Basic Engineering Circuit Analysis by Irwin Solution Manual

Simpo PDF Merge and Split Unregistered Version - http://www.simpopdf.com Irwin, Basic Engineering Circuit Analysis, 9/E

1.1

Chapter 1: Basic Electric Circuit Concepts.

Chapter01.indd 1

Problem 1.

12/4/08 3:53:13 PM


1.2


Chapter01.indd 2

Problem 1.

12/4/08 3:53:14 PM



Chapter01.indd 3

Problem 1.

12/4/08 3:53:14 PM



Chapter01.indd 4

Problem 1.

12/4/08 3:53:14 PM


1.5


Chapter01.indd 5

Problem 1.

12/4/08 3:53:15 PM



Chapter01.indd 6

Problem 1.

12/4/08 3:53:15 PM


1.7

1.7

1.7


Chapter01.indd 7

Problem 1.

12/4/08 3:53:16 PM


1.8

Fig. P1.8.

1.8


Chapter01.indd 8

Problem 1.

12/4/08 3:53:17 PM


1.9


Chapter01.indd 9

Problem 1.

12/4/08 3:53:20 PM


1.10


Chapter01.indd 10

Problem 1.10

12/4/08 3:53:22 PM


1.11


Chapter01.indd 11

Problem 1.11

12/4/08 3:53:25 PM


1.12

1.12

(a)

1.12


Chapter01.indd 12

Problem 1.12

12/4/08 3:53:30 PM



Chapter01.indd 13

Problem 1.12

12/4/08 3:53:32 PM


1.13

1.13.

1.13.


Chapter01.indd 14

Problem 1.13

12/4/08 3:53:34 PM



Chapter01.indd 15

Problem 1.13

12/4/08 3:53:35 PM


1.14

1.14.

1.14


Chapter01.indd 16

Problem 1.14

12/4/08 3:53:41 PM



Chapter01.indd 17

Problem 1.14

12/4/08 3:53:43 PM


1.15

------

-------------

1.15.

1.15


Chapter01.indd 18

Problem 1.15

12/4/08 3:53:46 PM



Chapter01.indd 19

Problem 1.15

12/4/08 3:54:36 PM



Chapter01.indd 20

Problem 1.16

12/4/08 3:54:43 PM


1.17

1.17.

1.17


Chapter01.indd 21

Problem 1.17

12/4/08 3:54:45 PM


1.17

1.18

1.18.

1.18


Chapter01.indd 22

Problem 1.18

12/4/08 3:54:49 PM


1.19

1.19.

1.19


Chapter01.indd 23

Problem 1.19

12/4/08 3:54:53 PM


1.20

1.20.

1.20


Chapter01.indd 24

Problem 1.20

12/4/08 3:54:58 PM



Chapter01.indd 25

Problem 1.21

12/4/08 3:54:58 PM


1.22

1.22

1.22


Chapter01.indd 26

Problem 1.22

12/4/08 3:55:00 PM


1.23

1.23.

1.23


Chapter01.indd 27

Problem 1.23

12/4/08 3:55:06 PM



Chapter01.indd 28

Problem 1.24

12/4/08 3:55:07 PM


1.25

1.25

1.25


Chapter01.indd 29

Problem 1.25

12/4/08 3:55:12 PM


1.26 1.26.

1.26


Chapter01.indd 30

Problem 1.26

12/4/08 3:55:19 PM


1.27

1.27.

1.27


Chapter01.indd 31

Problem 1.27

12/4/08 3:55:20 PM


1.28 Determine the power that is absorbed or supplied by the circuit elements in Fig. P1.28.


Chapter01.indd 32

Problem 1.28

12/4/08 3:55:23 PM



Chapter01.indd 33

Problem 1.28

12/4/08 3:55:24 PM



Chapter01.indd 34

Problem 1.28

12/4/08 3:55:25 PM


1.29

1.29.

1.29


Chapter01.indd 35

Problem 1.29

12/4/08 3:55:30 PM


1.30

1.30.

1.30


Chapter01.indd 36

Problem 1.30

12/4/08 3:55:37 PM


1.31

1.31

1.31


Chapter01.indd 37

Problem 1.31

12/4/08 3:55:45 PM



Chapter01.indd 38

Problem 1.32

12/4/08 3:55:46 PM


1.33

1.33

1.33


Chapter01.indd 39

Problem 1.33

12/4/08 3:55:48 PM



Chapter01.indd 40

Problem 1.34

12/4/08 3:55:49 PM


1.35

1.35

1.35


Chapter01.indd 41

Problem 1.35

12/4/08 3:55:56 PM


1.36

1.36

1.36


Chapter01.indd 42

Problem 1.36

12/4/08 3:56:08 PM


1.37

1.37

1.37


Chapter01.indd 43

Problem 1.37

12/4/08 3:56:16 PM



Chapter01.indd 44

Problem 1.38

12/4/08 3:56:17 PM


1

2.1 P2.1.

Figure P2.1

Chapter 2: Analysis of Resistive Circuits

Ch02.indd 1

Problem 2.1

12/22/08 5:14:26 PM


2.2

2

P2.2

Figure P2.2


Ch02.indd 2

Problem 2.2

12/22/08 5:14:30 PM


2.3

3

P2.3,

Figure P2.3


Ch02.indd 3

Problem 2.3

12/22/08 5:14:30 PM


2.4

4

P2.4,

Figure P2.4


Ch02.indd 4

Problem 2.4

12/22/08 5:14:30 PM



Ch02.indd 5

5

Problem 2.5

12/23/08 9:32:35 AM


6

2.6 P2.6.

Figure P2.6


Ch02.indd 6

Problem 2.6

12/22/08 5:14:31 PM


7

2.7 P2.7.

Figure P2.7


Ch02.indd 7

Problem 2.7

12/22/08 5:14:32 PM


8

2.8 P2.8a. P2.8b.

Figure P2.8

2.8a,

2.8b,


Ch02.indd 8

Problem 2.8

12/22/08 5:14:32 PM


2.9

9

P2.9.

Figure P2.9


Ch02.indd 9

Problem 2.9

12/22/08 5:14:35 PM


2.10

10

P2.10

Figure P2.10


Ch02.indd 10

Problem 2.10

12/22/08 5:14:38 PM


2.11

11

P2.11.

Figure P2.11

+ -


Ch02.indd 11

Problem 2.11

12/22/08 5:14:39 PM


2.12

12

P2.12.

Figure P2.12

+

-


Ch02.indd 12

Problem 2.12

12/22/08 5:14:40 PM


2.13

13

P2.13.

Figure P2.13


Ch02.indd 13

Problem 2.13

12/22/08 5:14:41 PM


2.14

14

P2.14.

Figure P2.14


Ch02.indd 14

Problem 2.14

12/22/08 5:14:42 PM



Ch02.indd 15

15

Problem 2.15

12/22/08 5:14:43 PM


2.16

16

P2.16.

Figure P2.16


Ch02.indd 16

Problem 2.16

12/22/08 5:14:43 PM


2.17

17

P2.17.

Figure P2.17


Ch02.indd 17

Problem 2.17

12/22/08 5:14:45 PM


2.18

18

P2.18.

Figure P2.18


Ch02.indd 18

Problem 2.18

12/22/08 5:14:46 PM


2.19

19

P2.19.

Figure P2.19


Ch02.indd 19

Problem 2.19

12/22/08 5:14:48 PM


2.20

20

P2.20.

Figure P2.20


Ch02.indd 20

Problem 2.20

12/22/08 5:15:44 PM


2.21

21

P2.21,

Figure P2.21


Ch02.indd 21

Problem 2.21

12/22/08 5:15:47 PM



Ch02.indd 22

22

Problem 2.21

12/22/08 5:15:48 PM



Ch02.indd 23

23

Problem 2.21

12/22/08 5:15:49 PM


2.22

24

P2.22.

Figure P2.22


Ch02.indd 24

Problem 2.22

12/22/08 5:15:51 PM


2.23

25

P2.23.

Figure P2.23


Ch02.indd 25

Problem 2.23

12/22/08 5:15:52 PM



Ch02.indd 26

26

Problem 2.24

12/22/08 5:15:53 PM


2.25

27

P2.25.

Figure P2.25


Ch02.indd 27

Problem 2.25

12/22/08 5:15:54 PM



Ch02.indd 28

28

Problem 2.26

12/22/08 5:15:55 PM


2.27

29

P2.27.

Figure P2.27


Ch02.indd 29

Problem 2.27

12/22/08 5:15:55 PM


2.28

30

P2.28.

Figure P2.28


Ch02.indd 30

Problem 2.28

12/22/08 5:15:58 PM


2.29

31

P2.29.

Figure P2.29


Ch02.indd 31

Problem 2.29

12/22/08 5:15:59 PM


2.30

32

P2.30,

Figure P2.30


Ch02.indd 32

Problem 2.30

12/22/08 5:16:01 PM


33

2.31 P2.31.

Figure P2.31


Ch02.indd 33

Problem 2.31

12/22/08 5:16:04 PM


34

2.32 P2.32.

Figure P2.32


Ch02.indd 34

Problem 2.32

12/22/08 5:16:06 PM



Ch02.indd 35

35

Problem 2.33

12/22/08 5:16:08 PM


36

2.34 P2.34.

Figure P2.34


Ch02.indd 36

Problem 2.34

12/22/08 5:16:10 PM


37

2.35 P2.35.

Figure P2.35


Ch02.indd 37

Problem 2.35

12/22/08 5:16:12 PM



Ch02.indd 38

38

Problem 2.35

12/22/08 5:16:13 PM


39

2.36 P2.36.

Figure P2.36


Ch02.indd 39

Problem 2.36

12/22/08 5:16:13 PM


2.37

40

P2.37.

Figure P2.37

12 mA


Ch02.indd 40

Problem 2.37

12/22/08 5:16:17 PM


41

P2.38.

2.38

Figure P2.38

|| 12 mA


Ch02.indd 41

Problem 2.38

12/22/08 5:16:20 PM


42

2.39 P2.39.

Figure P2.39


Ch02.indd 42

Problem 2.39

12/22/08 5:16:22 PM


2.40

43

P2.40.

Figure P2.40


Ch02.indd 43

Problem 2.40

12/22/08 5:16:24 PM



Ch02.indd 44

44

Problem 2.41

12/22/08 5:16:26 PM


2.42

45

P2.42.

Figure P2.42


Ch02.indd 45

Problem 2.42

12/22/08 5:16:26 PM



Ch02.indd 46

46

Problem 2.42

12/22/08 5:16:28 PM


47

2.43 P2.43.

Figure P2.43


Ch02.indd 47

Problem 2.43

12/22/08 5:16:30 PM



Ch02.indd 48

48

Problem 2.43

12/22/08 5:16:31 PM



Ch02.indd 49

49

Problem 2.44

12/22/08 5:16:33 PM


2.45

50

P2.45.

Figure P2.45


Ch02.indd 50

Problem 2.45

12/22/08 5:16:33 PM



Ch02.indd 51

51

Problem 2.46

12/22/08 5:16:34 PM



Ch02.indd 52

52

Problem 2.47

12/22/08 5:16:35 PM



Ch02.indd 53

53

Problem 2.48

12/22/08 5:16:35 PM


2.49

54

P2.49.

Figure P2.49


Ch02.indd 54

Problem 2.49

12/22/08 5:16:35 PM


2.50

55

P2.50.

Figure P2.50


Ch02.indd 55

Problem 2.50

12/22/08 5:16:37 PM


2.51

56

P2.51.

Figure P2.51

R1


Ch02.indd 56

Problem 2.51

12/22/08 5:16:38 PM


2.52

57

P2.52.

Figure P2.52


Ch02.indd 57

Problem 2.52

12/22/08 5:16:41 PM



Ch02.indd 58

58

Problem 2.53

12/22/08 5:16:42 PM


59

P2.54.

2.54

Figure P2.54


Ch02.indd 59

Problem 2.54

12/22/08 5:16:43 PM



Ch02.indd 60

60

Problem 2.54

12/22/08 5:16:44 PM



Ch02.indd 61

61

Problem 2.54

12/22/08 5:16:48 PM


62

P2.55,

2.55

Figure P2.55


Ch02.indd 62

Problem 2.55

12/22/08 5:16:49 PM


63

R eq -

>


Ch02.indd 63

Problem 2.55

12/22/08 5:16:49 PM



Ch02.indd 64

64

Problem 2.55

12/22/08 5:16:49 PM



Ch02.indd 65

65

Problem 2.55

12/22/08 5:16:50 PM


66

2.56


Ch02.indd 66

Problem 2.56

12/22/08 5:16:50 PM



Ch02.indd 67

67

Problem 2.56

12/22/08 5:16:51 PM



Ch02.indd 68

68

Problem 2.56

12/22/08 5:16:53 PM



Ch02.indd 69

69

Problem 2.56

12/22/08 5:16:55 PM



Ch02.indd 70

70

Problem 2.56

12/22/08 5:16:56 PM



Ch02.indd 71

71

Problem 2.56

12/22/08 5:16:57 PM



Ch02.indd 72

72

Problem 2.57

12/22/08 5:16:59 PM



Ch02.indd 73

73

Problem 2.58

12/22/08 5:16:59 PM



Ch02.indd 74

74

Problem 2.58

12/22/08 5:16:59 PM


2.59

75

P2.59.

Figure P2.59

o + + o -

2k


Ch02.indd 75

Problem 2.59

12/22/08 5:16:59 PM



Ch02.indd 76

76

Problem 2.59

12/22/08 5:17:03 PM


2.60

77

P2.60.

Figure P2.60

-o + + -o


Ch02.indd 77

Problem 2.60

12/22/08 5:17:06 PM



Ch02.indd 78

78

Problem 2.61

12/22/08 5:17:08 PM



Ch02.indd 79

79

Problem 2.61

12/22/08 5:17:08 PM


2.62

80

P2.62.

Figure P2.62


Ch02.indd 80

Problem 2.62

12/22/08 5:17:08 PM



Ch02.indd 81

81

Problem 2.63

12/22/08 5:17:10 PM


2.64

82

P2.64.

Figure P2.64

+

+

(-


Ch02.indd 82

Problem 2.64

12/22/08 5:17:14 PM


83

P2.65.

2.65

Figure P2.65


Ch02.indd 83

Problem 2.65

12/22/08 5:17:17 PM



Ch02.indd 84

84

Problem 2.65

12/22/08 5:17:19 PM



Ch02.indd 85

85

Problem 2.66

12/22/08 5:17:20 PM


2.67

86

P2.67.

Figure P2.67


Ch02.indd 86

Problem 2.67

12/22/08 5:17:21 PM


87

4 - -

5


Ch02.indd 87

Problem 2.67

12/22/08 5:17:22 PM


2.68

88

P2.68.

Figure P2.68

5

<


Ch02.indd 88

Problem 2.68

12/22/08 5:17:26 PM



Ch02.indd 89

89

Problem 2.68

12/22/08 5:17:28 PM


90

P2.69.

2.69

Figure P2.69

3A


Ch02.indd 90

Problem 2.69

12/22/08 5:17:29 PM



Ch02.indd 91

91

Problem 2.69

12/22/08 5:17:31 PM


2.70

92

P2.70.

Figure P2.70


Ch02.indd 92

Problem 2.70

12/22/08 5:17:33 PM


93

2.71 P2.71

Figure P2.71


Ch02.indd 93

Problem 2.71

12/22/08 5:17:35 PM



Ch02.indd 94

94

Problem 2.71

12/22/08 5:17:37 PM


2.72

95

P2.72,

Figure P2.72


Ch02.indd 95

Problem 2.72

12/22/08 5:17:38 PM


2.73

96

P2.73.

Figure P2.73


Ch02.indd 96

Problem 2.73

12/22/08 5:17:39 PM



Ch02.indd 97

97

Problem 2.74

12/22/08 5:17:42 PM


2.75

98

P2.75.

Figure P2.75


Ch02.indd 98

Problem 2.75

12/22/08 5:17:42 PM



Ch02.indd 99

99

Problem 2.75

12/22/08 5:17:48 PM



Ch02.indd 100

100

Problem 2.76

12/22/08 5:17:49 PM


101

P2.77,

2.77

Figure P2.77

> 1


Ch02.indd 101

Problem 2.77

12/22/08 5:17:50 PM



Ch02.indd 102

102

Problem 2.77

12/22/08 5:17:54 PM



Ch02.indd 103

103

Problem 2.78

12/22/08 5:17:55 PM



Ch02.indd 104

104

Problem 2.78

12/22/08 5:17:55 PM



Ch02.indd 105

105

Problem 2.79

12/22/08 5:17:55 PM



Ch02.indd 106

106

Problem 2.80

12/22/08 5:17:55 PM


2.81

107

P2.81,

Figure P2.81

+


Ch02.indd 107

Problem 2.81

12/22/08 5:17:55 PM



Ch02.indd 108

108

Problem 2.81

12/22/08 5:17:57 PM


109

2.82 P2.82.

Figure P2.82


Ch02.indd 109

Problem 2.82

12/22/08 5:17:59 PM


110

R


Ch02.indd 110

R

Problem 2.82

12/22/08 5:18:17 PM



Ch02.indd 111

111

Problem 2.83

12/22/08 5:18:18 PM



Ch02.indd 112

112

Problem 2.83

12/22/08 5:18:19 PM


113

2.84 P2.84

Figure P2.84

3

+ -


Ch02.indd 113

Problem 2.84

12/22/08 5:18:19 PM



Ch02.indd 114

114

Problem 2.84

12/22/08 5:18:21 PM



Ch02.indd 115

115

Problem 2.84

12/22/08 5:18:22 PM



Ch02.indd 116

116

Problem 2.85

12/22/08 5:18:24 PM



Ch02.indd 117

117

Problem 2.85

12/22/08 5:18:24 PM


2.86 Given I" 2.88

=

118

P2.86, 2 mA in the network in Fig. P2.88,

find V.I'

Figure P2.86

VA 3

v.. ..•.

1 kn

Iq

+ VJ1 kfl

-'t 1 kfl

~

-

+

2kf!

.,.

::.

~,2)C.

_I

KC,.L""


Ch02.indd 118

Problem 2.86

12/22/08 5:18:25 PM


119

1,).. t I~.= I~

VA ::. -2,h - 2-D


Ch02.indd 119

Problem 2.86

12/22/08 5:18:28 PM



Ch02.indd 120

120

Problem 2.87

12/22/08 5:18:30 PM



Ch02.indd 121

121

Problem 2.87

12/22/08 5:18:30 PM


122

2.88 P2.88.

Figure P2.88

+ -


Ch02.indd 122

+

-

Problem 2.88

12/22/08 5:18:30 PM



Ch02.indd 123

123

Problem 2.88

12/22/08 5:18:31 PM


2.89

124

P2.89

Figure P2.89


Ch02.indd 124

Problem 2.89

12/22/08 5:18:31 PM



Ch02.indd 125

125

Problem 2.89

12/22/08 5:18:32 PM



Ch02.indd 126

126

Problem 2.90

12/22/08 5:18:34 PM



Ch02.indd 127

127

Problem 2.90

12/22/08 5:18:34 PM


128

2.91 P2.91.

Figure P2.91


Ch02.indd 128

Problem 2.91

12/22/08 5:18:34 PM



Ch02.indd 129

129

Problem 2.91

12/22/08 5:18:35 PM



Ch02.indd 130

130

Problem 2.91

12/22/08 5:18:37 PM



Ch02.indd 131

131

Problem 2.92

12/22/08 5:18:38 PM



Ch02.indd 132

132

Problem 2.92

12/22/08 5:18:39 PM


133

P2.93

2.93

Figure P2.93


Ch02.indd 133

Problem 2.93

12/22/08 5:18:39 PM



Ch02.indd 134

134

Problem 2.93

12/22/08 5:18:41 PM



Ch02.indd 135

135

Problem 2.93

12/22/08 5:18:42 PM



Ch02.indd 136

136

Problem 2.94

12/22/08 5:18:44 PM



Ch02.indd 137

137

Problem 2.94

12/22/08 5:18:44 PM


2.95

138

P2.95.

Figure P2.95


Ch02.indd 138

Problem 2.95

12/22/08 5:18:45 PM



Ch02.indd 139

139

Problem 2.95

12/22/08 5:18:46 PM



Ch02.indd 140

140

Problem 2.95

12/22/08 5:18:48 PM


141

2.96 P2.96.

Figure P2.96


Ch02.indd 141

Problem 2.96

12/22/08 5:18:49 PM


142

s


Ch02.indd 142

Problem 2.96

12/22/08 5:18:49 PM


2.97

143

P2.97.

Figure P2.97


Ch02.indd 143

Problem 2.97

12/22/08 5:18:50 PM



Ch02.indd 144

144

Problem 2.98

12/22/08 5:18:51 PM


2.99

145

P2.99.

Figure P2.99


Ch02.indd 145

Problem 2.99

12/22/08 5:18:51 PM


146

P2.100.

2.100

Figure P2.100


Ch02.indd 146

Problem 2.100

12/22/08 5:18:53 PM



Ch02.indd 147

147

Problem 2.100

12/22/08 5:18:55 PM


148

2.101

P2.101.

Figure P2.101

=

+

= =

=

-


Ch02.indd 148

Problem 2.101

12/22/08 5:18:57 PM



Ch02.indd 149

149

Problem 2.101

12/22/08 5:18:58 PM



Ch02.indd 150

150

Problem 2.102

12/22/08 5:19:00 PM



Ch02.indd 151

151

Problem 2.103

12/22/08 5:19:00 PM


2.104

152

P2.104.

Figure P2.104


Ch02.indd 152

Problem 2.104

12/22/08 5:19:00 PM



Ch02.indd 153

153

Problem 2.104

12/22/08 5:19:02 PM


2.105

154

P2.105.

Figure P2.105


Ch02.indd 154

Problem 2.105

12/22/08 5:19:03 PM



Ch02.indd 155

155

Problem 2.105

12/22/08 5:19:05 PM


2.106

156

P2.106,

Figure P2.106


Ch02.indd 156

Problem 2.106

12/22/08 5:19:06 PM



Ch02.indd 157

157

Problem 2.106

12/22/08 5:19:07 PM


158

SOLUTION: Is

>

R1

R3

Ix

12V

R2

R4

R5

R6 The correct answer is d.

Req

^ >>( R R ) R @ R @ R ` R ^ >>(8 2) 10@ 1@ 3` 1

Req

(6 3) 1 3:

Req

Is

5

12 Req

12 3

R'

>( R

Ix

§ 6 · ¨ ¸4 ©3 6¹

5

R6 )

6

4

3

1

4A R4 @ R3

24 9

6:

8 A 3


Ch02.indd 158

2

Problem 2FE-10

12/22/08 5:19:08 PM


3.1

1

P3.1

Figure P3.1

3k

Chapter 3: Loop and Nodal Techniques for Circuit Analysis

Ch03.indd 1

Problem 3.1

12/22/08 4:40:33 PM



Ch03.indd 2

2

Problem 3.1

12/22/08 4:40:35 PM



Ch03.indd 3

3

Problem 3.2

12/22/08 4:40:36 PM


3.3

4

P3.3

Figure P3.3


Ch03.indd 4

Problem 3.3

12/22/08 4:40:36 PM



Ch03.indd 5

5

Problem 3.3

12/22/08 4:40:37 PM



Ch03.indd 6

6

Problem 3.4

12/22/08 4:40:37 PM



Ch03.indd 7

7

Problem 3.4

12/22/08 4:40:37 PM


3.5

8

P3.5.

Figure P3.5


Ch03.indd 8

Problem 3.5

12/22/08 4:40:38 PM



Ch03.indd 9

9

Problem 3.5

12/22/08 4:40:38 PM


3.6

10

P3.6.

Figure P3.6


Ch03.indd 10

Problem 3.6

12/22/08 4:40:39 PM



Ch03.indd 11

11

Problem 3.7

12/22/08 4:40:39 PM



Ch03.indd 12

12

Problem 3.7

12/22/08 4:40:39 PM


13

3.8

P3.8.

Figure P3.8

1 O

2k


Ch03.indd 13

Problem 3.8

12/22/08 4:40:40 PM


14

3.9

P3.9.

Figure P3.9

Vo


Ch03.indd 14

Problem 3.9

12/22/08 4:40:40 PM


3.10

15

P3.10

Figure P3.10


Ch03.indd 15

Problem 3.10

12/22/08 4:40:41 PM


16

3.11 P3.11.

Figure P3.11

6k

4k


Ch03.indd 16

Problem 3.11

12/22/08 4:40:42 PM



Ch03.indd 17

17

Problem 3.11

12/22/08 4:40:42 PM


3.12

18

P3.12

Figure P3.12


Ch03.indd 18

Problem 3.12

12/22/08 4:40:43 PM



Ch03.indd 19

19

Problem 3.12

12/22/08 4:40:44 PM


20

3.13 P3.13.

Figure P3.13


Ch03.indd 20

Problem 3.13

12/22/08 4:40:45 PM



Ch03.indd 21

21

Problem 3.13

12/22/08 4:40:46 PM


3.14

22

P3.14

Figure P3.14


Ch03.indd 22

Problem 3.14

12/22/08 4:40:47 PM



Ch03.indd 23

23

Problem 3.14

12/22/08 4:40:48 PM


3.15

24

P3.15

Figure P3.15


Ch03.indd 24

Problem 3.15

12/22/08 4:40:48 PM



Ch03.indd 25

25

Problem 3.15

12/22/08 4:40:49 PM


3.16

26

P3.16.

Figure P3.16


Ch03.indd 26

Problem 3.16

12/22/08 4:40:50 PM



Ch03.indd 27

27

Problem 3.16

12/22/08 4:40:52 PM


3.17

28

P3.17

Figure P3.17


Ch03.indd 28

Problem 3.17

12/22/08 4:40:53 PM



Ch03.indd 29

29

Problem 3.18

12/22/08 4:40:54 PM



Ch03.indd 30

30

Problem 3.18

12/22/08 4:40:54 PM


3.19

31

P3.19

Figure P3.19


Ch03.indd 31

Problem 3.19

12/22/08 4:40:54 PM


3.20

32

P3.20.

Figure P3.20


Ch03.indd 32

Problem 3.20

12/22/08 4:40:55 PM


33

3.21 P3.21.

Figure P3.21


Ch03.indd 33

Problem 3.21

12/22/08 4:40:57 PM


3.22

34

P3.22

Figure P3.22

l

2


Ch03.indd 34

Problem 3.22

12/22/08 4:40:58 PM


3.23

35

P3.23

Figure P3.23


Ch03.indd 35

Problem 3.23

12/22/08 4:40:59 PM


3.24

36

P3.24.

Figure P3.24


Ch03.indd 36

Problem 3.24

12/22/08 4:41:00 PM


3.25

37

P3.25.

Figure P3.25


Ch03.indd 37

Problem 3.25

12/22/08 4:41:02 PM


3.26

38

P3.26

Figure P3.26

3


Ch03.indd 38

Problem 3.26

12/22/08 4:41:04 PM


3.27

39

P3.27

Figure P3.27


Ch03.indd 39

Problem 3.27

12/22/08 4:41:05 PM



Ch03.indd 40

40

Problem 3.27

12/22/08 4:41:07 PM



Ch03.indd 41

41

Problem 3.28

12/22/08 4:41:09 PM



Ch03.indd 42

42

Problem 3.28

12/22/08 4:41:09 PM



Ch03.indd 43

43

Problem 3.29

12/22/08 4:41:09 PM



Ch03.indd 44

44

Problem 3.30

12/22/08 4:41:09 PM



Ch03.indd 45

45

Problem 3.30

12/22/08 4:41:10 PM


3.31

46

P3.31

Figure P3.31


Ch03.indd 46

Problem 3.31

12/22/08 4:41:10 PM



Ch03.indd 47

47

Problem 3.31

12/22/08 4:41:11 PM



Ch03.indd 48

48

Problem 3.32

12/22/08 4:41:13 PM


3.33

49

P3.33.

Figure P3.33


Ch03.indd 49

Problem 3.33

12/22/08 4:41:13 PM



Ch03.indd 50

50

Problem 3.33

12/22/08 4:41:15 PM



Ch03.indd 51

51

Problem 3.34

12/22/08 4:41:17 PM



Ch03.indd 52

52

Problem 3.34

12/22/08 4:41:18 PM


53

P3.35

3.35

Figure P3.35

o


Ch03.indd 53

Problem 3.35

12/22/08 4:41:18 PM



Ch03.indd 54

54

Problem 3.35

12/22/08 4:41:18 PM


3.36

55

P3.36.

Figure P3.36


Ch03.indd 55

Problem 3.36

12/22/08 4:41:18 PM


3.37

56

P3.37

Figure P3.37


Ch03.indd 56

Problem 3.37

12/22/08 4:41:21 PM



Ch03.indd 57

57

Problem 3.37

12/22/08 4:41:23 PM


58

3.38 P3.38

Figure P3.38


Ch03.indd 58

Problem 3.38

12/22/08 4:41:25 PM



Ch03.indd 59

59

Problem 3.38

12/22/08 4:41:40 PM


60

3.39 P3.39.

Figure P3.39


Ch03.indd 60

Problem 3.39

12/22/08 4:41:41 PM



Ch03.indd 61

61

Problem 3.39

12/22/08 4:41:43 PM


62

3.40 P3.40

Figure P3.40

3


Ch03.indd 62

Problem 3.40

12/22/08 4:41:45 PM



Ch03.indd 63

63

Problem 3.40

12/22/08 4:41:46 PM



Ch03.indd 64

64

Problem 3.41

12/22/08 4:41:46 PM



Ch03.indd 65

65

Problem 3.41

12/22/08 4:41:47 PM



Ch03.indd 66

66

Problem 3.42

12/22/08 4:41:47 PM



Ch03.indd 67

67

Problem 3.42

12/22/08 4:41:47 PM



Ch03.indd 68

68

Problem 3.43

12/22/08 4:41:47 PM



Ch03.indd 69

69

Problem 3.43

12/22/08 4:41:47 PM



Ch03.indd 70

70

Problem 3.44

12/22/08 4:41:48 PM



Ch03.indd 71

71

Problem 3.44

12/22/08 4:41:48 PM


72

P3.45

3.45

Figure P3.45


Ch03.indd 72

Problem 3.45

12/22/08 4:41:48 PM


73

P3.46.

3.46

Figure P3.46

> -+


Ch03.indd 73

Problem 3.46

12/22/08 4:41:50 PM



Ch03.indd 74

74

Problem 3.47

12/22/08 4:41:51 PM


3.48

75

3.23

Figure P3.23


Ch03.indd 75

Problem 3.48

12/23/08 1:29:54 PM



Ch03.indd 76

76

Problem 3.48

12/22/08 4:41:52 PM


3.49

77

3.27

Figure P3.27


Ch03.indd 77

Problem 3.49

12/23/08 1:31:41 PM



Ch03.indd 78

78

Problem 3.50

12/22/08 4:41:56 PM



Ch03.indd 79

79

Problem 3.51

12/22/08 4:41:56 PM


3.52

80

P3.52

Figure P3.52


Ch03.indd 80

Problem 3.52

12/22/08 4:41:56 PM



Ch03.indd 81

81

Problem 3.52

12/22/08 4:41:56 PM


3.53

82

P3.53

Figure P3.53


Ch03.indd 82

Problem 3.53

12/22/08 4:41:57 PM



Ch03.indd 83

83

Problem 3.53

12/22/08 4:41:57 PM


3.54

84

P3.54.

Figure P3.54


Ch03.indd 84

Problem 3.54

12/22/08 4:41:57 PM



Ch03.indd 85

85

Problem 3.54

12/22/08 4:41:58 PM


3.55

86

P3.55.

Figure P3.55


Ch03.indd 86

Problem 3.55

12/22/08 4:41:58 PM



Ch03.indd 87

87

Problem 3.55

12/22/08 4:41:59 PM


88

P3.56

3.56

Figure P3.56


Ch03.indd 88

Problem 3.56

12/22/08 4:41:59 PM



Ch03.indd 89

89

Problem 3.56

12/22/08 4:41:59 PM


90

3.57 P3.57.

Figure P3.57

>


Ch03.indd 90

Problem 3.57

12/22/08 4:41:59 PM



Ch03.indd 91

91

Problem 3.57

12/22/08 4:42:00 PM


92

P3.58

3.58

Figure P3.58

> '


Ch03.indd 92

Problem 3.58

12/22/08 4:42:01 PM



Ch03.indd 93

93

Problem 3.58

12/22/08 4:42:01 PM



Ch03.indd 94

94

Problem 3.59

12/22/08 4:42:01 PM



Ch03.indd 95

95

Problem 3.60

12/22/08 4:42:01 PM



Ch03.indd 96

96

Problem 3.60

12/22/08 4:42:02 PM



Ch03.indd 97

97

Problem 3.61

12/22/08 4:42:02 PM



Ch03.indd 98

98

Problem 3.61

12/22/08 4:42:02 PM



Ch03.indd 99

99

Problem 3.62

12/22/08 4:42:02 PM



Ch03.indd 100

100

Problem 3.62

12/22/08 4:42:03 PM


3.63

101

P3.63.

Figure P3.63

-

+


Ch03.indd 101

Problem 3.63

12/22/08 4:42:03 PM



Ch03.indd 102

102

Problem 3.63

12/22/08 4:42:05 PM



Ch03.indd 103

103

Problem 3.64

12/22/08 4:42:06 PM



Ch03.indd 104

104

Problem 3.64

12/22/08 4:42:06 PM


3.65

105

P3.65

Figure P3.65


Ch03.indd 105

Problem 3.65

12/22/08 4:42:07 PM



Ch03.indd 106

106

Problem 3.65

12/22/08 4:42:08 PM


3.66

107

P3.66

Figure P3.66


Ch03.indd 107

Problem 3.66

12/22/08 4:42:10 PM



Ch03.indd 108

108

Problem 3.66

12/22/08 4:42:11 PM



Ch03.indd 109

109

Problem 3.66

12/22/08 4:42:12 PM



Ch03.indd 110

110

Problem 3.67

12/22/08 4:42:14 PM



Ch03.indd 111

111

Problem 3.67

12/22/08 4:42:15 PM


112

3.68 P3.68.

Figure P3.68

-+

-o +

o


Ch03.indd 112

Problem 3.68

12/22/08 4:42:15 PM


3.69

113

P3.69

Figure P3.69


Ch03.indd 113

Problem 3.69

12/22/08 4:42:16 PM



Ch03.indd 114

114

Problem 3.70

12/22/08 4:42:17 PM


3.71

115

P3.71

Figure P3.71


Ch03.indd 115

Problem 3.71

12/22/08 4:42:18 PM



Ch03.indd 116

116

Problem 3.71

12/22/08 4:42:19 PM



Ch03.indd 117

117

Problem 3.72

12/22/08 4:42:21 PM



Ch03.indd 118

118

Problem 3.73

12/22/08 4:42:21 PM



Ch03.indd 119

119

Problem 3.73

12/22/08 4:42:22 PM



Ch03.indd 120

120

Problem 3.74

12/22/08 4:42:22 PM



Ch03.indd 121

121

Problem 3.74

12/22/08 4:42:22 PM


3.75

122

P3.75

Figure P3.75


Ch03.indd 122

Problem 3.75

12/22/08 4:42:22 PM



Ch03.indd 123

123

Problem 3.75

12/22/08 4:42:24 PM



Ch03.indd 124

124

Problem 3.76

12/22/08 4:42:25 PM



Ch03.indd 125

125

Problem 3.76

12/22/08 4:42:25 PM


3.77

126

P3.77

Figure P3.77


Ch03.indd 126

Problem 3.77

12/22/08 4:42:26 PM



Ch03.indd 127

127

Problem 3.77

12/22/08 4:42:28 PM



Ch03.indd 128

128

Problem 3.78

12/22/08 4:42:29 PM



Ch03.indd 129

129

Problem 3.78

12/22/08 4:42:30 PM


130

P3.79.

3.79

Figure P3.79


Ch03.indd 130

Problem 3.79

12/22/08 4:42:30 PM



Ch03.indd 131

131

Problem 3.79

12/22/08 4:42:31 PM


3.80

132

P3.80

Figure P3.80


Ch03.indd 132

Problem 3.80

12/22/08 4:42:34 PM



Ch03.indd 133

133

Problem 3.80

12/22/08 4:42:36 PM



Ch03.indd 134

134

Problem 3.81

12/22/08 4:42:37 PM



Ch03.indd 135

135

Problem 3.81

12/22/08 4:42:37 PM



Ch03.indd 136

136

Problem 3.82

12/22/08 4:42:38 PM


137

3.83 P3.83.

Figure P3.83


Ch03.indd 137

Problem 3.83

12/22/08 4:42:39 PM



Ch03.indd 138

138

Problem 3.83

12/22/08 4:42:40 PM


3.84

139

P3.84

Figure P3.84

\/

'


Ch03.indd 139

Problem 3.84

12/22/08 4:42:42 PM



Ch03.indd 140

140

Problem 3.84

12/22/08 4:42:42 PM



Ch03.indd 141

141

Problem 3.85

12/22/08 4:42:43 PM


142

3.86 P3.86.

Figure P3.86


Ch03.indd 142

Problem 3.86

12/22/08 4:42:43 PM



Ch03.indd 143

143

Problem 3.86

12/22/08 4:42:44 PM


144

3.87 P3.87.

Figure P3.87

'''

>


Ch03.indd 144

Problem 3.87

12/22/08 4:42:46 PM



Ch03.indd 145

145

Problem 3.87

12/22/08 4:42:48 PM



Ch03.indd 146

146

Problem 3.87

12/22/08 4:42:48 PM



Ch03.indd 147

147

Problem 3.88

12/22/08 4:42:49 PM



Ch03.indd 148

148

Problem 3.88

12/22/08 4:42:49 PM


149

3.89 P3.89.

Figure P3.89

\/


Ch03.indd 149

Problem 3.89

12/22/08 4:42:50 PM



Ch03.indd 150

150

Problem 3.89

12/22/08 4:42:50 PM



Ch03.indd 151

151

Problem 3.89

12/22/08 4:42:50 PM


152

3.90 P3.90.

Figure P3.90

6Vx


Ch03.indd 152

Problem 3.90

12/22/08 4:42:50 PM



Ch03.indd 153

153

Problem 3.90

12/22/08 4:42:52 PM



Ch03.indd 154

154

Problem 3.91

12/22/08 4:42:53 PM



Ch03.indd 155

155

Problem 3.91

12/22/08 4:42:53 PM



Ch03.indd 156

156

Problem 3.92

12/22/08 4:42:53 PM



Ch03.indd 157

157

Problem 3.92

12/22/08 4:42:54 PM



Ch03.indd 158

158

Problem 3.93

12/22/08 4:42:54 PM



Ch03.indd 159

159

Problem 3.93

12/22/08 4:42:54 PM



Ch03.indd 160

160

Problem 3.94

12/22/08 4:42:54 PM



Ch03.indd 161

161

Problem 3.94

12/22/08 4:42:54 PM


Chapter 4: Introduction to Operational Amplifiers

Ch04.indd

Problem 4.

/4/0 :: PM



Ch04.indd

Problem 4.1

/4/0 :: PM


4.2


Ch04.indd

Problem 4.2

/4/0 :: PM


4.3

4.2


Ch04.indd 4

Problem 4.3

/4/0 :: PM


4.4


Ch04.indd

Problem 4.4

/4/0 :: PM



Ch04.indd

Problem 4.4

/4/0 :: PM



Ch04.indd

Problem 4.4

/4/0 :: PM



Ch04.indd

Problem 4.5

/4/0 :: PM



Ch04.indd 9

Problem 4.6

/4/0 :: PM

Simpo PDF Merge and Split Unregistered Version - http://www.simpopdf.com Irwin, Basic Engineering Circuit Analysis, 9/E10

4.7

P4.7.

Figure P4.7


Ch04.indd 0

Problem 4.7

/4/0 :: PM



Ch04.indd

Problem 4.7

/4/0 :: PM



Ch04.indd

Problem 4.8

/4/0 :: PM


4.9

P4.9.

Figure P4.9


Ch04.indd

Problem 4.9

/4/0 :: PM



Ch04.indd 4

Problem 4.10

/4/0 :: PM


4.11

P4.11

Figure P4.11


Ch04.indd

Problem 4.11

/4/0 ::9 PM



Ch04.indd

Problem 4.11

/4/0 ::9 PM



Ch04.indd

Problem 4.11

/4/0 ::9 PM


4.12

4.11

P4.12.

Figure P4.12


Ch04.indd

Problem 4.12

/4/0 ::9 PM



Ch04.indd 9

Problem 4.12

/4/0 ::9 PM



Ch04.indd 0

Problem 4.12

/4/0 ::9 PM



Ch04.indd

Problem 4.13

/4/0 ::40 PM


4.14

P4.14.

Figure P4.14


Ch04.indd

Problem 4.14

/4/0 ::40 PM



Ch04.indd

Problem 4.14

/4/0 ::40 PM



Ch04.indd 4

Problem 4.15

/4/0 ::40 PM


P4.16

4.16

Figure P4.16


Ch04.indd

Problem 4.16

/4/0 ::4 PM


4.17

P4.17

Figure P4.17


Ch04.indd

Problem 4.17

/4/0 ::4 PM



Ch04.indd

Problem 4.18

/4/0 ::4 PM



Ch04.indd

Problem 4.19

/4/0 ::4 PM



Ch04.indd 9

Problem 4.20

/4/0 ::4 PM



Ch04.indd 0

Problem 4.21

/4/0 ::4 PM



Ch04.indd

Problem 4.22

/4/0 ::4 PM


P4.23.

4.23

Figure P4.23


Ch04.indd

Problem 4.23

/4/0 ::4 PM



Ch04.indd

Problem 4.24

/4/0 ::4 PM


4.25

P4.25

Figure P4.25


Ch04.indd 4

Problem 4.25

/4/0 ::44 PM


4.26 P4.26.

Figure P4.26


Ch04.indd

Problem 4.26

/4/0 ::44 PM



Ch04.indd

Problem 4.26

/4/0 ::44 PM



Ch04.indd

Problem 4.27

/4/0 ::44 PM


4.28

P4.28.

Figure P4.28


Ch04.indd

Problem 4.28

/4/0 ::4 PM



Ch04.indd 9

Problem 4.28

/4/0 ::4 PM


4.29

40

P4.29.

Figure P4.29


Ch04.indd 40

Problem 4.29

/4/0 :9:4 PM



Ch04.indd 4

41

Problem 4.30

/4/0 :9:0 PM



Ch04.indd 4

42

Problem 4.31

/4/0 :9:0 PM


4.32

43

P4.32.

Figure P4.32


Ch04.indd 4

Problem 4.32

/4/0 :9: PM



Ch04.indd 44

44

Problem 4.32

/4/0 :9:4 PM



Ch04.indd 4

45

Problem 4.33

/4/0 :9:4 PM



Ch04.indd 4

46

Problem 4.33

/4/0 :9: PM


4.34

47

P4.34.

Figure P4.34


Ch04.indd 4

Problem 4.34

/4/0 :9: PM



Ch04.indd 4

48

Problem 4.34

/4/0 :9:9 PM



Ch04.indd 49

49

Problem 4.35

/4/0 :9:0 PM


4.36

P4.36.

Figure P4.36


Ch04.indd 0

Problem 4.36

/4/0 :9: PM



Ch04.indd

Problem 4.37

/4/0 :9: PM



Ch04.indd

Problem 4.37

/4/0 :9: PM


4.38

P4.38.

Figure P4.38


Ch04.indd

Problem 4.38

/4/0 :9: PM



Ch04.indd 4

Problem 4.38

/4/0 :9: PM


4.39


Ch04.indd

Problem 4.39

/4/0 4:00:0 PM



Ch04.indd

Problem 4.40

/4/0 4:00:09 PM


4.41


Ch04.indd

Problem 4.41

/4/0 4:00:0 PM



Ch04.indd

Problem 4.41

/4/0 4:00: PM



Ch04.indd 9

Problem 4.42

/4/0 4:00: PM



Ch04.indd 0

Problem 4.42

/4/0 4:00: PM


4.43


Ch04.indd

Problem 4.43

/4/0 4:00:0 PM



Ch04.indd

Problem 4.44

/4/0 4:00:0 PM


4.45


Ch04.indd

Problem 4.45

/4/0 4:00:0 PM



Ch04.indd 4

Problem 4.46

/4/0 4:00: PM



Ch04.indd

Problem 4.46

/4/0 4:00: PM


4.47

P4.47

Figure P4.47


Ch04.indd

Problem 4.47

/4/0 4:00: PM



Ch04.indd

Problem 4.47

/4/0 4:00: PM



Ch04.indd

Problem 4.47

/4/0 4:00: PM


4.48 P4.48a,

P4.48b

Figure P4.48


Ch04.indd 9

Problem 4.48

/4/0 4:00:4 PM



Ch04.indd 0

Problem 4.48

/4/0 4:00:40 PM



Ch04.indd

Problem 4.48

/4/0 4:00:4 PM


4.49

P4.49

Figure P4.49


Ch04.indd

Problem 4.49

/4/0 4:00:4 PM



Ch04.indd

Problem 4.49

/4/0 4:00:4 PM



Ch04.indd 4

Problem 4.50

/4/0 4:00:49 PM



Ch04.indd

Problem 4.50

/4/0 4:00:49 PM



Ch04.indd

Problem 4.50

/4/0 4:00:49 PM


4.51

P4.51.

Figure P4.51


Ch04.indd

Problem 4.51

/4/0 4:00:0 PM



Ch04.indd

Problem 4.51

/4/0 4:00:0 PM



Ch04.indd 9

Problem 4.51

/4/0 4:00: PM



Ch04.indd 0

Problem 4.51

/4/0 4:00: PM



Ch04.indd

Problem 4.52

/4/0 4:00: PM



Ch04.indd

Problem 4.52

/4/0 4:00: PM



Ch04.indd

Problem 4.52

/4/0 4:00: PM

Simpo PDF Merge and Split Unregistered Version - http://www.simpopdf.com Irwin, Basic Engineering Circuit Analysis, 9/E84 Irwin, Basic Engineering Circuit Analysis, 9/E

1

SOLUTION: The correct answer is c. § R2 · § R · ¨ ¸(4) ¨ 2 ¸(2) © 4k ¹ © 12k ¹ Vo 3V 1 3 1m( R2 ) m( R2 ) 6 5 m( R2 ) 3 6 R2 3.6k:

Vo


Ch04.indd 4

Problem 4FE-1

/4/0 4:00: PM

Simpo PDF Merge and Split Unregistered Version - http://www.simpopdf.com Irwin,Irwin, BasicBasic Engineering Circuit Analysis, 9/E85 Engineering Circuit Analysis, 9/E 1

SOLUTION: 36k: 18k:

-

-

V1

+

6k:

Vo

+

6k: 12 k:

12k:

2V

3V 1V

The correct answer is b.

V1 V0 V0 V0

§ 18k · § 18k · 2¨ ¸(4) 1¨ ¸ © 6k ¹ © 12k ¹ § 36k · § 36k · V1 ¨ ¸ ¸ 3¨ © 6k ¹ © 12k ¹ § 36k · § 36k · 4.5¨ ¸ ¸ 3¨ © 6k ¹ © 12k ¹ 18V

4.5V

Chapter 4: Introduction to Operational Amplifiers Chapter 4: Operational Amplifiers Ch04.indd

Problem 4FE-2 Problem 4.FE-2 /4/0 4:00: PM

Simpo PDF Merge and Split Unregistered Version - http://www.simpopdf.com Irwin,Irwin, BasicBasic Engineering Circuit Analysis, 9/E86 Engineering Circuit Analysis, 9/E 1

SOLUTION: if 2:

i

0 -

Vo

+

3: 4:

6V

2V

The correct answer is a.

V0

V1 V2 6 2 2 .5 A R1 R2 3 4 i f R f (2.5)(2)

V0

5V

if


Ch04.indd

Chapter 4: Operational Amplifiers

Problem 4FE-3

Problem 4.FE-3

/4/0 4:00: PM

Simpo PDF Merge and Split Unregistered Version - http://www.simpopdf.com Irwin, Basic Engineering Circuit Analysis, 9/E87 Irwin, Basic Engineering Circuit Analysis, 9/E 1

SOLUTION: The correct answer is d. The op-amp is a noninverting op-amp. Rf A 1 R1 R f ( A 1) R1

Rf

(50 1)5k

245k:


Ch04.indd


Problem 4FE-4

Problem 4.FE-4

/4/0 4:00: PM

Simpo PDF Merge and Split Unregistered Version - http://www.simpopdf.com Irwin, Basic Engineering Circuit Analysis, 9/E88 Irwin, Basic Engineering Circuit Analysis, 9/E 1

SOLUTION: R1

6k:

+ -

R2

2k:

5V R3

8k:

1k:

Vo

2 k:

The correct answer is c. The 8k: and 2k: resistors make up a noninverting op-amp. § 8k · V1 ¨1 ¸5 25V © 2k ¹ Use nodal analysis at node A: Vo Vo Vi Vo 25 0 R3 R1 2k Chapter 4: Introduction to Operational Amplifiers Chapter 4: Operational Amplifiers Ch04.indd

Problem 4FE-5 Problem 4.FE-5 /4/0 4:00: PM

Simpo PDF Merge and Split Unregistered Version - http://www.simpopdf.com Irwin, Basic Engineering Circuit Analysis, 9/E89 2 Irwin, Basic Engineering Circuit Analysis, 9/E

Vo Vo 5 Vo 25 0 1k 6k 2k 6Vo Vo 5 3Vo 75 0

10Vo 80 Vo 8V


Ch04.indd 9

Problem 4.FE-5

Problem 4FE-5


/4/0 4:00: PM


5.1

1

P5.1

Figure P5.1

+ –

Chapter 5: Additional Techniques for Circuit Analysis

Ch05.indd 1

Problem 5.1

12/22/08 4:46:13 PM



Ch05.indd 2

2

Problem 5.2

12/22/08 4:46:16 PM


3

P5.3

5.3

Figure P5.3

_ |

| .

+

.


Ch05.indd 3

Problem 5.3

12/22/08 4:46:17 PM



Ch05.indd 4

4

Problem 5.4

12/22/08 4:46:17 PM


5.5

5

P5.5

Figure P5.5

6k

K

-T'0


Ch05.indd 5

Problem 5.5

12/22/08 4:46:17 PM



Ch05.indd 6

6

Problem 5.5

12/22/08 4:46:17 PM


5.6

7

P5.6

Figure P5.6


Ch05.indd 7

Problem 5.6

12/22/08 4:46:18 PM



Ch05.indd 8

8

Problem 5.6

12/22/08 4:46:18 PM


5.7

9

P5.7

Figure P5.7


Ch05.indd 9

Problem 5.7

12/22/08 4:46:18 PM



Ch05.indd 10

10

Problem 5.7

12/22/08 4:46:18 PM



Ch05.indd 11

11

Problem 5.8

12/22/08 4:46:18 PM


5.9

12

P5.9

Figure P5.9

-

-


Ch05.indd 12

Problem 5.9

12/22/08 4:46:18 PM



Ch05.indd 13

13

Problem 5.9

12/22/08 4:46:18 PM


5.10

14

P5.10

Figure P5.10


Ch05.indd 14

Problem 5.10

12/22/08 4:46:19 PM



Ch05.indd 15

15

Problem 5.10

12/22/08 4:46:19 PM



Ch05.indd 16

16

Problem 5.10

12/22/08 4:46:19 PM


17

P5.11

5.11

Figure P5.11


Ch05.indd 17

Problem 5.11

12/22/08 4:46:19 PM



Ch05.indd 18

18

Problem 5.11

12/22/08 4:46:19 PM



Ch05.indd 19

19

Problem 5.11

12/22/08 4:46:19 PM


20

P5.12

5.12

Figure P5.12


Ch05.indd 20

Problem 5.12

12/22/08 4:46:19 PM



Ch05.indd 21

21

Problem 5.12

12/22/08 4:46:20 PM



Ch05.indd 22

22

Problem 5.12

12/22/08 4:46:20 PM


5.13

23

P5.13

Figure P5.13


Ch05.indd 23

Problem 5.13

12/22/08 4:46:20 PM


24

'


Ch05.indd 24

Problem 5.13

12/22/08 4:46:20 PM


25

P5.14

5.14

Figure P5.14


Ch05.indd 25

Problem 5.14

12/22/08 4:46:20 PM



Ch05.indd 26

26

Problem 5.14

12/22/08 4:46:20 PM



Ch05.indd 27

27

Problem 5.14

12/22/08 4:46:20 PM



Ch05.indd 28

28

Problem 5.15

12/22/08 4:46:21 PM



Ch05.indd 29

29

Problem 5.15

12/22/08 4:46:21 PM


30

5.16

P5.16.

Figure P5.16

A^


Ch05.indd 30

Problem 5.16

12/22/08 4:46:21 PM



Ch05.indd 31

31

Problem 5.16

12/22/08 4:46:21 PM


32

eq/

eq/


Ch05.indd 32

Problem 5.16

12/22/08 4:46:21 PM



Ch05.indd 33

33

Problem 5.16

12/22/08 4:46:21 PM


5.17

34

P5.17

Figure P5.17


Ch05.indd 34

Problem 5.17

12/22/08 4:46:22 PM



Ch05.indd 35

35

Problem 5.17

12/22/08 4:46:22 PM



Ch05.indd 36

36

Problem 5.17

12/22/08 4:46:23 PM



Ch05.indd 37

37

Problem 5.18

12/22/08 4:46:24 PM



Ch05.indd 38

38

Problem 5.18

12/22/08 4:46:24 PM


39

5.19

P5.19.

Figure P5.19

'

0


Ch05.indd 39

Problem 5.19

12/22/08 4:46:24 PM



Ch05.indd 40

40

Problem 5.19

12/22/08 4:46:25 PM


41

'''


Ch05.indd 41

Problem 5.19

12/22/08 4:46:25 PM



Ch05.indd 42

42

Problem 5.19

12/22/08 4:46:25 PM



Ch05.indd 43

43

Problem 5.20

12/22/08 4:46:25 PM


44

5.21 P5.21

Figure P5.21


Ch05.indd 44

Problem 5.21

12/22/08 4:46:25 PM



Ch05.indd 45

45

Problem 5.21

12/22/08 4:46:26 PM


5.22

46

P5.22

Figure P5.22

+ -


Ch05.indd 46

Problem 5.22

12/22/08 4:46:28 PM



Ch05.indd 47

47

Problem 5.22

12/22/08 4:46:28 PM


5.23

48

P5.23

Figure P5.23

+ _


Ch05.indd 48

Problem 5.23

12/22/08 4:46:28 PM



Ch05.indd 49

49

Problem 5.23

12/22/08 4:46:30 PM


50

5.24 P5.24.

Figure P5.24


Ch05.indd 50

Problem 5.24

12/22/08 4:46:31 PM



Ch05.indd 51

51

Problem 5.24

12/22/08 4:46:31 PM


5.25

52

P5.25

Figure P5.25


Ch05.indd 52

Problem 5.25

12/22/08 4:46:31 PM



Ch05.indd 53

53

Problem 5.25

12/22/08 4:46:32 PM



Ch05.indd 54

54

Problem 5.25

12/22/08 4:46:33 PM



Ch05.indd 55

55

Problem 5.26

12/22/08 4:46:34 PM



Ch05.indd 56

56

Problem 5.26

12/22/08 4:46:34 PM


57

P5.27

5.27

Figure P5.27

+ -


Ch05.indd 57

Problem 5.27

12/22/08 4:46:34 PM



Ch05.indd 58

58

Problem 5.27

12/22/08 4:46:34 PM



Ch05.indd 59

59

Problem 5.28

12/22/08 4:46:34 PM



Ch05.indd 60

60

Problem 5.28

12/22/08 4:46:35 PM


5.29

61

P5.29

Figure P5.29


Ch05.indd 61

Problem 5.29

12/22/08 4:46:35 PM



Ch05.indd 62

62

Problem 5.29

12/22/08 4:46:35 PM


5.30

63

P5.30

Figure P5.30


Ch05.indd 63

Problem 5.30

12/22/08 4:46:35 PM


64

"


Ch05.indd 64

Problem 5.30

12/22/08 4:46:35 PM



Ch05.indd 65

65

Problem 5.30

12/22/08 4:46:35 PM


5.31

66

P5.31

Figure P5.31


Ch05.indd 66

Problem 5.31

12/22/08 4:46:35 PM



Ch05.indd 67

67

Problem 5.31

12/22/08 4:46:35 PM



Ch05.indd 68

68

Problem 5.31

12/22/08 4:46:36 PM


69

P5.32

5.32

Figure P5.32

+ –


Ch05.indd 69

Problem 5.32

12/22/08 4:46:36 PM



Ch05.indd 70

70

Problem 5.32

12/22/08 4:46:36 PM



Ch05.indd 71

71

Problem 5.33

12/22/08 4:46:36 PM



Ch05.indd 72

72

Problem 5.33

12/22/08 4:46:36 PM


73

5.34 P5.34.

Figure P5.34


Ch05.indd 73

Problem 5.34

12/22/08 4:46:36 PM



Ch05.indd 74

74

Problem 5.34

12/22/08 4:46:36 PM


75

P5.35

5.35

Figure P5.35


Ch05.indd 75

Problem 5.35

12/22/08 4:46:36 PM



Ch05.indd 76

76

Problem 5.35

12/22/08 4:46:37 PM



Ch05.indd 77

77

Problem 5.35

12/22/08 4:46:38 PM


78

5.36 P5.36.

Figure P5.36


Ch05.indd 78

Problem 5.36

12/22/08 4:46:39 PM



Ch05.indd 79

79

Problem 5.36

12/22/08 4:46:39 PM



Ch05.indd 80

80

Problem 5.36

12/22/08 4:46:39 PM



Ch05.indd 81

81

Problem 5.36

12/22/08 4:46:39 PM



Ch05.indd 82

82

Problem 5.37

12/22/08 4:46:40 PM



Ch05.indd 83

83

Problem 5.37

12/22/08 4:46:40 PM



Ch05.indd 84

84

Problem 5.38

12/22/08 4:46:40 PM


85

5.39 P5.39,

Figure P5.39


Ch05.indd 85

Problem 5.39

12/22/08 4:46:40 PM



Ch05.indd 86

86

Problem 5.39

12/22/08 4:46:41 PM


5.40

87

P5.40

Figure P5.40


Ch05.indd 87

Problem 5.40

12/22/08 4:46:42 PM



Ch05.indd 88

88

Problem 5.40

12/22/08 4:46:42 PM


89

5.41 P5.41.

Figure P5.41


Ch05.indd 89

Problem 5.41

12/22/08 4:46:42 PM



Ch05.indd 90

90

Problem 5.41

12/22/08 4:46:43 PM



Ch05.indd 91

91

Problem 5.42

12/22/08 4:46:44 PM



Ch05.indd 92

92

Problem 5.42

12/22/08 4:46:45 PM


93

P5.43

5.43

Figure P5.43

+ -


Ch05.indd 93

Problem 5.43

12/22/08 4:46:45 PM



Ch05.indd 94

94

Problem 5.43

12/22/08 4:46:45 PM



Ch05.indd 95

95

Problem 5.43

12/22/08 4:46:45 PM



Ch05.indd 96

96

Problem 5.44

12/22/08 4:46:45 PM



Ch05.indd 97

97

Problem 5.44

12/22/08 4:46:45 PM


98

5.45 P5.45.

Figure P5.45

+ –


Ch05.indd 98

Problem 5.45

12/22/08 4:46:45 PM



Ch05.indd 99

99

Problem 5.45

12/22/08 4:46:47 PM



Ch05.indd 100

100

Problem 5.45

12/22/08 4:46:48 PM


5.46

101

P5.46

Figure P5.46

+ -


Ch05.indd 101

Problem 5.46

12/22/08 4:46:49 PM



Ch05.indd 102

102

Problem 5.46

12/22/08 4:46:49 PM



Ch05.indd 103

103

Problem 5.46

12/22/08 4:46:49 PM



Ch05.indd 104

104

Problem 5.47

12/22/08 4:46:49 PM



Ch05.indd 105

105

Problem 5.47

12/22/08 4:46:50 PM


106

P5.48

5.48

Figure P5.48

-+


Ch05.indd 106

Problem 5.48

12/22/08 4:46:50 PM



Ch05.indd 107

107

Problem 5.48

12/22/08 4:46:50 PM



Ch05.indd 108

108

Problem 5.48

12/22/08 4:46:50 PM



Ch05.indd 109

109

Problem 5.48

12/22/08 4:46:50 PM


110

5.49 P5.49.

Figure P5.49

+ -


Ch05.indd 110

Problem 5.49

12/22/08 4:46:50 PM



Ch05.indd 111

111

Problem 5.49

12/22/08 4:46:50 PM



Ch05.indd 112

112

Problem 5.49

12/22/08 4:46:51 PM



Ch05.indd 113

113

Problem 5.49

12/22/08 4:46:51 PM



Ch05.indd 114

114

Problem 5.50

12/22/08 4:46:51 PM



Ch05.indd 115

115

Problem 5.50

12/22/08 4:46:51 PM


116

P5.51

5.51

Figure P5.51


Ch05.indd 116

Problem 5.51

12/22/08 4:46:51 PM



Ch05.indd 117

117

Problem 5.51

12/22/08 4:46:51 PM


118

5.52 P5.52

Figure P5.52


Ch05.indd 118

Problem 5.52

12/22/08 4:46:51 PM



Ch05.indd 119

119

Problem 5.52

12/22/08 4:46:52 PM


120

P5.53,

5.53

Figure P5.53


Ch05.indd 120

Problem 5.53

12/22/08 4:46:52 PM



Ch05.indd 121

121

Problem 5.53

12/22/08 4:46:52 PM


122

5.54 P5.54.

Figure P5.54

>


Ch05.indd 122

Problem 5.54

12/22/08 4:46:52 PM



Ch05.indd 123

123

Problem 5.54

12/22/08 4:46:52 PM



Ch05.indd 124

124

Problem 5.54

12/22/08 4:46:52 PM



Ch05.indd 125

125

Problem 5.55

12/22/08 4:46:52 PM



Ch05.indd 126

126

Problem 5.55

12/22/08 4:46:53 PM


127

5.56 P5.56.

Figure P5.56


Ch05.indd 127

Problem 5.56

12/22/08 4:46:53 PM



Ch05.indd 128

128

Problem 5.56

12/22/08 4:46:53 PM



Ch05.indd 129

129

Problem 5.57

12/22/08 4:46:53 PM


130

5.58 P5.58.

Figure P5.58

-+ +


Ch05.indd 130

Problem 5.58

12/22/08 4:46:53 PM



Ch05.indd 131

131

Problem 5.58

12/22/08 4:46:54 PM



Ch05.indd 132

132

Problem 5.58

12/22/08 4:46:54 PM



Ch05.indd 133

133

Problem 5.59

12/22/08 4:46:54 PM



Ch05.indd 134

134

Problem 5.59

12/22/08 4:46:54 PM


5.60

135

P5.60

Figure P5.60


Ch05.indd 135

Problem 5.60

12/22/08 4:46:54 PM



Ch05.indd 136

136

Problem 5.60

12/22/08 4:46:54 PM



Ch05.indd 137

137

Problem 5.60

12/22/08 4:46:54 PM



Ch05.indd 138

138

Problem 5.61

12/22/08 4:46:54 PM



Ch05.indd 139

139

Problem 5.61

12/22/08 4:46:55 PM



Ch05.indd 140

140

Problem 5.62

12/22/08 4:46:55 PM



Ch05.indd 141

141

Problem 5.62

12/22/08 4:46:55 PM



Ch05.indd 142

142

Problem 5.63

12/22/08 4:46:55 PM



Ch05.indd 143

143

Problem 5.63

12/22/08 4:46:56 PM


5.64

144

P5.64

Figure P5.64


Ch05.indd 144

Problem 5.64

12/22/08 4:46:56 PM



Ch05.indd 145

145

Problem 5.64

12/22/08 4:46:56 PM



Ch05.indd 146

146

Problem 5.64

12/22/08 4:46:56 PM


5.65

147

P5.65

Figure P5.65


Ch05.indd 147

Problem 5.65

12/22/08 4:46:56 PM



Ch05.indd 148

148

Problem 5.65

12/22/08 4:46:57 PM



Ch05.indd 149

149

Problem 5.65

12/22/08 4:46:57 PM



Ch05.indd 150

150

Problem 5.66

12/22/08 4:46:57 PM



Ch05.indd 151

151

Problem 5.66

12/22/08 4:46:57 PM


152

5.67 P5.67.

Figure P5.67

2

x

+ -

+ x


Ch05.indd 152

Problem 5.67

12/22/08 4:46:57 PM


153

-


Ch05.indd 153

Problem 5.67

12/22/08 4:46:58 PM



Ch05.indd 154

154

Problem 5.67

12/22/08 4:46:58 PM


155

5.68 P5.68

Figure P5.68


Ch05.indd 155

Problem 5.68

12/22/08 4:46:58 PM



Ch05.indd 156

156

Problem 5.68

12/22/08 4:46:59 PM


157

5.69 P5.69

Figure P5.69

x


Ch05.indd 157

Problem 5.69

12/22/08 4:47:01 PM



Ch05.indd 158

158

Problem 5.69

12/22/08 4:47:01 PM



Ch05.indd 159

159

Problem 5.70

12/22/08 4:47:01 PM



Ch05.indd 160

160

Problem 5.70

12/22/08 4:47:01 PM



Ch05.indd 161

161

Problem 5.71

12/22/08 4:47:01 PM



Ch05.indd 162

162

Problem 5.71

12/22/08 4:47:01 PM


163

5.72 P5.72.

Figure P5.72


Ch05.indd 163

Problem 5.72

12/22/08 4:47:02 PM



Ch05.indd 164

164

Problem 5.72

12/22/08 4:47:03 PM


165

5.73 P5.73

Figure P5.73

–+


Ch05.indd 165

Problem 5.73

12/22/08 4:47:04 PM



Ch05.indd 166

166

Problem 5.73

12/22/08 4:47:06 PM


5.74

167

P5.74

Figure P5.74


Ch05.indd 167

Problem 5.74

12/22/08 4:47:07 PM



Ch05.indd 168

168

Problem 5.74

12/22/08 4:47:09 PM



Ch05.indd 169

169

Problem 5.75

12/22/08 4:47:10 PM



Ch05.indd 170

170

Problem 5.76

12/22/08 4:47:10 PM



Ch05.indd 171

171

Problem 5.76

12/22/08 4:47:11 PM


5.77

172

P5.77

Figure P5.77


Ch05.indd 172

Problem 5.77

12/22/08 4:47:11 PM



Ch05.indd 173

173

Problem 5.77

12/22/08 4:47:12 PM



Ch05.indd 174

174

Problem 5.78

12/22/08 4:47:14 PM



Ch05.indd 175

175

Problem 5.78

12/22/08 4:47:14 PM


5.79

176

P5.79

Figure P5.79


Ch05.indd 176

Problem 5.79

12/22/08 4:47:14 PM



Ch05.indd 177

177

Problem 5.79

12/22/08 4:47:14 PM


5.80

178

P5.80

Figure P5.80


Ch05.indd 178

Problem 5.80

12/22/08 4:47:14 PM



Ch05.indd 179

179

Problem 5.81

12/22/08 4:47:15 PM



Ch05.indd 180

180

Problem 5.81

12/22/08 4:47:15 PM


5.82

181

P5.82

Figure P5.82

+–


Ch05.indd 181

Problem 5.82

12/22/08 4:47:15 PM



Ch05.indd 182

182

Problem 5.82

12/22/08 4:47:15 PM



Ch05.indd 183

183

Problem 5.82

12/22/08 4:47:15 PM



Ch05.indd 184

184

Problem 5.83

12/22/08 4:47:15 PM



Ch05.indd 185

185

Problem 5.83

12/22/08 4:47:16 PM


5.84

186

P5.84

Figure P5.84


Ch05.indd 186

Problem 5.84

12/22/08 4:47:16 PM



Ch05.indd 187

187

Problem 5.84

12/22/08 4:47:16 PM


5.85

188

P5.85

Figure P5.85


Ch05.indd 188

Problem 5.85

12/22/08 4:47:16 PM



Ch05.indd 189

189

Problem 5.85

12/22/08 4:47:16 PM


190

5.86 P5.86.

Figure P5.86


Ch05.indd 190

Problem 5.86

12/22/08 4:47:16 PM



Ch05.indd 191

191

Problem 5.86

12/22/08 4:47:17 PM



Ch05.indd 192

192

Problem 5.87

12/22/08 4:47:17 PM



Ch05.indd 193

193

Problem 5.87

12/22/08 4:47:17 PM


194

5.88 P5.88.

Figure P5.88


Ch05.indd 194

Problem 5.88

12/22/08 4:47:17 PM



Ch05.indd 195

195

Problem 5.88

12/22/08 4:47:24 PM



Ch05.indd 196

196

Problem 5.89

12/22/08 4:47:24 PM



Ch05.indd 197

197

Problem 5.89

12/22/08 4:47:25 PM


198

5.90 P5.90.

Figure P5.90


Ch05.indd 198

Problem 5.90

12/22/08 4:47:25 PM



Ch05.indd 199

199

Problem 5.90

12/22/08 4:47:25 PM



Ch05.indd 200

200

Problem 5.91

12/22/08 4:47:25 PM



Ch05.indd 201

201

Problem 5.91

12/22/08 4:47:25 PM



Ch05.indd 202

202

Problem 5.92

12/22/08 4:47:25 PM



Ch05.indd 203

203

Problem 5.92

12/22/08 4:47:26 PM



Ch05.indd 204

204

Problem 5.93

12/22/08 4:47:26 PM



Ch05.indd 205

205

Problem 5.93

12/22/08 4:47:26 PM


5.94

206

P5.94

Figure P5.94


Ch05.indd 206

Problem 5.94

12/22/08 4:47:26 PM


5.95

207

P5.95

Figure P5.95


Ch05.indd 207

Problem 5.95

12/22/08 4:47:27 PM



Ch05.indd 208

208

Problem 5.95

12/22/08 4:47:27 PM



Ch05.indd 209

209

Problem 5.96

12/22/08 4:47:27 PM



Ch05.indd 210

210

Problem 5.96

12/22/08 4:47:27 PM


211

5.97 P5.97.

Figure P5.97


Ch05.indd 211

Problem 5.97

12/22/08 4:47:27 PM



Ch05.indd 212

212

Problem 5.97

12/22/08 4:47:29 PM



Ch05.indd 213

213

Problem 5.97

12/22/08 4:47:30 PM


214

5.98 P5.98.

Figure P5.98


Ch05.indd 214

Problem 5.98

12/22/08 4:47:31 PM



Ch05.indd 215

215

Problem 5.98

12/22/08 4:47:31 PM


216

5.99 P5.99.

Figure P5.99


Ch05.indd 216

Problem 5.99

12/22/08 4:47:32 PM



Ch05.indd 217

217

Problem 5.99

12/22/08 4:47:32 PM



Ch05.indd 218

218

Problem 5.99

12/22/08 4:47:32 PM



Ch05.indd 219

219

Problem 5.100

12/22/08 4:47:32 PM



Ch05.indd 220

220

Problem 5.100

12/22/08 4:47:32 PM


221

5.101 P5.101.

Figure P5.101


Ch05.indd 221

Problem 5.101

12/22/08 4:47:32 PM


222

=


Ch05.indd 222

Problem 5.101

12/22/08 4:47:33 PM



Ch05.indd 223

223

Problem 5.101

12/22/08 4:47:33 PM



Ch05.indd 224

224

Problem 5.102

12/22/08 4:47:33 PM


225

5.103 P5.103.

Figure P5.103

+ + –

– +

–


Ch05.indd 225

Problem 5.103

12/22/08 4:47:34 PM



Ch05.indd 226

226

Problem 5.103

12/22/08 4:47:34 PM


227

5.104 P5.104.

Figure P5.104

0

+

-


Ch05.indd 227

Problem 5.104

12/22/08 4:47:34 PM



Ch05.indd 228

228

Problem 5.104

12/22/08 4:47:34 PM


229

5.105 P5.105.

Figure P5.105


Ch05.indd 229

Problem 5.105

12/22/08 4:47:34 PM



Ch05.indd 230

230

Problem 5.105

12/22/08 4:47:34 PM


5.106

231

P5.106.

Figure P5.106


Ch05.indd 231

Problem 5.106

12/22/08 4:47:34 PM



Ch05.indd 232

232

Problem 5.106

12/22/08 4:47:34 PM



Ch05.indd 233

233

Problem 5.106

12/22/08 4:47:35 PM


234

5.107 P5.107.

Figure P5.107


Ch05.indd 234

Problem 5.107

12/22/08 4:47:35 PM



Ch05.indd 235

235

Problem 5.107

12/22/08 4:47:35 PM



Ch05.indd 236

236

Problem 5.107

12/22/08 4:47:35 PM



Ch05.indd 237

237

Problem 5.108

12/22/08 4:47:35 PM



Ch05.indd 238

238

Problem 5.108

12/22/08 4:47:35 PM


239

5.109 P5.109,

Figure P5.109

+ + -

-


Ch05.indd 239

Problem 5.109

12/22/08 4:47:35 PM



Ch05.indd 240

240

Problem 5.109

12/22/08 4:47:38 PM


241

5.110

P5.110

Figure P5.110

+ -


Ch05.indd 241

Problem 5.110

12/22/08 4:47:39 PM



Ch05.indd 242

242

Problem 5.110

12/22/08 4:47:41 PM


243

5.111 P5.111.

Figure P5.111 SOLUTION:


Ch05.indd 243

Problem 5.111

12/22/08 4:47:42 PM



Ch05.indd 244

244

Problem 5.111

12/22/08 4:47:43 PM



Ch05.indd 245

245

Problem 5.112

12/22/08 4:47:43 PM


246

5.113 P5.113.

Figure P5.113 SOLUTION:


Ch05.indd 246

Problem 5.113

12/22/08 4:47:43 PM



Ch05.indd 247

247

Problem 5.113

12/22/08 4:47:43 PM



Ch05.indd 248

248

Problem 5.114

12/22/08 4:47:43 PM


249

SOLUTION:

I' R1

R2

R4

Voc'

4mA

R3

The correct answer is d. Use superposition. § · R1 ¸¸(4m) I ' ¨¨ © R1 R2 R3 ¹ 1k § · I' ¨ ¸(4m) 1mA © 1k 1k 2k ¹ Voc' I ' R3 (1m)(2k )

Voc'

2V


Ch05.indd 249

Problem 5FE-1

12/22/08 4:47:44 PM


250

R2

R1

R4

12V

Voc"

R3

Voc"

§ · R3 ¨¨ ¸¸(12) © R1 R2 R3 ¹ 2k § · ¨ ¸(12) © 1k 1k 2k ¹ 6V

Voc

Voc' Voc"

Voc" Voc"

26

8V

R2

R1

R4

R3

RTH

>R

RTH

2k (2k ) 1k 2k 2k

1

R2 R3 @ R4 2k :


Ch05.indd 250

RTH

Problem 5FE-1

12/22/08 4:47:44 PM


RTH

Voc

PLmax

RL PLmax

8V

251

2k:

RL

I L2 RL

RTH for maximum power. § Voc ¨¨ © 2 RTH PLmax

2

· ¸¸ RTH ¹ Voc2 4 RTH

82 4(2k )

8mW


Ch05.indd 251

Problem 5FE-1

12/22/08 4:47:44 PM


252

SOLUTION: Vx

2k:

1k:

I

12V

Voc

+ -

2V x

The correct answer is c. 2kI 1kI 2V x I ( 2k ) 2kI 1kI 2(2kI ) 12 I mA 7 12 2kI Voc 12 Vx 12

12

Voc

§ 12 · 2k ¨ m ¸ Voc ©7 ¹ 8.57V


Ch05.indd 252

Problem 5FE-2

12/22/08 4:47:44 PM


253

Vx

2k:

I1

12V

I1

I sc

§ 12 · ¨ ¸ © 2k ¹

RTH RL

2(2kI1 ) 0 24mA I 2 I sc 6m (24m)

2V x

30mA

285 .7:

RL

Voc2 4 RTH

(8.57) 2 4(285.7)

64.3mW


Ch05.indd 253

-

Voc 8.57 285.7: I sc 30m RTH for maximum power.

8.57V

PLmax

+

0

RTH

Voc

I2

6mA

1kI 2 2V x

1kI 2 I2 I1 I sc

1k:

Problem 5FE-2

12/22/08 4:47:45 PM


254

SOLUTION:

Ix

R1

12V

I R2

2I x

text

Voc

The correct answer is a. I I x 2I x I 3I x 12 3I x 12 I 12 3I x 12(3I x ) 4 Ix A 13

Voc

12 I

§4· 12(3I x ) 12(3)¨ ¸ 11.08V © 13 ¹


Ch05.indd 254

Problem 5FE-3

12/22/08 4:47:45 PM


255

Ix R1

I2 12V

R2

I sc I x I 2 2 I x I2 0A I sc 3I x 12 3I x

Ix I sc RTH

4A 3(4) 12 A Voc 11.08 12 I sc

RTH

Voc

2I x

3I x I 2

0.92:

0.92:

RL

0.92 12 12.92: 12.92: for maximum power transfer.


Ch05.indd 255

12:

11.08V

RL RL

I sc

text

Problem 5FE-3

12/22/08 4:47:45 PM


256

SOLUTION:

2:

I' 3:

10 A

2:

4:

The correct answer is c. Use superposition. § 2 · I' ¨ ¸(10) 4 A © 2 3¹

I"

2:

3:


Ch05.indd 256

4:

20V

2:

Problem 5FE-4

12/22/08 4:47:46 PM


I"

I I I

20 4A 5 I' I" 4 4 0A


Ch05.indd 257

257

Problem 5FE-4

12/22/08 4:47:46 PM


258

SOLUTION: Use superposition.

a 4:

I 2:

3:

'

12 A

Voc'

b The correct answer is b.

I' Voc'

§ 4 · ¨ ¸(12) ©2 4¹ I ' (2)

8A

8(2) 16V


Ch05.indd 258

Problem 5FE-5

12/22/08 4:47:46 PM


259

a 3:

4: 12V

2:

Voc"

b Voc"

§ 2 · ¸(12) ¨ ©2 4¹

Voc

16 4 12V

4V


Ch05.indd 259

Problem 5FE-5

12/22/08 4:47:46 PM


1

6.1

Chapter 6: Energy Storage Elements: The Capacitor and the Inductor

Ch06.indd 1

Problem 6.1

12/23/08 1:33:17 PM


2

6.2


Ch06.indd 2

Problem 6.2

12/23/08 1:33:18 PM


3

6.3


Ch06.indd 3

Problem 6.3

12/23/08 1:33:18 PM


4

6.4


Ch06.indd 4

Problem 6.4

12/23/08 1:33:18 PM


5

P6.5.

6.5

Figure P6.5


Ch06.indd 5

Problem 6.5

12/23/08 1:33:18 PM



Ch06.indd 6

6

Problem 6.5

12/23/08 1:33:18 PM


7

6.6 P6.6.

Figure P6.6


Ch06.indd 7

Problem 6.6

12/23/08 1:33:18 PM



Ch06.indd 8

8

Problem 6.6

12/23/08 1:33:18 PM


9

6.7 P6.7.

Figure P6.7


Ch06.indd 9

Problem 6.7

12/23/08 1:33:18 PM



Ch06.indd 10

10

Problem 6.7

12/23/08 1:33:18 PM


11

6.8 P6.8.

Figure P6.8


Ch06.indd 11

Problem 6.8

12/23/08 1:33:18 PM



Ch06.indd 12

12

Problem 6.8

12/23/08 1:33:19 PM



Ch06.indd 13

13

Problem 6.9

12/23/08 1:33:19 PM



Ch06.indd 14

14

Problem 6.9

12/23/08 1:33:19 PM



Ch06.indd 15

15

Problem 6.10

12/23/08 1:33:19 PM



Ch06.indd 16

16

Problem 6.10

12/23/08 1:33:19 PM


17

6.11 P6.11.

Figure P6.11


Ch06.indd 17

Problem 6.11

12/23/08 1:33:20 PM



Ch06.indd 18

18

Problem 6.11

12/23/08 1:33:20 PM


19

6.12 P6.12.

Figure P6.12


Ch06.indd 19

Problem 6.12

12/23/08 1:33:20 PM



Ch06.indd 20

20

Problem 6.13

12/23/08 1:33:20 PM



Ch06.indd 21

21

Problem 6.13

12/23/08 1:33:20 PM



Ch06.indd 22

22

Problem 6.14

12/23/08 1:33:20 PM



Ch06.indd 23

23

Problem 6.14

12/23/08 1:33:21 PM


6.15

24

P6.15a

P6.15b.

Figure P6.15


Ch06.indd 24

Problem 6.15

12/23/08 1:33:21 PM



Ch06.indd 25

25

Problem 6.15

12/23/08 1:33:21 PM



Ch06.indd 26

26

Problem 6.15

12/23/08 1:33:21 PM


27

P6.16,

6.16

Figure P6.16


Ch06.indd 27

Problem 6.16

12/23/08 1:33:21 PM



Ch06.indd 28

28

Problem 6.16

12/23/08 1:33:21 PM



Ch06.indd 29

29

Problem 6.17

12/23/08 1:33:21 PM


30

6.18


Ch06.indd 30

Problem 6.18

12/23/08 1:33:22 PM



Ch06.indd 31

31

Problem 6.19

12/23/08 1:33:22 PM


32

6.20


Ch06.indd 32

Problem 6.20

12/23/08 1:33:22 PM



Ch06.indd 33

33

Problem 6.21

12/23/08 1:33:22 PM


34

6.22


Ch06.indd 34

Problem 6.22

12/23/08 1:33:22 PM


35

-


Ch06.indd 35

Problem 6.22

12/23/08 1:33:22 PM



Ch06.indd 36

36

Problem 6.23

12/23/08 1:33:22 PM



Ch06.indd 37

37

Problem 6.23

12/23/08 1:33:22 PM


38

6.24 P6.24.

Figure P6.24


Ch06.indd 38

Problem 6.24

12/23/08 1:33:23 PM


39

t


Ch06.indd 39

Problem 6.24

12/23/08 1:33:23 PM


40

6.25 P6.25.

Figure P6.25


Ch06.indd 40

Problem 6.25

12/23/08 1:33:23 PM



Ch06.indd 41

41

Problem 6.25

12/23/08 1:33:23 PM


6.26

42

P6.26.

Figure P6.26


Ch06.indd 42

Problem 6.26

12/23/08 1:33:23 PM



Ch06.indd 43

43

Problem 6.27

12/23/08 1:33:23 PM



Ch06.indd 44

44

Problem 6.27

12/23/08 1:33:24 PM



Ch06.indd 45

45

Problem 6.28

12/23/08 1:33:24 PM



Ch06.indd 46

46

Problem 6.28

12/23/08 1:33:24 PM


47

6.29 P6.29.

Figure P6.29


Ch06.indd 47

Problem 6.29

12/23/08 1:33:24 PM



Ch06.indd 48

48

Problem 6.29

12/23/08 1:33:25 PM



Ch06.indd 49

49

Problem 6.29

12/23/08 1:33:25 PM



Ch06.indd 50

50

Problem 6.30

12/23/08 1:33:25 PM



Ch06.indd 51

51

Problem 6.30

12/23/08 1:33:25 PM


52

6.31 P6.31.

Figure P6.31


Ch06.indd 52

Problem 6.31

12/23/08 1:33:25 PM



Ch06.indd 53

53

Problem 6.31

12/23/08 1:33:25 PM


6.32

54

The waveform for the current in the 2-H inductor shown in Fig. P6.32a is given in Fig. P6.32b. Determine the following quantities (a) the energy stored in the inductor at t = 1.5 ms, (b) the energy stored in the inductor at t = 7.5 ms, (c) vL(t) = 1.5 ms, (d) vL(t) at t = 6.25 ms, and (e) vL(t) at t = 2.75 ms.

Figure P6.32


Ch06.indd 54

Problem 6.32

12/24/08 9:07:34 AM



Ch06.indd 55

55

Problem 6.32

12/23/08 1:33:26 PM



Ch06.indd 56

56

Problem 6.32

12/23/08 1:33:26 PM


57

6.33


Ch06.indd 57

Problem 6.33

12/23/08 1:33:26 PM



Ch06.indd 58

58

Problem 6.34

12/23/08 1:33:26 PM



Ch06.indd 59

59

Problem 6.35

12/23/08 1:33:26 PM



Ch06.indd 60

60

Problem 6.35

12/23/08 1:33:26 PM


6.36

61

6.36

Figure P6.36


Ch06.indd 61

Problem 6.36

12/23/08 1:33:27 PM



Ch06.indd 62

62

Problem 6.36

12/23/08 1:33:27 PM


6.37

63

P6.37a P6.37b,

Figure P6.37


Ch06.indd 63

Problem 6.37

12/23/08 1:33:27 PM



Ch06.indd 64

64

Problem 6.37

12/23/08 1:33:27 PM


65

/


Ch06.indd 65

Problem 6.37

12/23/08 1:33:27 PM


6.38

66

P6.38

Figure P6.38


Ch06.indd 66

Problem 6.38

12/23/08 1:33:27 PM


67

c


Ch06.indd 67

Problem 6.38

12/23/08 1:33:27 PM



Ch06.indd 68

68

Problem 6.39

12/23/08 1:33:27 PM



Ch06.indd 69

69

Problem 6.40

12/23/08 1:33:28 PM


70

6.41


Ch06.indd 70

Problem 6.41

12/23/08 1:33:28 PM



Ch06.indd 71

71

Problem 6.41

12/23/08 1:33:28 PM



Ch06.indd 72

72

Problem 6.41

12/23/08 1:33:28 PM


73

6.42


Ch06.indd 73

Problem 6.42

12/23/08 1:33:28 PM



Ch06.indd 74

74

Problem 6.42

12/23/08 1:33:28 PM



Ch06.indd 75

75

Problem 6.43

12/23/08 1:33:28 PM


76

6.44


Ch06.indd 76

Problem 6.44

12/23/08 1:33:28 PM



Ch06.indd 77

77

Problem 6.44

12/23/08 1:33:28 PM



Ch06.indd 78

78

Problem 6.44

12/23/08 1:33:29 PM


79

6.45


Ch06.indd 79

Problem 6.45

12/23/08 1:33:29 PM


80

6.46


Ch06.indd 80

Problem 6.46

12/23/08 1:33:29 PM



Ch06.indd 81

81

Problem 6.47

12/23/08 1:33:29 PM



Ch06.indd 82

82

Problem 6.48

12/23/08 1:33:29 PM


83

6.49 P6.49.

Figure P6.49


Ch06.indd 83

Problem 6.49

12/23/08 1:33:29 PM



Ch06.indd 84

84

Problem 6.49

12/23/08 1:33:29 PM


85

6.50 P6.50

Figure P6.50


Ch06.indd 85

Problem 6.50

12/23/08 1:33:29 PM



Ch06.indd 86

86

Problem 6.50

12/23/08 1:33:30 PM


6.51

87

P6.51

Figure P6.51


Ch06.indd 87

Problem 6.51

12/23/08 1:33:30 PM



Ch06.indd 88

88

Problem 6.51

12/23/08 1:33:30 PM


89

P6.52


Ch06.indd 89

Problem 6.52

12/23/08 1:33:30 PM



Ch06.indd 90

90

Problem 6.52

12/23/08 1:33:30 PM


91

6.53 P6.53.

Figure P6.53


Ch06.indd 91

Problem 6.53

12/23/08 1:33:30 PM



Ch06.indd 92

92

Problem 6.53

12/23/08 1:33:30 PM


93

6.54 P6.54.

Figure P6.54


Ch06.indd 93

Problem 6.54

12/23/08 1:33:30 PM



Ch06.indd 94

94

Problem 6.54

12/23/08 1:33:31 PM



Ch06.indd 95

95

Problem 6.55

12/23/08 1:33:31 PM



Ch06.indd 96

96

Problem 6.56

12/23/08 1:33:31 PM



Ch06.indd 97

97

Problem 6.57

12/23/08 1:33:31 PM


98

6.58 6.58.

Figure P6.58


Ch06.indd 98

Problem 6.58

12/23/08 1:33:31 PM



Ch06.indd 99

99

Problem 6.58

12/23/08 1:33:31 PM



Ch06.indd 100

100

Problem 6.59

12/23/08 1:33:31 PM


101

6.60 P6.60.

Figure P6.60


Ch06.indd 101

Problem 6.60

12/23/08 1:33:31 PM



Ch06.indd 102

102

Problem 6.60

12/23/08 1:33:32 PM


103

6.61 P6.61

Figure P6.61


Ch06.indd 103

Problem 6.61

12/23/08 1:33:32 PM



Ch06.indd 104

104

Problem 6.61

12/23/08 1:33:32 PM



Ch06.indd 105

105

Problem 6.62

12/23/08 1:33:32 PM



Ch06.indd 106

106

Problem 6.63

12/23/08 1:33:32 PM



Ch06.indd 107

107

Problem 6.64

12/23/08 1:33:32 PM


6.65

108

P6.65

Figure P6.65


Ch06.indd 108

Problem 6.65

12/23/08 1:33:32 PM



Ch06.indd 109

109

Problem 6.65

12/23/08 1:33:32 PM


110

6.66


Ch06.indd 110

Problem 6.66

12/23/08 1:33:33 PM


6.67

111

P6.67,

Figure P6.67


Ch06.indd 111

Problem 6.67

12/23/08 1:33:33 PM



Ch06.indd 112

112

Problem 6.67

12/23/08 1:33:33 PM


6.68

113

P6.68

Figure P6.68


Ch06.indd 113

Problem 6.68

12/23/08 1:33:33 PM



Ch06.indd 114

114

Problem 6.68

12/23/08 1:33:33 PM


115

For the network in the Fig. P6.69 below, vS (t) = 80 cos 324t V and 1 vS (t) = 40 cos 324t V. Find vo(t). 2


Ch06.indd 115

Problem 6.69

12/24/08 9:07:34 AM



Ch06.indd 116

116

Problem 6.70

12/23/08 1:33:33 PM



Ch06.indd 117

117

Problem 6.71

12/23/08 1:33:34 PM


118

6.72

P6.72

Figure P6.72


Ch06.indd 118

Problem 6.72

12/23/08 1:33:34 PM


119

3


Ch06.indd 119

Problem 6.72

12/23/08 1:33:34 PM


120

SOLUTION: The correct answer is a. Yes. The capacitors should be connected as shown.

6P F 2P F

C eq

Ceq

4P F

6 P (6 P ) 6P 6P

3P F


Ch06.indd 120

Problem 6FE-1

12/23/08 1:33:34 PM


121

SOLUTION: The correct answer is c. q (t )

q (t )

v(t )

v(t )

w(t )

w(t )

³ i(t ) dt

0 C , t d 0 ° ®6t C , 0 t d 1P s °6 P C , t ! 1P s ¯ q (t ) C 0 V , t d 0 ° 6 ®6 x10 t V , 0 t d 1P s °6 V , t ! 1P s ¯ 1 C v 2 (t ) 2 0 J , t d 0 ° 6 2 ®18 x10 t J , 0 t d 1P s °18P J , t ! 1P s ¯


Ch06.indd 121

Problem 6FE-2

12/23/08 1:33:34 PM


122

SOLUTION: The correct answer is b. The voltage across the unknown capacitor Cx is (using KVL): 24 8 V x V x 16V q Cv The capacitors are connected in series and the charge is the same. q 60 P (8) 480 P C q 480 P 30 P F Cx v 16


Ch06.indd 122

Problem 6FE-3

12/23/08 1:33:35 PM


123

SOLUTION: 2 mH

3mH

3mH

Leq

6mH

12mH

9mH

The correct answer is d. Leq [ ^[(3m 9m) 12m] 6m` 3m] 2m Leq

[ ^[(12m) 12m] 6m` 3m] 2m

Leq

[ ^6m 6m` 3m] 2m

Leq

[ 3m 3m] 2m

Leq

1.5m 2m

Leq

3.5mH


Ch06.indd 123

Problem 6FE-4

12/23/08 1:33:35 PM


124

SOLUTION: The correct answer is a. di(t ) v(t ) L dt di(t ) 20te 2t (2) 20e 2t dt

>

20e 2t 40te 2t

@

v(t ) 10m 20e 2t 40te 2t 0 V , t 0 v(t ) ® 2t 2t ¯0.2e 0.4te V , t ! 0


Ch06.indd 124

Problem 6FE-5

12/23/08 1:33:35 PM

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