电路理论基础习题答案

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1、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)iA0ms112

2、31-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

3、;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)

4、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.

5、 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,

6、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; 1.3

7、3mA; 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

8、.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.4-1

9、3. 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.

10、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,

11、 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

12、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

13、. (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0.0

14、239.5-18. 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

15、，1.25W.5-26. 107rad/s, 100; 80V, 40V; 50V, 50V, 20V, 40V.5-27. 100pF，250pF，2.74mH . 第六章6-1. (a) 非线性、定常、单向、流控；(b) 线性、定常、双向、单调；(c) 非线性、定常、单向、单调；(d) 非线性、时变、单向、cos2t0时单调(否则流控)；(e)、(f) 非线性、定常、单向、单调；(g) 线性、时变、双向、cos2t1时单调(否则压控)；6-2. 即出现基波和三次谐波。6-3. 3V, 11V; 0.5V, 0.25V.6-4. 7.5mH, 2.5mH.IU05V(a)IU0 US(c)U

16、S/RI,AU,V0 15(b) 0.156-5. IU0 RIS(e)-IS1R1IU0 E1(d)-E21R2IU0 US(f)-RIS-ISiu02(c)13211iu013(d)12116-6. i(mA)t0 21.50.51(b)i(mA)t0 210.5(a)6-7. 6-8. (a) u = 2V ；(b) u = 6V ；(c) 6-9. 1.71V, 4.3A; 5.14A, 0.857A.0T1 t203Tuo(V)3103T2011T2019T16-10. 10.83V或5.17V.6-11. 1.34V, 1.16A,.2.17A6-12.6-13. 6-14. 0.

17、75H, 0.75H, 0.5F; 3H, 3H, 0.25F; 2 + 1.46331023 cos(t15.378)V;4 + 1.28831023 cos(t38.208)V.6-15. 1 + (2/3)31023 cos628t A .6-16. 6-17. 1V，2A .6-18. 1V, 1.667A, 1.75A, 0.0833A;61.875mV,69.375mA,69.531mA,60.1562mA . 第七章7-1. 7-2. 7-3. 7-4. 122.9V, 10.97A；272.1W.7-5. 89.6W7-6. 100+20cos314 t +14cos(942

18、t +45o )V; 101.5V, 10.15A, 1029.8W.7-7. 87.25V, 1.69A, 1.80A.7-8. 2cos(2 t +45o )A, 3W.7-9. 0.894cos(t26.57o )+1.414cos(2t45o )A; 2.8W.7-10. 30mH, 8.33mF, 36.9o.7-11. 5+5cos(vt45o )V.7-12. 0.2533mH, 3.166mH.7-13. 7.523mH, 31.86mH, 141cosvt+52.92 cos(3vt60o)V.7-14. 700W.7-15. 160V, 212.1V, 71.06V.7-1

19、6. iB = 20.3cos(vt-169.67o )+1.68cos(3vt79.76o ) +0.187 cos(5vt +36.64o ) A.7-17. 101.8V; 223.3V, 220.7V; 382.2V, 223.3V. 第八章8-1.8-2. 6V,0.2A; 10V,10mA; -8V,2A; US /2;US /R.8-3. (a) US /3, US /(3R), US /(3RC), 0; (b) 0, 0.05, 50000V/s, -1000A/s; (c) 17V, 5A, 0, 4.5A/s;8-4. 0, 0, US /L1 , 0.8-5. 3.33

20、0A; 2V; -10V,10V/s.8-6.; ;8-7. .8-8. (a).(b).8-9. 8-10. 1.024kV; 52.66M; 4588.4s; 50kA; 50MW.8-11. ;.8-12. 8-13. 39.3V, 4.192mA, 6.212mA.8-14.8-15. 8-16. (1)RC并, R =1.333kV, C =0.75mF;(2) RL并, R =2kV, L =2H.8-17.8-18. 4V, 4V, 0.25F; 2.5V, 0.8-19. ; 3.466sec.8-20. (a).(b).8-21. .8-22. (1)(2) 25J, 0;

21、(3)11.11J, 5.56J, 8.33J;8-23. .8-24.8-26. 8-27. .8-28. .8-29. ;.8-30. .8-31. 8-32. 8-33. 8-34. , 欠阻尼.8-35. (a)临界阻尼； (b)过阻尼。8-36. 8-37. 8-38. 8-39. 8-40.8-41. 8-42. 8-43.8-44. 8-45. 8-46. A.8-47. 8-48. .8-49. .8-50. 8-51. ;8-52. ;,.8-53. CAA习题8-54、8-55、8-56从略。第九章9-1. 9-2. 9-3. 9-4. 9-5. + U 2OC = -Y2

22、1U S / Y21-abZ2i = 1/Y229-6. 9-7. (a)见右图；12.5VV50V509-8. (a)4V2V2V(b)0.52.50.25+U2-I2+U1-I19-9. 1.02W .1.7S-0.9S-1.5S1.5U1+U1-9-10. 1SI2 +U2 - +U1 -I12S3S9-11. 1SI2 +U2 - +U1 -I12S3S2U120SI2 +U2 - +U1 -I110S5U19-12. 1/29 ; 9-13. 9-14. 9-15. 9-16. 4V , 5.493Np ; 6A , 0.0988A .9-17. 2.5e 10t V，t 0 .9-

23、18. 10V, 0.5A .9-19. ，3.336A .9-20. jvr 2n2C .9-21. , .9-22. .9-23. , 低通；, 带通；, Q值低一些的带通。 第十章10-1. 10-2. (1)相等；(2)B相等，H(a) H(b) ；(3) 均不变；B(a)、B(b) 与H(b)均基本不变；H(a)明显下降。10-3. (1) i2 i1 ；(2) 主要在气隙中。10-4. (1)18.55mA； (2)0.423A； (3)2.65A/cm，60.4A/cm；(4)0.685A；(5)2.65A/cm，6664A/cm。10-5. 176.4A。10-6. 2622.5A，0.656A。10-7. (1)4058mA；(2)302.6N；(3)235.4N。10-8. 2.888A。10-9. 约200匝。10-10. 63W, 15.9V, 57.38V, 0.00445S，0.0162S。10-11. 12.5W，337.5W, 13.5V, 14.28V。10-11. 9.92A，1.27A , 0.324S, 0.252S。