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Irwin, Basic Engineering Circuit Analysis, 9/E 1
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.1
6.1
Ch06.indd 1Ch06.indd 1 12/23/08 1:33:17 PM12/23/08 1:33:17 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 2
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.2
6.2
Ch06.indd 2Ch06.indd 2 12/23/08 1:33:18 PM12/23/08 1:33:18 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 3
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.3
6.3
Ch06.indd 3Ch06.indd 3 12/23/08 1:33:18 PM12/23/08 1:33:18 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 4
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.4
6.4
Ch06.indd 4Ch06.indd 4 12/23/08 1:33:18 PM12/23/08 1:33:18 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 5
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.5
6.5
Figure P6.5
P6.5.
Ch06.indd 5Ch06.indd 5 12/23/08 1:33:18 PM12/23/08 1:33:18 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 6
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.5
Ch06.indd 6Ch06.indd 6 12/23/08 1:33:18 PM12/23/08 1:33:18 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 7
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.6
6.6
Figure P6.6
P6.6.
Ch06.indd 7Ch06.indd 7 12/23/08 1:33:18 PM12/23/08 1:33:18 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 8
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.6
Ch06.indd 8Ch06.indd 8 12/23/08 1:33:18 PM12/23/08 1:33:18 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 9
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.7
6.7
Figure P6.7
P6.7.
Ch06.indd 9Ch06.indd 9 12/23/08 1:33:18 PM12/23/08 1:33:18 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 10
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.7
Ch06.indd 10Ch06.indd 10 12/23/08 1:33:18 PM12/23/08 1:33:18 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 11
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.8
6.8
Figure P6.8
P6.8.
Ch06.indd 11Ch06.indd 11 12/23/08 1:33:18 PM12/23/08 1:33:18 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 12
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.8
Ch06.indd 12Ch06.indd 12 12/23/08 1:33:19 PM12/23/08 1:33:19 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 13
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.9
Ch06.indd 13Ch06.indd 13 12/23/08 1:33:19 PM12/23/08 1:33:19 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 14
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.9
Ch06.indd 14Ch06.indd 14 12/23/08 1:33:19 PM12/23/08 1:33:19 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 15
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.10
Ch06.indd 15Ch06.indd 15 12/23/08 1:33:19 PM12/23/08 1:33:19 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 16
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.10
Ch06.indd 16Ch06.indd 16 12/23/08 1:33:19 PM12/23/08 1:33:19 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 17
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.11
6.11
Figure P6.11
P6.11.
Ch06.indd 17Ch06.indd 17 12/23/08 1:33:20 PM12/23/08 1:33:20 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 18
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.11
Ch06.indd 18Ch06.indd 18 12/23/08 1:33:20 PM12/23/08 1:33:20 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 19
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.12
6.12
Figure P6.12
P6.12.
Ch06.indd 19Ch06.indd 19 12/23/08 1:33:20 PM12/23/08 1:33:20 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 20
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.13
Ch06.indd 20Ch06.indd 20 12/23/08 1:33:20 PM12/23/08 1:33:20 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 21
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.13
Ch06.indd 21Ch06.indd 21 12/23/08 1:33:20 PM12/23/08 1:33:20 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 22
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.14
Ch06.indd 22Ch06.indd 22 12/23/08 1:33:20 PM12/23/08 1:33:20 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 23
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.14
Ch06.indd 23Ch06.indd 23 12/23/08 1:33:21 PM12/23/08 1:33:21 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 24
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.15
6.15
Figure P6.15
P6.15a P6.15b.
Ch06.indd 24Ch06.indd 24 12/23/08 1:33:21 PM12/23/08 1:33:21 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 25
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.15
Ch06.indd 25Ch06.indd 25 12/23/08 1:33:21 PM12/23/08 1:33:21 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 26
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.15
Ch06.indd 26Ch06.indd 26 12/23/08 1:33:21 PM12/23/08 1:33:21 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 27
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.16
6.16
Figure P6.16
P6.16,
Ch06.indd 27Ch06.indd 27 12/23/08 1:33:21 PM12/23/08 1:33:21 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 28
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.16
Ch06.indd 28Ch06.indd 28 12/23/08 1:33:21 PM12/23/08 1:33:21 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 29
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.17
Ch06.indd 29Ch06.indd 29 12/23/08 1:33:21 PM12/23/08 1:33:21 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 30
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.18
6.18
Ch06.indd 30Ch06.indd 30 12/23/08 1:33:22 PM12/23/08 1:33:22 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 31
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.19
Ch06.indd 31Ch06.indd 31 12/23/08 1:33:22 PM12/23/08 1:33:22 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 32
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.20
6.20
Ch06.indd 32Ch06.indd 32 12/23/08 1:33:22 PM12/23/08 1:33:22 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 33
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.21
Ch06.indd 33Ch06.indd 33 12/23/08 1:33:22 PM12/23/08 1:33:22 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 34
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.22
6.22
Ch06.indd 34Ch06.indd 34 12/23/08 1:33:22 PM12/23/08 1:33:22 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 35
-
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.22
Ch06.indd 35Ch06.indd 35 12/23/08 1:33:22 PM12/23/08 1:33:22 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 36
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.23
Ch06.indd 36Ch06.indd 36 12/23/08 1:33:22 PM12/23/08 1:33:22 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 37
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.23
Ch06.indd 37Ch06.indd 37 12/23/08 1:33:22 PM12/23/08 1:33:22 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 38
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.24
6.24
Figure P6.24
P6.24.
Ch06.indd 38Ch06.indd 38 12/23/08 1:33:23 PM12/23/08 1:33:23 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 39
t
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.24
Ch06.indd 39Ch06.indd 39 12/23/08 1:33:23 PM12/23/08 1:33:23 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 40
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.25
6.25
Figure P6.25
P6.25.
Ch06.indd 40Ch06.indd 40 12/23/08 1:33:23 PM12/23/08 1:33:23 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 41
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.25
Ch06.indd 41Ch06.indd 41 12/23/08 1:33:23 PM12/23/08 1:33:23 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 42
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.26
6.26
Figure P6.26
P6.26.
Ch06.indd 42Ch06.indd 42 12/23/08 1:33:23 PM12/23/08 1:33:23 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 43
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.27
Ch06.indd 43Ch06.indd 43 12/23/08 1:33:23 PM12/23/08 1:33:23 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 44
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.27
Ch06.indd 44Ch06.indd 44 12/23/08 1:33:24 PM12/23/08 1:33:24 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 45
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.28
Ch06.indd 45Ch06.indd 45 12/23/08 1:33:24 PM12/23/08 1:33:24 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 46
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.28
Ch06.indd 46Ch06.indd 46 12/23/08 1:33:24 PM12/23/08 1:33:24 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 47
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.29
6.29
Figure P6.29
P6.29.
Ch06.indd 47Ch06.indd 47 12/23/08 1:33:24 PM12/23/08 1:33:24 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 48
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.29
Ch06.indd 48Ch06.indd 48 12/23/08 1:33:25 PM12/23/08 1:33:25 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 49
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.29
Ch06.indd 49Ch06.indd 49 12/23/08 1:33:25 PM12/23/08 1:33:25 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 50
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.30
Ch06.indd 50Ch06.indd 50 12/23/08 1:33:25 PM12/23/08 1:33:25 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 51
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.30
Ch06.indd 51Ch06.indd 51 12/23/08 1:33:25 PM12/23/08 1:33:25 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 52
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.31
6.31
Figure P6.31
P6.31.
Ch06.indd 52Ch06.indd 52 12/23/08 1:33:25 PM12/23/08 1:33:25 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 53
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.31
Ch06.indd 53Ch06.indd 53 12/23/08 1:33:25 PM12/23/08 1:33:25 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 54
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.32
6.32
Figure P6.32
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) v
L(t) at t = 6.25 ms, and (e) v
L(t) at t = 2.75 ms.
Ch06.indd 54Ch06.indd 54 12/24/08 9:07:34 AM12/24/08 9:07:34 AM
Irwin, Basic Engineering Circuit Analysis, 9/E 55
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.32
Ch06.indd 55Ch06.indd 55 12/23/08 1:33:26 PM12/23/08 1:33:26 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 56
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.32
Ch06.indd 56Ch06.indd 56 12/23/08 1:33:26 PM12/23/08 1:33:26 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 57
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.33
6.33
Ch06.indd 57Ch06.indd 57 12/23/08 1:33:26 PM12/23/08 1:33:26 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 58
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.34
Ch06.indd 58Ch06.indd 58 12/23/08 1:33:26 PM12/23/08 1:33:26 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 59
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.35
Ch06.indd 59Ch06.indd 59 12/23/08 1:33:26 PM12/23/08 1:33:26 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 60
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.35
Ch06.indd 60Ch06.indd 60 12/23/08 1:33:26 PM12/23/08 1:33:26 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 61
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.36
6.36
Figure P6.36
6.36
Ch06.indd 61Ch06.indd 61 12/23/08 1:33:27 PM12/23/08 1:33:27 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 62
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.36
Ch06.indd 62Ch06.indd 62 12/23/08 1:33:27 PM12/23/08 1:33:27 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 63
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.37
6.37
Figure P6.37
P6.37a
P6.37b,
Ch06.indd 63Ch06.indd 63 12/23/08 1:33:27 PM12/23/08 1:33:27 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 64
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.37
Ch06.indd 64Ch06.indd 64 12/23/08 1:33:27 PM12/23/08 1:33:27 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 65
/
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.37
Ch06.indd 65Ch06.indd 65 12/23/08 1:33:27 PM12/23/08 1:33:27 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 66
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.38
6.38
Figure P6.38
P6.38
Ch06.indd 66Ch06.indd 66 12/23/08 1:33:27 PM12/23/08 1:33:27 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 67
c
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.38
Ch06.indd 67Ch06.indd 67 12/23/08 1:33:27 PM12/23/08 1:33:27 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 68
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.39
Ch06.indd 68Ch06.indd 68 12/23/08 1:33:27 PM12/23/08 1:33:27 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 69
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.40
Ch06.indd 69Ch06.indd 69 12/23/08 1:33:28 PM12/23/08 1:33:28 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 70
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.41
6.41
Ch06.indd 70Ch06.indd 70 12/23/08 1:33:28 PM12/23/08 1:33:28 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 71
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.41
Ch06.indd 71Ch06.indd 71 12/23/08 1:33:28 PM12/23/08 1:33:28 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 72
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.41
Ch06.indd 72Ch06.indd 72 12/23/08 1:33:28 PM12/23/08 1:33:28 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 73
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.42
6.42
Ch06.indd 73Ch06.indd 73 12/23/08 1:33:28 PM12/23/08 1:33:28 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 74
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.42
Ch06.indd 74Ch06.indd 74 12/23/08 1:33:28 PM12/23/08 1:33:28 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 75
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.43
Ch06.indd 75Ch06.indd 75 12/23/08 1:33:28 PM12/23/08 1:33:28 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 76
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.44
6.44
Ch06.indd 76Ch06.indd 76 12/23/08 1:33:28 PM12/23/08 1:33:28 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 77
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.44
Ch06.indd 77Ch06.indd 77 12/23/08 1:33:28 PM12/23/08 1:33:28 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 78
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.44
Ch06.indd 78Ch06.indd 78 12/23/08 1:33:29 PM12/23/08 1:33:29 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 79
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.45
6.45
Ch06.indd 79Ch06.indd 79 12/23/08 1:33:29 PM12/23/08 1:33:29 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 80
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.46
6.46
Ch06.indd 80Ch06.indd 80 12/23/08 1:33:29 PM12/23/08 1:33:29 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 81
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.47
Ch06.indd 81Ch06.indd 81 12/23/08 1:33:29 PM12/23/08 1:33:29 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 82
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.48
Ch06.indd 82Ch06.indd 82 12/23/08 1:33:29 PM12/23/08 1:33:29 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 83
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.49
6.49
Figure P6.49
P6.49.
Ch06.indd 83Ch06.indd 83 12/23/08 1:33:29 PM12/23/08 1:33:29 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 84
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.49
Ch06.indd 84Ch06.indd 84 12/23/08 1:33:29 PM12/23/08 1:33:29 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 85
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.50
6.50
Figure P6.50
P6.50
Ch06.indd 85Ch06.indd 85 12/23/08 1:33:29 PM12/23/08 1:33:29 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 86
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.50
Ch06.indd 86Ch06.indd 86 12/23/08 1:33:30 PM12/23/08 1:33:30 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 87
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.51
6.51
Figure P6.51
P6.51
Ch06.indd 87Ch06.indd 87 12/23/08 1:33:30 PM12/23/08 1:33:30 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 88
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.51
Ch06.indd 88Ch06.indd 88 12/23/08 1:33:30 PM12/23/08 1:33:30 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 89
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.52
P6.52
Ch06.indd 89Ch06.indd 89 12/23/08 1:33:30 PM12/23/08 1:33:30 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 90
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.52
Ch06.indd 90Ch06.indd 90 12/23/08 1:33:30 PM12/23/08 1:33:30 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 91
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.53
6.53
Figure P6.53
P6.53.
Ch06.indd 91Ch06.indd 91 12/23/08 1:33:30 PM12/23/08 1:33:30 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 92
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.53
Ch06.indd 92Ch06.indd 92 12/23/08 1:33:30 PM12/23/08 1:33:30 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 93
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.54
6.54
Figure P6.54
P6.54.
Ch06.indd 93Ch06.indd 93 12/23/08 1:33:30 PM12/23/08 1:33:30 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 94
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.54
Ch06.indd 94Ch06.indd 94 12/23/08 1:33:31 PM12/23/08 1:33:31 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 95
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.55
Ch06.indd 95Ch06.indd 95 12/23/08 1:33:31 PM12/23/08 1:33:31 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 96
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.56
Ch06.indd 96Ch06.indd 96 12/23/08 1:33:31 PM12/23/08 1:33:31 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 97
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.57
Ch06.indd 97Ch06.indd 97 12/23/08 1:33:31 PM12/23/08 1:33:31 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 98
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.58
6.58
Figure P6.58
6.58.
Ch06.indd 98Ch06.indd 98 12/23/08 1:33:31 PM12/23/08 1:33:31 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 99
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.58
Ch06.indd 99Ch06.indd 99 12/23/08 1:33:31 PM12/23/08 1:33:31 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 100
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.59
Ch06.indd 100Ch06.indd 100 12/23/08 1:33:31 PM12/23/08 1:33:31 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 101
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.60
6.60
Figure P6.60
P6.60.
Ch06.indd 101Ch06.indd 101 12/23/08 1:33:31 PM12/23/08 1:33:31 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 102
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.60
Ch06.indd 102Ch06.indd 102 12/23/08 1:33:32 PM12/23/08 1:33:32 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 103
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.61
6.61
Figure P6.61
P6.61
Ch06.indd 103Ch06.indd 103 12/23/08 1:33:32 PM12/23/08 1:33:32 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 104
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.61
Ch06.indd 104Ch06.indd 104 12/23/08 1:33:32 PM12/23/08 1:33:32 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 105
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.62
Ch06.indd 105Ch06.indd 105 12/23/08 1:33:32 PM12/23/08 1:33:32 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 106
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.63
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Irwin, Basic Engineering Circuit Analysis, 9/E 107
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.64
Ch06.indd 107Ch06.indd 107 12/23/08 1:33:32 PM12/23/08 1:33:32 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 108
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.65
6.65
Figure P6.65
P6.65
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Irwin, Basic Engineering Circuit Analysis, 9/E 109
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.65
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Irwin, Basic Engineering Circuit Analysis, 9/E 110
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.66
6.66
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Irwin, Basic Engineering Circuit Analysis, 9/E 111
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.67
6.67
Figure P6.67
P6.67,
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Irwin, Basic Engineering Circuit Analysis, 9/E 112
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.67
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Irwin, Basic Engineering Circuit Analysis, 9/E 113
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.68
6.68
Figure P6.68
P6.68
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Irwin, Basic Engineering Circuit Analysis, 9/E 114
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.68
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Irwin, Basic Engineering Circuit Analysis, 9/E 115
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.69
For the network in the Fig. P6.69 below, vS1 (t) = 80 cos 324t V and
vS2 (t) = 40 cos 324t V. Find v
o(t).
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Irwin, Basic Engineering Circuit Analysis, 9/E 116
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.70
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Irwin, Basic Engineering Circuit Analysis, 9/E 117
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.71
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Irwin, Basic Engineering Circuit Analysis, 9/E 118
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.72
6.72
Figure P6.72
P6.72
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Irwin, Basic Engineering Circuit Analysis, 9/E 119
3
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6.72
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Irwin, Basic Engineering Circuit Analysis, 9/E 120
SOLUTION:
The correct answer is a.Yes. The capacitors should be connected as shown.
F�2 F�4
F�6
eqC
FCeq �����
366
)6(6�
��
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6FE-1
Ch06.indd 120Ch06.indd 120 12/23/08 1:33:34 PM12/23/08 1:33:34 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 121
SOLUTION:
The correct answer is c.
�� dttitq )()(
��
��
��
��
stCstCt
tCtq
���
1,6
10,6
0,0
)(
Ctqtv )(
)( �
��
��
��
�
�stV
stVtxtV
tv�
�1,6
10,106
0,0
)( 6
)(2
1)( 2 tvCtw �
��
��
��
�
�stJ
stJtxtJ
tw��
�1,18
10,1018
0,0
)( 26
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6FE-2
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Irwin, Basic Engineering Circuit Analysis, 9/E 122
SOLUTION:
The correct answer is b.
The voltage across the unknown capacitor Cx is (using KVL):
xV�� 824
VVx 16�vCq �
The capacitors are connected in series and the charge is the same.
Cq �� 480)8(60 ��
FvqCx ��
3016
480���
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6FE-3
Ch06.indd 122Ch06.indd 122 12/23/08 1:33:35 PM12/23/08 1:33:35 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 123
SOLUTION:
mH6
eqLmH12
mH3
mH3 mH9
mH2
The correct answer is d. � mmmmmmLeq 2]36]12)93[([ ���
� mmmmmLeq 2]36]12)12[([ ��
� mmmmLeq 2]366[ ��
mmmLeq 2]33[ ��
mmLeq 25.1 ��
mHLeq 5.3�
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6FE-4
Ch06.indd 123Ch06.indd 123 12/23/08 1:33:35 PM12/23/08 1:33:35 PM
Irwin, Basic Engineering Circuit Analysis, 9/E 124
SOLUTION:
The correct answer is a.
dttdiLtv )(
)( �
tttt teeetedttdi 2222 402020)2(20)( ���� �����
� �tt teemtv 22 402010)( �� ��
��
�
��
�� 0,4.02.0
0,0)(
22 tVteetV
tv tt
Chapter 6: Energy Storage Elements: The Capacitor and the Inductor Problem 6FE-5
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