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9. (a) R: 38.99 W, L:0W,C:0W
(b) R: 0 VAR, L: 126.74 VAR,
C: 46.92 VAR
(c) R: 38.99 VA, L: 126.74 VA,
C: 46.92 VA
(d) 38.99 W, 79.82 VAR (L),
88.83 VA, 0.439 (lagging)
(f) 0.31 J
(g) W L � 0.32 J, W C � 0.12 J
11. (a) Z � 2.30 � � j 1.73 �
(b) 4000 W
13. (a) 900 W, 0 VAR, 900 VA, 1
(b) 9 A �0°
(d) Z 1: R � 0 �, X C � 20 �
Z 2: R � 2.83 �, X � 0 �
Z 3: R � 5.66 �, X L � 4.717 �
15. (a) 1100 W, 2366.26 VAR,
2609.44 VA, 0.4215 (leading)
(b) 521.89 V ��65.07°
(c) Z 1: R � 1743.38 �,
X C � 1307.53 �
Z 2: R � 43.59 �, X C � 99.88 �
17. (a) 7.81 kVA
(b) 0.640 (lagging)
(c) 65.08 A
(d) 1105 mF
(e) 41.67 A
19. (a) 128.14 W
(b) a–b: 42.69 W, b–c: 64.03 W,
a–c: 106.72 W, a–d: 106.72 W,
c–d: 0 W, d–e: 0 W,
f–e: 21.34 W
21. (a) 5 �, 132.03 mH
(b) 10 �
(c) 15 �, 262.39 mH
Chapter 20
1. (a) q s � 250 rad/s,
f s � 39.79 Hz
(b) q s � 3535.53 rad/s,
f s � 562.7 Hz
(c) q s � 21,880 rad/s,
f s � 3482.31 Hz
3. (a) X L � 40 �
(b) I � 10 mA
(c) V R � 20 mV, V L � 400 mV,
V C � 400 mV
(d) Q s � 20 (high)
(e) L � 1.27 mH, C � 0.796 mF
(f) BW � 250 Hz
(g) f 2 � 5.125 kHz,
f 1 � 4.875 kHz
5. (a) BW � 400 Hz
(b) f 2 � 6200 Hz,
f 1 � 5800 Hz
(c) X L � X C � 45 �
(d) P HPF � 375 mW
7. (a) Q s � 10
(b) X L � 20 �
(c) L � 1.59 mH, C � 3.98 mF
(d) f 2 � 2100 Hz, f 1 � 1900 Hz
9. L � 13.26 mH, C � 27.07 nF
f 2 � 8460 Hz, f 1 � 8340 Hz
11. (a) f s � 1 MHz
(b) BW � 160 kHz
(c) R � 720 �, L � 0.7162 mH,
C � 35.37 pF
(d) R l � 56.25 �
13. (a) f p � 159.155 kHz
(b) V C � 4 V
(c) I L � I C � 40 mA
(d) Q p � 20
15. (a) f s � 11,253.95 Hz
(b) Q l � 1.77 (no)
(c) f p � 9,280.24 Hz,
f m � 10,794.41 Hz
(d) X L � 5.83 �, X C � 8.57 �
(e) Z Tp � 12.5 �
(f) V C � 25 mV
(g) Q p � 1.46, BW � 6.356 kHz
(h) I C � 2.92 mA, I L � 3.54 mA
17. (a) X C � 30 �
(b) Z TP � 225 �
(c) I C � 0.6 A �90°,
I L � 0.6 A ��86.19°
(d) L � 0.239 mH,
C � 265.26 nF
(e) Q p � 7.5, BW � 2.67 kHz
19. (a) f s � 7.118 kHz,
f p � 6.647 kHz, f m � 7 kHz
(b) X L � 20.88 �, X C � 23.94 �
(c) Z TP � 55.56 �
(d) Q p � 2.32, BW � 2.865 kHz
(e) I L � 99.28 mA,
I C � 92.73 mA
(f) V C � 2.22 V
21. (a) f p � 3558.81 Hz
(b) V C � 138.2 V
(c) P � 691 mW
(d) BW � 575.86 Hz
23. (a) X L � 98.54 �
(b) Q l � 8.21
(c) f p � 8.05 kHz
(d) V C � 4.83 V
(e) f 2 � 8.55 kHz,
f 1 � 7.55 kHz
25. R s � 3.244 k�, C � 31.66 nF
27. (a) f p � 251.65 kHz
(b) Z Tp � 4.444 k�
(c) Q p � 14.05
(d) BW � 17.91 kHz
(e) 20 nF: f p � 194.93 kHz,
Z Tp � 49.94 �, Q p � 2.04,
BW � 95.55 kHz
(f) 1 nF: f p � 251.65 kHz,
Z Tp � 13.33 k�, Q p � 21.08,
BW � 11.94 kHz
APPENDIX H ⏐⏐⏐ 1217
(g) Network: L/C � 100 � 10 3
part (e): L/C � 1 � 10 3
part (f): L/C � 400 � 10 3
(h) yes, L/C , BW
Chapter 21
1. (a) 0.2 H
(b) e p � 1.6 V, e s � 5.12 V
(c) e p � 15 V, e s � 24 V
3. (a) 158.02 mH
(b) e p � 24 V, e s � 1.8 V
(c) e p � 15 V, e s � 24 V
5. (a) 3.125 V (b) 391.02 mWb
7. 56.31 Hz
9. 400 �
11. 12,000t
13. (a) 3
(b) 2.78 W
15. (a) 360.56 � �86.82°
(b) 332.82 mA ��86.82°
(c) V Re � 6.656 V ��86.82°,
V Xe � 13.313 V �3.18°,
V XL � 106.50 V �3.18°
19. 1.354 H
21. I 1(R 1 � jX L1 ) � I 2( jX m) � E 1
I 1( jX m) � I 2( jX L2 � R L) � 0
23. (a) 20 (b) 83.33 A (c) 4.167 A
(d) a � ���, I s � 4.167 A,
I p � 83.33 A
25. (a) 25 V �0°, 5 A �0°
(b) 80 � �0° (c) 20 � �0°
27. (a) E 2 � 40 V �60°,
I 2 � 3.33 A �60°,
E 3 � 30 V �60°,
I 3 � 3 A �60°
(b) R 1 � 64.52 �
29. [Z 1�X L1 ]I 1�Z M12 I 2 �Z M13 I 3� E 1,
Z M12 I 1 � [Z 2 � Z 3 � X L2 ]I 2 �
Z 2I 3 � 0,
Z M13 I 1 � Z 2I 2 � [Z 2 � Z 4 �
X L3 ]I 3 � 0
Chapter 22
1. (a) 120.1 V (b) 120.1 V
(c) 12.01 A (d) 12.01 A
3. (a) 120.1 V (b) 120.1 V
(c) 16.98 A (d) 16.98 A
5. (a) v 2 ��120°, v 3 � 120°
(b) V an � 120 V �0°,
V bn � 120 V ��120°,
V cn � 120 V �120°
(c) I an � 8 A ��53.13°,
I bn � 8 A ��173.13°,
I cn � 8 A �66.87°
(e) 8 A (f) 207.85 V
7. V f � 127 V, I f � 8.98 A,
I L � 8.98 A