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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 1 Ch03.indd 1 12/22/08 4:40:33 PM 12/22/08 4:40:33 PM

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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 PM12/22/08 4:41:00 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.indd 73 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

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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

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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.indd 110Ch03.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

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Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.68

3.68

Figure P3.68

P3.68.

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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

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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.

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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

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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.

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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

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Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.84

3.84

Figure P3.84

P3.84

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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.

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Irwin, Basic Engineering Circuit Analysis, 9/E 143

Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.86

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Irwin, Basic Engineering Circuit Analysis, 9/E 144

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Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.87

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P3.87.

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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 Circuit Analysis, 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

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Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.89

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Figure P3.89

P3.89.

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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

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Irwin, Basic Engineering Circuit Analysis, 9/E 152

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Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.90

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P3.90.

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Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.90

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Irwin, Basic Engineering Circuit Analysis, 9/E 154

Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.91

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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

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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