15.A: Mizunguko inayobadilisha-Sasa (Majibu)
- Page ID
- 176596
Angalia Uelewa Wako
15.1. 10 ms
15.2. a\(\displaystyle (20V)sin200πt,(0.20A)sin200πt\);.
b\(\displaystyle (20V)sin200πt,(0.13A)sin(200πt+π/2)\);
c.\(\displaystyle (20V)sin200πt,(2.1A)sin(200πt−π/2)\)
15.3. \(\displaystyle v_R=(V_0R/Z)sin(ωt−ϕ);v_C=(V_0X_C/Z)sin(ωt−ϕ+π/2)=−(V_0X_C/Z)cos(ωt−ϕ);v_L=(V_0X_L/Z)sin(ωt−ϕ-π/2)=(V_0X_L/Z)cos(ωt−ϕ)\)
15.4. \(\displaystyle v(t)=(10.0V)sin90πt\)
15.5. 2.00 V; 10.01 V; 8.01 V
15.6. a. 160 Hz;
b\(\displaystyle 40Ω\);
c\(\displaystyle (0.25A)sin10^3t\);
d. 0.023 rad
15.7. a. nusu;
b. nusu;
c. sawa
15.8. \(\displaystyle v(t)=(0.14V)sin(4.0×10^2t)\)
15.9. a. 12:1;
b. 0.042 A;
c.\(\displaystyle 2.6×10^3Ω\)
Maswali ya dhana
1. Mzunguko wa angular ni\(\displaystyle 2π\) mara frequency.
3. ndiyo kwa wote
5. Nguvu ya papo hapo ni nguvu kwa papo hapo. Nguvu ya wastani ni nguvu iliyopunguzwa juu ya mzunguko au idadi ya mizunguko.
7. Nguvu instantaneous inaweza kuwa hasi, lakini pato nguvu hawezi kuwa hasi.
9. Kuna hasara ndogo ya mafuta ikiwa mistari ya maambukizi hufanya kazi kwenye mikondo ya chini na voltages za juu.
11. Adapta ina transformer ya chini-chini kuwa na voltage ya chini na uwezekano wa sasa ya juu ambayo kifaa kinaweza kufanya kazi.
13. hivyo kila kitanzi unaweza uzoefu huo kubadilisha magnetic flux
Matatizo
15. a\(\displaystyle 530Ω\);.
b\(\displaystyle 53Ω\);
c.\(\displaystyle 5.3Ω\)
17. a\(\displaystyle 1.9Ω\);.
b\(\displaystyle 19Ω\);
c.\(\displaystyle 190Ω\)
19. 360 Hz
21. \(\displaystyle i(t)=(3.2A)sin(120πt)\)
23. a\(\displaystyle 38Ω\);.
b.\(\displaystyle i(t)=(4.24A)sin(120πt−π/2)\)
25. a\(\displaystyle 770Ω\);.
b. 0.16 A;
c\(\displaystyle I=(0.16A)cos(120πt)\);
d.\(\displaystyle v_R=120cos(120πt); v_C=120cos(120πt−π/2)\)
27. a\(\displaystyle 690Ω\);.
b. 0.15 A;
c\(\displaystyle I=(0.15A)sin(1000πt−0.753)\);
d.\(\displaystyle 1100Ω\), 0.092 A,\(\displaystyle I=(0.092A)sin(1000πt+1.09)\)
29. a\(\displaystyle 5.7Ω\);.
b\(\displaystyle 29°\);
c.\(\displaystyle I=(30.A)cos(120πt)\)
31. a. 0.89 A;
b. 5.6A;
c. 1.4 A
33. a. 5.3 W;
b. 2.1 W
35. a. inductor;
b.\(\displaystyle X_{L}=52Ω\)
37. \(\displaystyle 1.3×10^{−7}F\)
39. a. 820 Hz;
b. 7.8
41. a. 50 Hz;
b. 50 W;
c. 13;
d. 25 rad/s
43. Mchanganyiko wa capacitor ni kubwa zaidi kuliko mmenyuko wa inductor kwa sababu sasa inaongoza voltage. Matumizi ya nguvu ni 30 W.
45. a. 45:1;
b. 0.68 A, 0.015 A;
c.\(\displaystyle 160Ω\)
47. a. 41 zamu;
b. 40.9 mA
Matatizo ya ziada
49. a\(\displaystyle i(t)=(1.26A)sin(200πt+π/2)\);.
b\(\displaystyle i(t)=(12.6A)sin(200πt−π/2)\);
c.\(\displaystyle i(t)=(2A)sin(200πt)\)
51. a\(\displaystyle 2.5×10^3Ω,3.6×10^{−3}A\);.
b.\(\displaystyle 7.5Ω,1.2A\)
53. a. 19 A;
b. inductor inaongoza kwa\(\displaystyle 90°\)
55. \(\displaystyle 11.7Ω\)
57. 36 W
59. a\(\displaystyle 5.9×10^4W\);.
b.\(\displaystyle 1.64×10^{11}W\)
Changamoto Matatizo
61. a. 335 MV;
b. matokeo ni njia ya juu sana, vizuri zaidi ya voltage ya kuvunjika kwa hewa juu ya umbali wa kuridhisha;
c. voltage ya pembejeo ni ya juu sana
63. a\(\displaystyle 20Ω\);.
b. 0.5 A;
c.\(\displaystyle 5.4°\), kuacha;
d\(\displaystyle V_R=(9.96V)cos(250πt+5.4°),V_C=(12.7V)cos(250πt+5.4°−90°),V_L=(11.8V)cos(250πt+5.4°+90°),V_{source}=(10.0V)cos(250πt);\);
e. 0.995;
f. 6.25 J
65. a\(\displaystyle 0.75Ω\);.
b\(\displaystyle 7.5Ω\);
c\(\displaystyle 0.75Ω\);
d\(\displaystyle 7.5Ω\);
e\(\displaystyle 1.3Ω\).
f.\(\displaystyle 0.13Ω\)
67. vitengo kama ilivyoandikwa kwa inductive reactance Equation 15.8 ni\(\displaystyle \frac{rad}{s}\) H. radians inaweza kupuuzwa katika uchambuzi kitengo. Henry inaweza kuelezwa kama\(\displaystyle H=\frac{V⋅s}{A}=Ω⋅s\). Kuchanganya haya pamoja matokeo katika kitengo cha\(\displaystyle Ω\) kwa reactance.
69. a. 156 V;
b. 42 V;
c. 154 V
71. a.\(\displaystyle \frac{v_{out}}{v_{in}}=\frac{1}{\sqrt{1+1/ω^2R^2C^2}}\) na\ (\ displaystyle\ frac {v_ {nje}} {v_ {in}} =\ frac {ωL} {\ sqrt {R^2+ω^2L ^ 2}}};
b.\(\displaystyle v_{out}≈v_{in}\) na\(\displaystyle v_{out}≈0\)