Ch03.indd 81Ch03.indd 81 12/22/08 4:41:56 PM12/22/08 4:41:56 PM Irwin, Basic Engineering Circuit Analysis, 9/E 82 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.53 3.53 Figure P3.53 P3.53 Ch03.indd 82Ch03.indd 82 12/22/08 4:41:57 PM12/22/08 4:41:57 PM Irwin, Basic Engineering Circuit Analysis, 9/E 83 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.53 Ch03.indd 83Ch03.indd 83 12/22/08 4:41:57 PM12/22/08 4:41:57 PM Irwin, Basic Engineering Circuit Analysis, 9/E 84 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.54 3.54 Figure P3.54 P3.54. Ch03.indd 84Ch03.indd 84 12/22/08 4:41:57 PM12/22/08 4:41:57 PM Irwin, Basic Engineering Circuit Analysis, 9/E 85 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.54 Ch03.indd 85Ch03.indd 85 12/22/08 4:41:58 PM12/22/08 4:41:58 PM Irwin, Basic Engineering Circuit Analysis, 9/E 86 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.55 3.55 Figure P3.55 P3.55. Ch03.indd 86Ch03.indd 86 12/22/08 4:41:58 PM12/22/08 4:41:58 PM Irwin, Basic Engineering Circuit Analysis, 9/E 87 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.55 Ch03.indd 87Ch03.indd 87 12/22/08 4:41:59 PM12/22/08 4:41:59 PM Irwin, Basic Engineering Circuit Analysis, 9/E 88 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.56 3.56 Figure P3.56 P3.56 Ch03.indd 88Ch03.indd 88 12/22/08 4:41:59 PM12/22/08 4:41:59 PM Irwin, Basic Engineering Circuit Analysis, 9/E 89 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.56 Ch03.indd 89Ch03.indd 89 12/22/08 4:41:59 PM12/22/08 4:41:59 PM Irwin, Basic Engineering Circuit Analysis, 9/E 90 > Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.57 3.57 Figure P3.57 P3.57. Ch03.indd 90Ch03.indd 90 12/22/08 4:41:59 PM12/22/08 4:41:59 PM Irwin, Basic Engineering Circuit Analysis, 9/E 91 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.57 Ch03.indd 91Ch03.indd 91 12/22/08 4:42:00 PM12/22/08 4:42:00 PM Irwin, Basic Engineering Circuit Analysis, 9/E 92 >' Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.58 3.58 Figure P3.58 P3.58 Ch03.indd 92Ch03.indd 92 12/22/08 4:42:01 PM12/22/08 4:42:01 PM Irwin, Basic Engineering Circuit Analysis, 9/E 93 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.58 Ch03.indd 93Ch03.indd 93 12/22/08 4:42:01 PM12/22/08 4:42:01 PM Irwin, Basic Engineering Circuit Analysis, 9/E 94 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.59 Ch03.indd 94Ch03.indd 94 12/22/08 4:42:01 PM12/22/08 4:42:01 PM Irwin, Basic Engineering Circuit Analysis, 9/E 95 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.60 Ch03.indd 95Ch03.indd 95 12/22/08 4:42:01 PM12/22/08 4:42:01 PM Irwin, Basic Engineering Circuit Analysis, 9/E 96 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.60 Ch03.indd 96Ch03.indd 96 12/22/08 4:42:02 PM12/22/08 4:42:02 PM Irwin, Basic Engineering Circuit Analysis, 9/E 97 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.61 Ch03.indd 97Ch03.indd 97 12/22/08 4:42:02 PM12/22/08 4:42:02 PM Irwin, Basic Engineering Circuit Analysis, 9/E 98 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.61 Ch03.indd 98Ch03.indd 98 12/22/08 4:42:02 PM12/22/08 4:42:02 PM Irwin, Basic Engineering Circuit Analysis, 9/E 99 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.62 Ch03.indd 99Ch03.indd 99 12/22/08 4:42:02 PM12/22/08 4:42:02 PM Irwin, Basic Engineering Circuit Analysis, 9/E 100 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.62 Ch03.indd 100Ch03.indd 100 12/22/08 4:42:03 PM12/22/08 4:42:03 PM Irwin, Basic Engineering Circuit Analysis, 9/E 101 + - Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.63 3.63 Figure P3.63 P3.63. Ch03.indd 101Ch03.indd 101 12/22/08 4:42:03 PM12/22/08 4:42:03 PM Irwin, Basic Engineering Circuit Analysis, 9/E 102 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.63 Ch03.indd 102Ch03.indd 102 12/22/08 4:42:05 PM12/22/08 4:42:05 PM Irwin, Basic Engineering Circuit Analysis, 9/E 103 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.64 Ch03.indd 103Ch03.indd 103 12/22/08 4:42:06 PM12/22/08 4:42:06 PM Irwin, Basic Engineering Circuit Analysis, 9/E 104 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.64 Ch03.indd 104Ch03.indd 104 12/22/08 4:42:06 PM12/22/08 4:42:06 PM Irwin, Basic Engineering Circuit Analysis, 9/E 105 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.65 3.65 Figure P3.65 P3.65 Ch03.indd 105Ch03.indd 105 12/22/08 4:42:07 PM12/22/08 4:42:07 PM Irwin, Basic Engineering Circuit Analysis, 9/E 106 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.65 Ch03.indd 106Ch03.indd 106 12/22/08 4:42:08 PM12/22/08 4:42:08 PM Irwin, Basic Engineering Circuit Analysis, 9/E 107 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.66 3.66 Figure P3.66 P3.66 Ch03.indd 107Ch03.indd 107 12/22/08 4:42:10 PM12/22/08 4:42:10 PM Irwin, Basic Engineering Circuit Analysis, 9/E 108 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.66 Ch03.indd 108Ch03.indd 108 12/22/08 4:42:11 PM12/22/08 4:42:11 PM Irwin, Basic Engineering Circuit Analysis, 9/E 109 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.66 Ch03.indd 109Ch03.indd 109 12/22/08 4:42:12 PM12/22/08 4:42:12 PM Irwin, Basic Engineering Circuit Analysis, 9/E 110 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.67 Ch03.indd110Ch03.indd 110 12/22/08 4:42:14 PM12/22/08 4:42:14 PM Irwin, Basic Engineering Circuit Analysis, 9/E 111 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.67 Ch03.indd 111Ch03.indd 111 12/22/08 4:42:15 PM12/22/08 4:42:15 PM Irwin, Basic Engineering Circuit Analysis, 9/E 112 + - +- - - o o Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.68 3.68 Figure P3.68 P3.68. Ch03.indd 112Ch03.indd 112 12/22/08 4:42:15 PM12/22/08 4:42:15 PM Irwin, Basic Engineering Circuit Analysis, 9/E 113 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.69 3.69 Figure P3.69 P3.69 Ch03.indd 113Ch03.indd 113 12/22/08 4:42:16 PM12/22/08 4:42:16 PM Irwin, Basic Engineering Circuit Analysis, 9/E 114 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.70 Ch03.indd 114Ch03.indd 114 12/22/08 4:42:17 PM12/22/08 4:42:17 PM Irwin, Basic Engineering Circuit Analysis, 9/E 115 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.71 3.71 Figure P3.71 P3.71 Ch03.indd 115Ch03.indd 115 12/22/08 4:42:18 PM12/22/08 4:42:18 PM Irwin, Basic Engineering Circuit Analysis, 9/E 116 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.71 Ch03.indd 116Ch03.indd 116 12/22/08 4:42:19 PM12/22/08 4:42:19 PM Irwin, Basic Engineering Circuit Analysis, 9/E 117 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.72 Ch03.indd 117Ch03.indd 117 12/22/08 4:42:21 PM12/22/08 4:42:21 PM Irwin, Basic Engineering Circuit Analysis, 9/E 118 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.73 Ch03.indd 118Ch03.indd 118 12/22/08 4:42:21 PM12/22/08 4:42:21 PM Irwin, Basic Engineering Circuit Analysis, 9/E 119 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.73 Ch03.indd 119Ch03.indd 119 12/22/08 4:42:22 PM12/22/08 4:42:22 PM Irwin, Basic Engineering Circuit Analysis, 9/E 120 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.74 Ch03.indd 120Ch03.indd 120 12/22/08 4:42:22 PM12/22/08 4:42:22 PM Irwin, Basic Engineering Circuit Analysis, 9/E 121 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.74 Ch03.indd 121Ch03.indd 121 12/22/08 4:42:22 PM12/22/08 4:42:22 PM Irwin, Basic Engineering Circuit Analysis, 9/E 122 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.75 3.75 Figure P3.75 P3.75 Ch03.indd 122Ch03.indd 122 12/22/08 4:42:22 PM12/22/08 4:42:22 PM Irwin, Basic Engineering Circuit Analysis, 9/E 123 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.75 Ch03.indd 123Ch03.indd 123 12/22/08 4:42:24 PM12/22/08 4:42:24 PM Irwin, Basic Engineering Circuit Analysis, 9/E 124 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.76 Ch03.indd 124Ch03.indd 124 12/22/08 4:42:25 PM12/22/08 4:42:25 PM Irwin, Basic Engineering Circuit Analysis, 9/E 125 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.76 Ch03.indd 125Ch03.indd 125 12/22/08 4:42:25 PM12/22/08 4:42:25 PM Irwin, Basic Engineering Circuit Analysis, 9/E 126 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.77 3.77 Figure P3.77 P3.77 Ch03.indd 126Ch03.indd 126 12/22/08 4:42:26 PM12/22/08 4:42:26 PM Irwin, Basic Engineering Circuit Analysis, 9/E 127 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.77 Ch03.indd 127Ch03.indd 127 12/22/08 4:42:28 PM12/22/08 4:42:28 PM Irwin, Basic Engineering Circuit Analysis, 9/E 128 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.78 Ch03.indd 128Ch03.indd 128 12/22/08 4:42:29 PM12/22/08 4:42:29 PM Irwin, Basic Engineering Circuit Analysis, 9/E 129 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.78 Ch03.indd 129Ch03.indd 129 12/22/08 4:42:30 PM12/22/08 4:42:30 PM Irwin, Basic Engineering Circuit Analysis, 9/E 130 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.79 3.79 Figure P3.79 P3.79. Ch03.indd 130Ch03.indd 130 12/22/08 4:42:30 PM12/22/08 4:42:30 PM Irwin, Basic Engineering Circuit Analysis, 9/E 131 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.79 Ch03.indd 131Ch03.indd 131 12/22/08 4:42:31 PM12/22/08 4:42:31 PM Irwin, Basic Engineering Circuit Analysis, 9/E 132 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.80 3.80 Figure P3.80 P3.80 Ch03.indd 132Ch03.indd 132 12/22/08 4:42:34 PM12/22/08 4:42:34 PM Irwin, Basic Engineering Circuit Analysis, 9/E 133 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.80 Ch03.indd 133Ch03.indd 133 12/22/08 4:42:36 PM12/22/08 4:42:36 PM Irwin, Basic Engineering Circuit Analysis, 9/E 134 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.81 Ch03.indd 134Ch03.indd 134 12/22/08 4:42:37 PM12/22/08 4:42:37 PM Irwin, Basic Engineering Circuit Analysis, 9/E 135 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.81 Ch03.indd 135Ch03.indd 135 12/22/08 4:42:37 PM12/22/08 4:42:37 PM Irwin, Basic Engineering Circuit Analysis, 9/E 136 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.82 Ch03.indd 136Ch03.indd 136 12/22/08 4:42:38 PM12/22/08 4:42:38 PM Irwin, Basic Engineering Circuit Analysis, 9/E 137 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.83 3.83 Figure P3.83 P3.83. Ch03.indd 137Ch03.indd 137 12/22/08 4:42:39 PM12/22/08 4:42:39 PM Irwin, Basic Engineering Circuit Analysis, 9/E 138 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.83 Ch03.indd 138Ch03.indd 138 12/22/08 4:42:40 PM12/22/08 4:42:40 PM Irwin, Basic Engineering Circuit Analysis, 9/E 139 \/ ' Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.84 3.84 Figure P3.84 P3.84 Ch03.indd 139Ch03.indd 139 12/22/08 4:42:42 PM12/22/08 4:42:42 PM Irwin, Basic Engineering Circuit Analysis, 9/E 140 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.84 Ch03.indd 140Ch03.indd 140 12/22/08 4:42:42 PM12/22/08 4:42:42 PM Irwin, Basic Engineering Circuit Analysis, 9/E 141 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.85 Ch03.indd 141Ch03.indd 141 12/22/08 4:42:43 PM12/22/08 4:42:43 PM Irwin, Basic Engineering Circuit Analysis, 9/E 142 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.86 3.86 Figure P3.86 P3.86. Ch03.indd 142Ch03.indd 142 12/22/08 4:42:43 PM12/22/08 4:42:43 PM Irwin, Basic Engineering Circuit Analysis, 9/E 143 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.86 Ch03.indd 143Ch03.indd 143 12/22/08 4:42:44 PM12/22/08 4:42:44 PM Irwin, Basic Engineering Circuit Analysis, 9/E 144 > ''' Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.87 3.87 Figure P3.87 P3.87. Ch03.indd 144Ch03.indd 144 12/22/08 4:42:46 PM12/22/08 4:42:46 PM Irwin, Basic Engineering Circuit Analysis, 9/E 145 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.87 Ch03.indd 145Ch03.indd 145 12/22/08 4:42:48 PM12/22/08 4:42:48 PM Irwin, Basic Engineering Circuit Analysis, 9/E 146 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.87 Ch03.indd 146Ch03.indd 146 12/22/08 4:42:48 PM12/22/08 4:42:48 PM Irwin, Basic Engineering CircuitAnalysis, 9/E 147 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.88 Ch03.indd 147Ch03.indd 147 12/22/08 4:42:49 PM12/22/08 4:42:49 PM Irwin, Basic Engineering Circuit Analysis, 9/E 148 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.88 Ch03.indd 148Ch03.indd 148 12/22/08 4:42:49 PM12/22/08 4:42:49 PM Irwin, Basic Engineering Circuit Analysis, 9/E 149 \/ Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.89 3.89 Figure P3.89 P3.89. Ch03.indd 149Ch03.indd 149 12/22/08 4:42:50 PM12/22/08 4:42:50 PM Irwin, Basic Engineering Circuit Analysis, 9/E 150 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.89 Ch03.indd 150Ch03.indd 150 12/22/08 4:42:50 PM12/22/08 4:42:50 PM Irwin, Basic Engineering Circuit Analysis, 9/E 151 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.89 Ch03.indd 151Ch03.indd 151 12/22/08 4:42:50 PM12/22/08 4:42:50 PM Irwin, Basic Engineering Circuit Analysis, 9/E 152 x6V Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.90 3.90 Figure P3.90 P3.90. Ch03.indd 152Ch03.indd 152 12/22/08 4:42:50 PM12/22/08 4:42:50 PM Irwin, Basic Engineering Circuit Analysis, 9/E 153 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.90 Ch03.indd 153Ch03.indd 153 12/22/08 4:42:52 PM12/22/08 4:42:52 PM Irwin, Basic Engineering Circuit Analysis, 9/E 154 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.91 Ch03.indd 154Ch03.indd 154 12/22/08 4:42:53 PM12/22/08 4:42:53 PM Irwin, Basic Engineering Circuit Analysis, 9/E 155 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.91 Ch03.indd 155Ch03.indd 155 12/22/08 4:42:53 PM12/22/08 4:42:53 PM Irwin, Basic Engineering Circuit Analysis, 9/E 156 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.92 Ch03.indd 156Ch03.indd 156 12/22/08 4:42:53 PM12/22/08 4:42:53 PM Irwin, Basic Engineering Circuit Analysis, 9/E 157 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.92 Ch03.indd 157Ch03.indd 157 12/22/08 4:42:54 PM12/22/08 4:42:54 PM Irwin, Basic Engineering Circuit Analysis, 9/E 158 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.93 Ch03.indd 158Ch03.indd 158 12/22/08 4:42:54 PM12/22/08 4:42:54 PM Irwin, Basic Engineering Circuit Analysis, 9/E 159 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.93 Ch03.indd 159Ch03.indd 159 12/22/08 4:42:54 PM12/22/08 4:42:54 PM Irwin, Basic Engineering Circuit Analysis, 9/E 160 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.94 Ch03.indd 160Ch03.indd 160 12/22/08 4:42:54 PM12/22/08 4:42:54 PM Irwin, Basic Engineering Circuit Analysis, 9/E 161 Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.94 Ch03.indd 161Ch03.indd 161 12/22/08 4:42:54 PM12/22/08 4:42:54 PM