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电路理论基础习题答案第一章1-1. (a)、(b)吸收10W;(c)、(d)发出10W.1-2. 1A; 10V; 1A; 4mW.1-3. 0.5A; 6V; 15et V; 1.75cos2t A; 3; 1.8cos22t W.1-4. u =104 i ; u = -104 i ; u =2000i ; u = -104 i ;0tms pmW41002250tmsimA4101-5.i, A0.4 .75 t 0 .25 1.25ms-0.4(d)1-6. 0.1A.1-7. u, V1000 10 t, ms(e) u, V 80 0 10 -20 t, ms(f)iA0ms11231-e-tt1-8. 2mF; 4mC; 0; 4mJ.1-9. 9.6V,0.192W, 1.152mJ; 16V, 0, 3.2mJ. p(W) 10012t(s)-101-10. 1 e-106 tA , t 0 取s .1-11. 3H, 6(1 t )2 J; 3mH, 6(11000 t ) 2 mJ;1-12. 0.4F, 0 .1-13. 供12W; 吸40W; 吸2W; (2V)供26W, (5A)吸10W.1-14. 40V, 1mA; 50V, 1mA; 50V, 1mA.1-15. 0.5A,1W; 2A,4W; 1A, 2W; 1A,2W.1-16. 10V,50W;50V,250W;3V,15W;2V,10W.1-17. (a)2V;R耗4/3W;US : 2/3W, IS : 2W; (b) 3V; R耗3W; US : 2W, IS :5W; (c)2V,3V; R耗4W;3W;US :2W, IS :5W;1-18. 24V, 发72W; 3A, 吸15W; 24V6电压源; 3A电流源或5/3电阻.1-19. 0,US/RL ,US ;US/R1 ,US/R1 , US Rf /R1 .1-20. 6A, 4A, 2A, 1A, 4A; 8V, 10V, 18V.1-21. K打开:(a)0, 0, 0; (b)10V, 0, 10V; (c)10V,10V,0; K闭合: (a)10V,4V,6V; (b)4V,4V,0; (c)4V,0,4V;1-22. 2V; 7V; 3.25V; 2V.1-23. 10.1-24. 14V.1-25. 2.333V, 1.333A; 0.4V, 0.8A. 1-26. 12V, 2A, 48W; 6V, 3A, 54W . 第二章2-1. 2.5; 1.6R; 8/3; 0.5R; 4; 1.448; .R/8; 1.5; 1.269; 40; 14.2-2. 11.11; 8; 12.5.2-3. 1.618.2-4. 400V;363.6V;IA=.5A, 电流表及滑线电阻损坏.2-6. 5k.2-7. 0.75.2-8. 10/3A,1.2;5V,3; 8V,4; 0.5A,30/11.2-9. 1A,2; 5V,2; 2A; 2A; 2A,6.2-10. 75mA; 0.5A.2-11. 6; 7.5; 0; 2.1.2-12. 4; 1.5; 2k.2-13. 5.333A; 4.286A.2-14. (a) 1 A; (b) 2 A, 吸20W.2-16. 3A.2-17. 7.33V.2-18. 86.76W.2-19. 1V, 4W.2-20. 64W.2-21. 15A, 11A, 17A.2-23. 7V, 3A; 8V,1A.2-24. 4V, 2.5V, 2V.2-26. 60V.2-27. 4.5V.2-28. 18V.2-29. 原构成无解的矛盾方程组; (改后)4V,10V.2-30. 3.33 kV, 50 kV.2-31. R3 (R1 +R2 ) iS /R1 .2-32. 可证明 I L = uS /R3 .2-33. 2 ; 4 .2-34. (uS1 + uS2 + uS3 )/3 . 第三章3-1. 1+9=8V; 6+9=15V; sin t +0.2 e t V.3-2. 155V.3-3. 190mA.3-4. 1.8倍.3-5. 左供52W, 右供78W.3-6. 1V; 1A; 0.75A.3-7. 3A; 1.33mA; 1.5mA; 2/3A; 2A.3-8. 20V, 75.38V.3-9. 1A; 2A; 17.3mA.3-10. 5V, 20V; 2V, 4V.3-12. 4.6V.3-13. 2V; 0.5A.3-14. 10V, 5kV.3-15. 4/3V, 75W; 4/3V, 4.69W.3-16. 1V, 2.25W.3-18. 50V.3-19. 0.2A.3-20. 1A.3-21. 1.6V.3-22. 4A; 2A.3-23. 23.6V; 5A,10V.3-24. 52V. 第四章4-1. 141.1V, 100V, 50Hz, 0.02s,0o, 120o; 120 o.4-2. 7.07/0 o A, 1/45 o A, 18.75/40.9 o A.4-3. , 7.75mA .4-4. 10/53.13oA, 10/126.87oA, 10/126.87oA, 10/53.13oA;各瞬时表达式略。4-5. 67.08V, 30V, 25V; 12V, 0, 12V, 0; 0, 0, 12V.4-6. 7.07A; 10A, 50A.4-7. 173.2V.4-8. 3.2V, 1.2H.4-9. 5V, 0.1F.4-10. 5A; 20/53.13oV, 0.05/53.13o S.4-11. 52.34V.4-12. 10A, 141V.4-13. 5V, 0.0577F; 3V, 29.33H; 3V,0.125F; 0V,0.02F4-14. 3.47V, 53.2mF.4-15. 4-16. 26.3V, 78.8mH, 34.6mF.4-17. 118.0V, 0.252mF.4-18. 0.751mF .4-19. 40.53pF.4-20. 10/0o A, 10/0o V, 200W,1; 20A, 0;2A.4-21. 21.26A,1800W,0.846; 10.2V,2778W,0.926; 26.04mF.4-22. 495W, 0.375.4-23. 20 + j10V, 2.5W, 0.894.4-24. 1.99V,31.99V或6.11V, 11V,19.05V.4-25. 30+j10=31.62/18.43o V, 300W, 300Var.4-26. A;2VA, j2VA,2VA, j2VA, 4VA.4-27. 2/90o A; 13.3/11.9o V, 7.97j2.16V, 3.16/63.4o V, 1+j1V.4-28. 近似为:j0.5V, 50 + j50V.4-29. 5A, 11.09A, 10.83A, 1066W.4-30. .4-31. 200/150o mA.4-32. 10H.4-33. 5V, 27.57mH, 367.75mF.4-34. 0.5V, 0.5H; 0.25W.4-35. 1.86 + j0.56V, 8.10W.4-37. 100V, 0.667H, 0.167mF, 20.4-38. 10V, 0.796mH, 3183pF; 50.4-39. 0.1mF; 4-40. 0.02H, 50.4-41. 100.5pF, 0.091V.4-42. 25mF , 180V.4-43. 0.253mF , 0.760mF .4-44. 4.12A.4-45. 1.174A, 376.5V.4-46. 30.09A, 17.37A.4-47. 54.05mF.4-48. (1) IA不变,因对称时中线不起作用。(2) 仍不变,因为S闭合时各相负载电压未变,电流表所涉及的两个A相负载也未变。4-49. 38/53.13oA, 38/66.87oA, 33.59/75oA; 64.41/77.35oA; 9.09/150.0oA; 67.68/95.29oA.4-50. 190W, 380W.4-51. 1kW.4-52. 6.06A.4-53. 871.2W, 1161.6Var; 290.4W, 668.5Var.4-54. P(a) =P左 +P右 ; Q(b) = PW .4-55. 可.4-56. 0.1103H, 91.89mF.(4-574-58从略.) 第五章5-1. 5-2. 根据绘出.5-3. 5-4. (b)读数大。5-5. 52.83mH.5-6. 20mH, 2.2V, 4.4V, 4.4V, 44mA, 22mA, 66mA.5-7. 1.59/12.7o A.5-8. 13.42/10.3o V; 1.69/61.3o V.5-9. .5-10. j0.75V.5-11. 50mH.5-12. 20mH, 2.5W, 250V.5-13. 4.06/20.98o A, 0.406/9.05o A, 8.903/157.8o A.5-14. 2kW, 3.2kW.5-15. 0.09W; 3, 0.25W.5-16. 1.414A.5-17. U2 /U1 从3.356 降为0.0239.5-18. 20 j15V, 2.8125W.5-19. 80.0W, 20.0W, 100W. 注意到PR1= 20W,PR2= 60W,可见:电源供给第2线圈共100W的功率,其本身仅耗60W,其余40W经互感耦合至第1线圈,线圈1耗20W,还剩20W送还给电源(P1=20W) P =10020 = 80W 。5-20. 9.09A,0.91A5-21. 5-22. 50/458 V,500/458 V;0.1A.5-23. 1.96nF,0.011H,0.0125W.5-24. 40kV;2mA,4mA;2V,4V.5-25. 50pF,80pF,4mH;0.25A,0.125A,1.25W.5-26. 107rad/s, 100; 80V, 40V; 50V, 50V, 20V, 40V.5-27. 100pF,250pF,2
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