Ch06 Solution
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Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.1 An uncharged 100-μF capacitor is charged by a constant current of 1 mA. Find the voltage across the capacitor
after 4 s.
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.1
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.2 A capacitor has an accumulated charge of 600 μC with 5 V across it. What is the value of capacitance?
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.2
Irwin, Basic Engineering Circuit Analysis, 11/E
6.3 The energy that is stored in a 25-μF capacitor is
1
w(t) = 12 sin2 377t J. Find the current in the capacitor.
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.3
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.4 The current in a 100-μF capacitor is shown in Fig. P6.4.
Determine the waveform for the voltage across the capacitor if it is initially uncharged. i(t) (mA) 10 0
1
2
t (ms)
Figure P6.4
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.4
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.5 The voltage across a 50-μF capacitor is shown in Fig. P6.5. Determine the current waveform. υ(t) ( V ) 10 8 0
2
4
10
6
12 t (ms)
−10
Figure P6.5
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.5
2
Problem 6.5
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.6 Draw the waveform for the current in a 12-μF capacitor when the capacitor voltage is as described in Fig. P6.6. υ(t) ( V ) 12 10 0
16
6
−8
t (μs)
Figure P6.6
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.6
2
Problem 6.6
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.7 The voltage across a 10-μF capacitor is shown in Fig. P6.7. Determine the waveform for the current in the
capacitor. υ(t) V 6 4 2 0 4
8
12
16
t (ms)
Figure P6.7
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.7
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.8 If the voltage waveform across a 100-μF capacitor is shown in Fig. P6.8, determine the waveform for the current. υ(t) ( V )
10
5
5
10
15
20
t (ms)
Figure P6.8
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.8
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.9 The voltage across a 25-μF capacitor is shown in Fig. P6.9. Determine the current waveform. υ(t) ( V ) 20 0.8 0
0.2
0.4
1.0
0.6
1.2 t (ms)
−20 Figure P6.9
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.9
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.10 The voltage across a 2-F capacitor is given by the waveform in Fig. P6.10. Find the waveform for the current in
the capacitor. υC(t) ( V ) +12
0
10
20
30
40
50
t (s)
−12 Figure P6.10
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.10
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.11 The voltage across a 2-μF capacitor is given by the waveform in Fig. P6.11. Compute the current waveform. υ(t) ( V ) 2
3
6 t (ms)
−12 Figure P6.11
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.11
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.12 Draw the waveform for the current in a 24-μF capacitor when the capacitor voltage is as described in Fig. P6.12. υ(t) (V) 6 100 0
160
60
−4
t (μs)
Figure P6.12
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.12
2
Problem 6.12
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.13 The waveform for the current in a 50-μF capacitor is shown in Fig. P6.13. Determine the waveform for the
capacitor voltage. i(t) (mA) 10
0
10
20
30
40
t (ms)
Figure P6.13
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.13
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.14 The waveform for the current flowing through the 10-μF capacitor in Fig. P6.14a is shown in Fig. P6.14b. If υc
(t = 0) = 1 V, determine υc(t) at t = 1 ms, 3 ms, 4 ms, and 5 ms. + υc(t)
i(t)
10 μF
− (a) i(t) (mA)
15
5
3 1
2
4
t (ms) 6
−10
(b) Figure P6.14
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.14
2
Problem 6.14
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.15 The waveform for the current in a 50-μF initially uncharged capacitor is shown in Fig. P6.15. Determine the
waveform for the capacitor’s voltage. i(t) (mA) 10
0 0
10
20
30
40 50 t (ms)
−10 Figure P6.15
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.15
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.16 The voltage across a 10-μF capacitor is given by the waveform in Fig. P6.16. Plot the waveform for the capaci-
tor current. υ(t) (V) 12 5 −12
10 t (ms)
Figure P6.16
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.16
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.17 If υc(t = 2 s) = 10 V in the circuit in Fig. P6.17, find the energy stored in the capacitor and the power supplied
by the source at t = 6 s. +
υc(t)
−
0.5 F 3Ω
6Ω
2A Figure P6.17
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.17
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.18 The current in an inductor changed from 0 to 200 mA in 4 ms and induces a voltage of 100 mV. What is the
value of the inductor?
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.18
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.19 The current in a 100-mH inductor is i(t) = 2 sin 377t A. Find (a) the voltage across the inductor and (b) the
expression for the energy stored in the element.
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.19
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.20 The current in a 50-mH inductor is specified as follows:
i(t) = 0
t0
Find (a) the voltage across the inductor, (b) the time at which the current is a maximum, and (c) the time at which the voltage is a minimum.
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.20
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.21 The current in a 25-mH inductor is given by the expressions
i(t) = 0
t0
Find (a) the voltage across the inductor and (b) the expression for the energy stored in it.
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.21
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.22 Given the data in the previous problem, find the voltage across the inductor and the energy stored in it after 1 s.
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.22
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.23 The voltage across a 2-H inductor is given by the waveform shown in Fig. P6.23. Find the waveform for the cur-
rent in the inductor. υ(t) ( V ) 5
−5
0
2
4
6
t (s )
Figure P6.23
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.23
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.24 The voltage across a 4-H inductor is given by the waveform shown in Fig. P6.24. Find the waveform for the
current in the inductor υ (t) = 0, t < 0. υ(t) (mV) 2.4
0
10
20
30
40
50 t (ms)
Figure P6.24
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.24
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.25 The voltage across a 10-mH inductor is shown in Fig. P6.25. Determine the waveform for the inductor current. υ(t) ( mV ) 10−
0
1
2
t (ms)
Figure P6.25
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.25
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.26 If the current i(t) = 1.5t A flows through a 2-H inductor, find the energy stored at t = 2 s.
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.26
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.27 The current in a 30-mH inductor is shown in Fig. P6.27. Derive the waveform for the inductor voltage. i(t) (mA)
120 60 t (ms) 10
20
30
40
50
60
70
Figure P6.27
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.27
2
Problem 6.27
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.28 The current waveform in a 40-mH inductor is shown in Fig. P6.28. Derive the waveform for the inductor
voltage. i(t) (mA)
20 15 10 5 t (ms) 2
4
6
8
10
12
Figure P6.28
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.28
2
Problem 6.28
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.29 The waveform for the current flowing through a 0.5-H inductor is shown in the plot in Fig. P6.29. Accurately
sketch the inductor voltage versus time. Determine the following quantities: (a) the energy stored in the inductor at t = 1.7 ms, (b) the energy stored in the inductor at t = 4.2 ms, and (c) the power absorbed by the inductor at t = 1.2 ms, t = 2.8 ms, and t = 5.3 ms. i(t) (mA) 10 5 4 t (ms) 1
2
3
υL(t)
0.5 H
5
6
−5 −10
+ i(t)
− Figure P6.29
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.29
2
Problem 6.29
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
3
Problem 6.29
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.30 The current in a 50-mH inductor is given in Fig. P6.30. Sketch the inductor voltage. i(t) (mA) 100 4 0
2
6
8
10
t (ms)
−100 Figure P6.30
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.30
2
Problem 6.30
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.31 The current in a 24-mH inductor is given by the waveform in Fig. P6.31. Find the waveform for the voltage
across the inductor. i(t) (A) 12
2
−12 −24
4 5
9
11 12 t (ms)
Figure P6.31
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.31
2
Problem 6.31
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.32 The current in a 10-mH inductor is shown in Fig. P6.32. Determine the waveform for the voltage across the
inductor. i(t) (mA) 0 1
2
3
4
5
6 t (ms)
−12 Figure P6.32
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.32
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.33 The current in a 50-mH inductor is shown in Fig. P6.33. Find the voltage across the inductor. i(t) (mA) +10 0
20
40
60 70 80
t (ms)
−20 Figure P6.33
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.33
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.34 Draw the waveform for the voltage across a 24-mH inductor when the inductor current is given by the waveform
shown in Fig. P6.34. i(t) (A) 8 4 −2
0.6 0.3
0.9 1.1
t (s )
Figure P6.34
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.34
2
Problem 6.34
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.35 The current in a 4-mH inductor is given by the waveform in Fig. P6.35. Plot the voltage across the inductor. i(t) (mA) 0.12
0.5
1.0
t (ms)
Figure P6.35
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.35
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.36 The waveform for the current in the 2-H inductor shown in Fig. P6.36a is given in Fig. P6.36b. 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) υL(t) at t = 1.5 ms, (d) υL(t) at t = 6.25 ms, and (e) υL(t) at t = 2.75 ms. i(t) (mA) 30
7.5 4 + υL(t)
i(t)
1 2H
2
5
3
t (ms) 6
7
8
−10
−
(a)
(b)
Figure P6.36
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.36
2
Problem 6.36
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.37 If the total energy stored in the circuit in Fig. P6.37 is 80 mJ, what is the value of L? L
1A
200 Ω
80 μF
50 Ω
Figure P6.37
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.37
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.38 Find the value of C if the energy stored in the capacitor in Fig. P6.38 equals the energy stored in the inductor. C 100 Ω
12 V
+ –
200 Ω 0.1 H
Figure P6.38
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.38
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.39 What values of capacitance can be obtained by interconnecting a 4-μF capacitor, a 6-μF capacitor, and a
12-μF capacitor?
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.39
2
Problem 6.39
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
3
Problem 6.39
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.40 Given four 2-μF capacitors, find the maximum value and minimum value that can be obtained by interconnecting
the capacitors in series/parallel combinations.
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.40
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.41 Determine the values of inductance that can be obtained by interconnecting a 4-mH inductor, a 6-mH inductor,
and a 12-mH inductor.
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.41
2
Problem 6.41
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
3
Problem 6.41
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.42 Given four 4-mH inductors, determine the maximum and minimum values of inductance that can be obtained by
interconnecting the inductors in series/parallel combinations.
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.42
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.43 Given a 6-, 9-, and 18-mH inductor, can they be interconnected to obtain an equivalent 12-mH inductor?
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.43
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.44 Given the network in Fig. P6.44, find the power dissipated in the 3-Ω resistor and the energy stored in the
capacitor. 3Ω
2H
12 V
+ −
3H
4Ω 6Ω
6A
2F Figure P6.44
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.44
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.45 Find the total capacitance CT in the network in Fig. P6.45. All capacitors are in microfarads. 3
4
2
4
CT
4 3
Figure P6.45
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.45
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.46 Find the total capacitance CT in the network in Fig. P6.46. All capacitors are in microfarads. 6
4
12 CT
3
4 8
6 3 Figure P6.46
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.46
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.47 Find the total capacitance CT of the network in Fig. P6.47.
4 μF
CT
12 μF
1 μF 2 μF
3 μF
Figure P6.47
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.47
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.48 Find CT in the network shown in Fig. P6.48. 3 μF
6 μF
4 μF
8 μF
CT
6 μF
12 μF
Figure P6.48
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.48
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.49 Determine the value of CT in the circuit in Fig. P6.49. 12 μF
6 μF
9 μF
CT 11 μF
6 μF
5 μF 3 μF
Figure P6.49
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.49
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.50 Find CT in the network in Fig. P6.50. 12 μF
3 μF 3 μF
3 μF 4 μF
CT
6 μF Figure P6.50
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.50
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.51 Find the total capacitance CT in the network in Fig. P6.51. All capacitors are in microfarads. 3
3
3
6
CT 4
9
3
Figure P6.51
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.51
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.52 Find the total capacitance CT shown in the network in Fig. P6.52. 12 μF
6 μF
4 μF
8 μF
CT
4 μF
2 μF
2 μF
Figure P6.52
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.52
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.53 Find the total capacitance CT of the network in Fig. P6.53. 3 μF
6 μF 3 μF
CT 4 μF
6 μF
Figure P6.53
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.53
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.54 Find the total capacitance CT shown in the network in Fig. P6.54. CT
4 μF
8 μF 4 μF
2 μF
3 μF 4 μF
2 μF
Figure P6.54
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.54
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.55 In the network in Fig. P6.55, find the capacitance CT if (a) the switch is open and (b) the switch is closed.
CT
12 μF
6 μF
3 μF
12 μF
6 μF 6 μF
Figure P6.55
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.55
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.56 Find the total capacitance CT in the network in Fig. P6.56. All capacitors are 12 microfarads.
CT
Figure P6.56
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.56
2
Problem 6.56
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.57 If the total capacitance of the network in Fig. P6.57 is 10 μF, find the value of C.
12 μF
6 μF
CT = 10 μF 4 μF
C
Figure P6.57
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.57
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.58 Find the value of C in Fig. P6.58. 12 μF
2 μF
10 μF CT = 4 μF
3 μF C
Figure P6.58
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.58
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.59 Given a 1-, 3-, and 4-μF capacitor, can they be interconnected to obtain an equivalent 2-μF capacitor?
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.59
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.60 Select the value of C to produce the desired total capacitance of CT = 10 μF in the circuit in Fig. P6.60.
C CT = 10 μF
8 μF
16 μF
Figure P6.60
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.60
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.61 Select the value of C to produce the desired total capacitance of CT = 1 μF in the circuit in Fig. P6.61.
C
C
1 μF
CT
1 μF
2 μF
1 μF
Figure P6.61
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.61
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.62 The three capacitors shown in Fig. P6.62 have been connected for some time and have reached their present
values. Find V1 and V2. + V1
8 μF −
+ 12 V
V2
−
+ 4 μF −
Figure P6.62
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.62
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.63 The two capacitors in Fig. P6.63 were charged and then connected as shown. Determine the equivalent
capacitance, the initial voltage at the terminals, and the total energy stored in the network.
− 6V +
+ 2V −
12 μF
4 μF
Figure P6.63
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.63
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.64 The two capacitors shown in Fig. P6.64 have been connected for some time and have reached their present
values. Find Vo.
+ Vo
12 μF
−
+ 16 V −
4 μF
Figure P6.64
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.64
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.65 Determine the inductance at terminals A-B in the network in Fig. P6.65. A
1 mH 4 mH
12 mH
3 mH B
2 mH
4 mH
2 mH
Figure P6.65
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.65
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.66 Find the total inductance, LT, in the network in Fig. P6.66. All inductors are in millihenrys. 2
4 3
18
5
LT
12
6
1 Figure P6.66
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.66
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.67 Find the total inductance, LT, in the network in Fig. P6.67. All inductors are in millihenrys. LT
8 3 6
4
18
9 9 Figure P6.67
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.67
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.68 Find the total inductance, LT, in the network in Fig. P6.68. All inductors are in millihenrys. 1
6 12
4
2 LT 3
1 2 Figure P6.68
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.68
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.69 Find the total inductance LT in the network in Fig. P6.69. All inductors are in millihenrys. 1
9 12
4
2
6
LT 3
2 Figure P6.69
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.69
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.70 Find the total inductance at the terminals of the network in Fig. P6.70.
12 mH
12 mH 6 mH
4 mH
LT
2 mH
Figure P6.70
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.70
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.71 Find LT in the circuit in Fig. P6.71. 12 μH
4 μH 5 μH
LT
2 μH
6 μH 3 μH Figure P6.71
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.71
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.72 Find LT in the network in Fig. P6.72 (a) with the switch open and (b) with the switch closed. All inductors are
12 mH.
LT
Figure P6.72
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.72
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.73 Determine the inductance at terminals A-B in the network in Fig. P6.73. A
1 mH
1 mH 6 mH 2 mH
12 mH 4 mH 2 mH B
1 mH
2 mH
Figure P6.73
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.73
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.74 Compute the equivalent inductance of the network in Fig. P6.74 if all inductors are 4 mH.
Leq
Figure P6.74
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.74
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.75 Find the value of L in the network in Fig. P6.75 so that the value of LT will be 2 mH. 2 mH 1 mH 6 mH
LT L
L
4 mH
Figure P6.75
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.75
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.76 Find LT in the circuit in Fig. P6.76. All inductors are 12 μH.
LT
Figure P6.76
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.76
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.77 Find the total inductance, LT, in the network in Fig. P6.77. All inductors are 6 millihenrys.
LT
Figure P6.77
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.77
2
Problem 6.77
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.78 Find LT in the circuit in Fig. P6.78. 4 μH
12 μH
4 μH
6 μH
5 μH
LT
8 μH
12 μH 1 μH
6 μH
2 μH
Figure P6.78
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.78
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.79 Find LT in the circuit in Fig. P6.79. 2 μH
8 μH
4 μH
6 μH
4 μH
LT 4 μH 9 μH
3 μH
6 μH
3 μH
12 μH
12 μH
Figure P6.79
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.79
2
Problem 6.79
Irwin, Basic Engineering Circuit Analysis, 11/E
Chapter 06: Capacitance and Inductance
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.80 If the total inductance, LT, of the network in Fig. P6.80 is 6 μH, find the value of L. 2 μH
1 μH LT = 4 μH
4 μH
8 μH
L 4 μH
3 μH
18 μH
9 μH
Figure P6.80
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.80
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.81 Given the network shown in Fig. P6.81, find (a) the equivalent inductance at terminals A-B with terminals C-D
short circuited, and (b) the equivalent inductance at terminals C-D with terminals A-B open circuited. 20 mH
A 5 mH
B
C 12 mH
6 mH
D
Figure P6.81
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.81
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.82 Find the value of L in the network in Fig. P6.82 so that the total inductance, LT, will be 2 mH.
4 mH LT
2 mH L 6 mH
Figure P6.82
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.82
Irwin, Basic Engineering Circuit Analysis, 11/E
1
6.83 A 20-mH inductor and a 12-mH inductor are connected in series with a 1-A current source. Find (a) the
equivalent inductance and (b) the total energy stored.
SOLUTION:
Chapter 06: Capacitance and Inductance
Problem 6.83
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