电路理论基础习题答案_111215修改-张砦

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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; –15e–t

V; 1.75cos2t A; 3Ω; 1.8cos2

2t W.

1-4. u =104 i ; u = -104 i ; u =2000i ; u = -104 i ; 1-5. mA i mW p

10 100

t 25 t 0 4 ms 0 2 4 ms 1-6. 0.1A. i, A 1-7. 0.4 .75 t 0 .25 1.25 ms u, V -0.4 u 100 (d) , V 80

0 10 -20 t, ms 0 10 t, ms (e) 1-8. 2?F; 4?C; 0; 4?J. A i (f) 1-9. 9.6V,0.192W, 1.152mJ; 1 16V, 0, 3.2mJ. 1-e-t t 1-10. 1– e

-10

6

tA , t >0 取s .

0 1 2 3 ?s 1-11. 3H, 6(1– t )2 J; 3mH, p(W) 6(1–1000 t ) 2 mJ;

10 .4F, 0 .

0 1 2 t(s)1-12. 0 1-13. 供12W; 吸40W;

-10 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;

24V?电压源; 3A↓电流源或5/3Ω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. 10Ω.

1-24. 14V.

1-25. –2.333V, 1.333A; 0.4V, 0.8A. 1-26. 80V. 1-26(习题册)(a):12V;2A;-48W. (b):-6V;3A;-54W ※

第二章

2-1. 2.5Ω; 1.6R; 8/3Ω; 0.5R; 4Ω; 1.448Ω; . R/8; 1.5Ω; 1.269Ω; 40Ω; 14Ω. 2-2. P低=484W,P高?484?4W. 2-3. 1.618Ω.

2-4. 400V;363.6V;I.

A=5A, 电流表及滑线电阻损坏. 2-6. 5kΩ. 2-7. 0.75Ω.

2-8.R1=38KΩ,R2=10/3KΩ 2-9. 10/3A,1.2Ω;–5V,3Ω; 8V,4Ω; 0.5A,30/11Ω. 2-10. 1A,2Ω; 5V,2Ω; 2A; 2A; 2A,6Ω. 2-11. –75mA; –0.5A.

2-12. 6Ω; 7.5Ω; 0; 2.1Ω. 2-13. 4Ω; 1.5Ω; 2kΩ. 2-14.1.6V,-24V 2-15.(习题册) 2.5W 2-15. (a) 2A; (b) –2 A↓, 吸20W. 2-16. 2-17. 3A. 2-18. 7.33V. 2-19. 85.76W. 2-20. 1V, 4W. 2-21. 64W.

2-22.电压源发50W,电流源发1050W 2-23

2-24. 7V, 3A; 8V,1A. 2-25. 4V, 2.5V, 2V. 2-26.2Ω 2-27. 60V. 2-28. 4.5V. 2-29. –18V.

2-29(习题册):4W;48W

2-30. 原构成无解的矛盾方程组; (改后)4V,10V. 2-31

2-32.2.5A

2-33. 3.33 k?, 50 k?.

2-34 加法运算 u0??(ui1?ui2?ui3) 2-35. R3 (R1 +R2 ) iS /R1 . 2-36. 可证明 I L =- uS /R3 .

2-37. –2 ; 4 . 2-38 11/2 ※

第三章

3-1. 44V;–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. 1?; 1A; 0.75A.

3-7. 3A; 1.33mA; 1.5mA; 2/3A; 2A. 3-8. 20V, –75.38V. 3-8(习题册):0.2Ω 3-9(习题册):2W 3-9. –1A; 2A; 1A.

3-10. 5V, 20?; –2V, 4?. 3-12. 4.6?. 3-13. 2V; 0.5A. 3-14. 10V, 5k?. 3-15.

3-16.22.5V

3-17. 4/3?, 75W; 4/3?, 4.69W. 3-18. 3?, 529/12W.; 1?, 2.25W. 3-19

3-20. 50?. 3-21. 0.2A. 3-22. 1A. 3-23. 1.6V. 3-24. 4A;

3-25. 23.6V; 5A,10V. 3-26. 3-27 4V

3-28. ※

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. Um3 , 7.75mA .

4-4. 10/53.13oA, 10/126.87oA, 10/–126.87o

A,

10/–53.13o

A;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. 173.2?. 4-8. 4?, 1.5H. 4-9.11V

4-10. 5?, 0.1F.

4-11. 5A; 20/–53.13o?, 0.05/53.13o

S.

4-12

4-13. 5?, 0.0577F; 3?, 29.33H; 3?,0.125F; 0?,0.02F 4-14.-Z 4-15.

4-16. 10A, 141V. 4-17. 3.47?, 53.2?F. 4-18. 0.3162cos(1000t?108.4?)A . 4-19. 26.3?, 78.8mH, 34.6?F. 4-20. 118.0V, 0.252?F. 4-21. 0.751?F . 4-22. 40.53pF. 4-23.

4-24. 10/0o A, 10/0o

V, 200W,1; 20A, 0;5A. 4-25. 21.26A,1800W,0.846; 10.2?,2778W,0.926; 26.04?F. 4-26. 495W, 0.375. 4-27.

4-28. 20 + j10?, 2.5W, 0.894.

4-29. 1.99?,31.99?或6.11?, 11?,–19.05?.

4-30. 30+j10=31.62/18.43o

V, 300W, –300Var.

4-31. 2cos(t?75?)A;2VA, j2VA,2VA, –j2VA, –4VA. 4-31(习题册4-32. 2/–90o ):-0.5j.

A; 13.3/11.9o

V, 7.97–j 3.16/63.4o

2.16?,

V, 1+j1?.

4-33(习题册):(1):I=1.5+2j;U1=75j (2)S=400VA;P=240W;Q=-320Var 4-34. 5A, 11.09A, 10.83A, 1066W. 4-35. 1(?2?1?j4-36. 200/–150o

6?).

mA. 4-37. 10H.

4-38. 5?, 27.57mH, 367.75?F. 4-39. 0.5?, 0.5H; 0.25W. 4-40. 1.86 + j0.56?, 8.10W. 4-41. 0.8 + j0.4?, 0.125W 4-42.

4-43. 100?, 0.667H, 0.167?F, 20.. 4-44. 10?, 0.796mH, 3183pF; 50. 4-45. 0.1?F; i?0.22cos5000t A; uL?4002cos(5000t?90?)V. 4-46. 0.02H, 50.

4-47. 100.5pF, 0.091V. 4-48. 25?F , 180V. 4-49. 0.253?F , 0.760?F . 4-50. 4.12A. 4-51.

4-52. 30.09(-65.8)A, 17.37(-35.8)A.

4-53. 2850W;1425W 4-54.4.84?

4-55. 9077W;7942W

4-56. (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。

4-57. 38/–53.13oA, 38/–66.87oA, 33.59o

64.41/–77.35oA; 9.09/–150.0oA; 67.68/95.29o

/75A;

A. 4-58. 190W, 380W. 4-59. 1kW. 4-60. 6.06A.

4-61. 871.2W, 1161.6Var; 290.4W, –668.5Var. 4-62. P(a) =P左 +P右 ; Q(b) = 3PW .

4-63. 3E?A(Z?3Z1) , ZE?A(Z?3Z1) ; 可. 4-64. 0.1103H, 91.89?F. ※

第五章

5-1. cost V, ?0.25costV; 2sint V, 0.5sintV;

0.25e?t?2e?2tV, 0.5e?2t?0.25e?tV.

5-2. 根据ud i1d id id i1?4dt?2d, u11?d?22绘出.

t td t5-3. 152cos(2t?143.13o) V.

5-4. (b)读数大。

5-5. ?5e?tV,10.5e?tV 5-6. 52.83mH. 5-7.

5-8. 20mH, 2.2V, 4.4V, 45-9. 1.59/–12.7o

.4V, 44mA, 22mA, 66mA.

A. 5-10. 13.42/10.3o V; 1.69/–61.3o

V. 5-11. 1(2?MC) . 5-12. j0.75?. 5-13.

5-14. 50mH.

5-15. 20?H, 2.5W, 250V.

5-16. 4.06/–20.98o A, 0.406/–9.05o A, 8.903/–157.8o

A. 5-17. 2kW, 3.2kW.

5-18. 0.09W; 3, 0.25W. 5-19. 1.414A.

5-20. U2 /U1 从3.356 降为0.0239. 5-21. 20 – j15?, 2.8125W.

5-22. 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 =100-20 = 80W 。

5-23. 9.09A,0.91A 5-24. nR1R2(ni1?i2)R1R2(ni1?iR?nR;2)

12R1?nR25-25. 502/45? V,5002/45? ?;0.1A.

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、cos2t≠0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、cos2t≠–1时单调(否则

压控); 6-2. 1.25?10?5(3cosωt?cos3ωt)V.

即出现基波和三次谐波。 6-3. 3?, 11?; 0.5?, 0.25?. 6-4. 7.5mH, 2.5mH.

6-5. I,A U,V

I I 0 15 US/R U

U

– 0.15 0 US -0 RI

IS S (A6-6. (B)) (C) i i 1

–3 –2 –2 –1 1 0– 1 2 u 0–1 1 u

6-6(习题册)(c)': 3V;1.5A

(d)'

6-7. (a) u = 2V ;(b) u = 6V ;

??cost?ε(cost), 当cost?0, ?1;(c)u? ??[0, 1], 当cost?0;

???(??, ?1], 当cost??1.6-8. 1.71V, 4.3A; 5.14A, 0.857A. 6-9. 10.83V或5.17V. 6-10. 1.34V, 1.16A,.

2.17A uo(V) 6-11 3 6-12 3.53mA –1 11T –––6-13. 20 19T –––20

–1 0 3T –– 3T –– t

20 10 6-14. 2?19cost V. 6-15. u?2?0.071cos(20t?45?)

6-16. 0.75H, 0.75H, 0.5F; 3H, 3H, 0.25F;

2 + 1.463?10?3 cos(t–15.37?)V; 4 + 1.288?10?3 cos(t–38.20?)V. 6-17. 1 + (2/3)?10?3

cos628t A .

6-18. ??4un1?3(un1?un2)2?3(un1?un2)2???3(u2n1?un2)3(u2? n1?un2)?1?6-19. –1V,2A .

6-20. 1V, 1.667A, 1.75A, 0.0833A;?1.875mV,

?9.375mA,?9.531mA, ?0.1562mA . ※

第七章

7-1.

2Um?(12?π4sinωt?11?3cos2ωt1

?13?5cos4ωt?5?7cos6ωt??)7-2. E?πE??1sinkωt ,ω ?2π2 k?1kT7-3. Um ? tT , Um ? tT .

7-4. 122.9V, 10.97A;272.1W. 7-5. 89.6W

7-6. 100+20cos314 t +14cos(942 t +45o

)V; 101.5V, 10.15A, 1029.8W. 7-7. 87.25V, 1.69A, 1.7-8. 2cos(2 t +45o

80A.

)A, 3W.

7-9. 0.894cos(t–26.57o )+1.414cos(2t–45o

)A; 2.8W.

7-10. 30mH, 8.33?F, 36o

7-11. 5+5cos(?t–45o

.9.

)V. 7-12. 0.2533mH, 3.166?H. 7-13. 7.523mH, 31.86mH,

141cos?t+52.92 cos(3?t–60o

)V. 7-14uR(t)?100?50cos2?1t

i1?1?2cos?(?1t?2)

112.5W

7-15. 700W.

7-16.i??1?2.8cos(t?23?)A 5A;15W

7-17. 160V, 212.1V, 71.06V. 7-18. 80.5W

7-19. io o

B = 20.3cos(?t-169.67)+1.68cos(3?t–79.76) +0.187 cos(5?t +36.64o

) A.

7-20. 101.8V; 223.3V, 220.7V; 382 .2V, 223.3V. ※

第八章

8-1.

d uCdt?10ud uRC?120 ; Ldt?L(1?? )u L?0 ; 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. 3.330A; 2V; -10V,10V/s.

8-6.

4e?2tV, 40e?2t? A, t?0;

3e?111.1tV, ?0.667e?111.1tmA, t?0; -2.5e?5tV, 0.5e?5tA, t?0

8-7. 10e?666.7tV, t?0; 10e?2tV, t?0. 8-8. (a)2e?2tA, -16e?2tV, t?0.

(b)2e?50tA, 6e?50tV, t?0. 8-9. 0.24(e?500t?e?1000t)A, t?0

8-10. 1.024kV; 52.66MΩ; 4588.4s; 50kA; 50MW. 8-11. 9(1?e?33333. 3t)V, t?0;

12(1?e?0.1t)V, t?0.

8-12. i??0.5?0.75e?208.33tmA, t?0

8-13. –39.3V, 4.192mA, 6.212mA. 8-14.i?6.325cos(?t??1.572t 18.43?)?eA,

i1?4.472cos(? t?26.57?)?e?1.572tA, i2?4.472cos(?t ?18.43?)?2e?1.572tA, t?0

8-15. (5?e?t)8 V, t?0

8-16. (1)RC并, R =1.333k?, C =0.75?F;

(2) RL并, R =2k?, L =2H. 8-17.15e?7.5tV, t?0.

8-18. u?24e?50tV, t?0 8-19. 4?, 4?, 0.25F; 2.5V, 0. 8-20. -10?20e?0.2tV, t?0; 3.466sec.

8-21 8-22. (a)4e?1.25?105tV, t?0. (b)-15?75e?t/9V, t?0.

8-23.u(t)?3?0.5e?3t(t>0)

8-24. (1)5e?1.5tA, 105?1.5t?1.5t3?3eV, 103(1?e)V, t?0 (2) 25J, 0; (3)11.11J, 5.56J, 8.33J; 8-25

8-25(习题册):u(t)??2?e?0.5t?e2t 8-26. 0.582cos(7t?125?)?1.47e?10tA, t?0.

8-27

8-28.(a).ε(t)?ε(t?1)?ε(t?2)?ε(t?3); (b).tε(t)?(t?1)ε(t?1); (c).ε(t)?2(t?1))ε(t?1)?2(t?2)ε(t?2); (d).(t?1ε)(t?1)?2(t?1ε)(t?1)?(t?3ε)(t?3).

8-29

8-30. (1)f(?t1); (2)1.547;(3)f(t1) 8-31. 0.661(1?e?0.476t)ε(t) V.

8-32. ??120?67.5e?250tV, 0?t?0.1s?150?38.6e?57.1(t?0.1)V, t?0.1s. ?u?t158-33. ?1?10-12eV, 0?t?10ms?u?t15,; 2?10?15eV?u(t?10)15?1?-5?5.84e?V,?-5?7.3e t?10ms?u?(t?10)15. 2V,8-34. 0.5(1?e?t)ε(t)?0.5[1?e?(t?2)ε](t?2).

8-35

8-36. (1)1-2e?t, t?0; (2)-e?t, t?0;

(3)3?e?t?52cos(t?3?4), t?0.

8-37

8-38. (1)1RR?[1?e?(R1?2)tR1R2C1R2]?(t);

(2)1e?(RRR1?R2)tR1R2C?(t). 12C8-39. (1) d2u CC dt2?5du6dt?518uC ?43?(t) ; (2) d2i L?5diLdt26dt?518iL?23?(t)?4?(t) . 8-40. p1,2??0.417?j0.323, 欠阻尼.

8-41. (a)临界阻尼; (b)过阻尼。

8-42. 60e?4t?40e?5tV; 12e?4t?10e?5tV, t?0. 8-43. 3.36e?0.92t?2.36e?1.31tV, t?0 8-44. 1?1.414e?tcos(t?135?)A. 8-45. 2?3e?t?e?3tA, t?0;

2-2(2t?1)e?2tA, t?0.

8-46.1.631e?2t-1.892e?4t?0.434cos(t?49.4?)V, t?0.8-47. 5?1500te?200tA, t?0. 8-48. 16cos8t V, t?0;

0.778e?0.375tsin0.2856t V, t?0.

8-49.(a)10?(5?e?4t)ε(t)A; 12δ(t)?12e?4tε(t)V.

(b)3?1(1?e?1.5t)ε(t)A;δ (t)?0.5e?1.5t3ε(t)V.

8-50. (a)3?(0.667?0.133e?2.4t)ε(t)V; ?0.6δ(t)?[2?0.16e?2.4tε](t)A .

(b)10?(4?2.4e?t/1.5)ε(t)V; ?0.48δ(t)?0.48e?t/1.5ε(t)A.

8-51. (1)(t?3)e?t?(t?3);

(2)(t?1)[?(t?1)??(t?2)].

8-52. (1?e?2t)?(t)?[1?e?2(t?1)]?(t?1)

?2[1?e?2(t?2)]?(t?2)?4e?2(t?3)?(t?3)A. 8-53. (15?10t?10e?t)?(t)?[15?10t?5e?(t?1)]?(t?1)V.

8-54. (1)?2?0.833t3e?(t); (2)(0.96?0.8t?0.96e?0.833t)?(t)?[0.96?0.8t?0.16e?0.833(t?1)]?(t?1)V.

?du8-55. ?C?dt????201203?? ?uC??0????di?????L?dt??????35?6?1? uS . 5???iL???5???du8-56. ?C?dt???1?1??u?C????1?4??? uS?di???4? L?dt????31?6????i?L????30???du?C????dt???0?C1?C1??uC??8-57. ?diL1?R????0?1??dt????L1?1L0? ?????? uS

?di?11??iL1??L?1?L2??1R2??iL2??dt????L0?2L????0?2?00R?uC?uO??2? ??iiL1???0? uS;

?L2??8-58. duC1dt??332uduSC1?132uS?12dt ; u0?uS?uC1;

?du?C1?dt??01????166???u?1?C1? ?duC2????6?dt???1210?1? ??u??1??C2?? uS,

?13??diL??0?dt????2?1?????i??12?L????0???010? ?u??uC1?uO??C2???0? uS.

?iL????du??8-59.

Cdt???1?10??C??uC??1 ?di??R3C1?R1L2R????2M??RC? 3??dt???L?2L1L2?M2?L1L2?M2L2 i??1????di2?????MR1L1M?2?M??R????0?? uS2L1?dt??i??2??0??????L21L2?ML1L2?M2LM2????1L2?

第十章

10-1.

(a) ?R?R?12R2??(1?β)ZZ??R2R2?? , (b) ??(1?β)ZZ?? , 10-2. (a)?G?jωC?G?1??GG?jωC?2??; (b)1R?1?3 ?13?

(c)?4?3??1?5?4??31.5??S ; (d)?3?? ?45?? S . 10-3. (a)?1?j0.5j50Ω???0.01S1??; (b)??1?ω2jω(2?ω2)??jω1?ω2??.(c)??10???0?1?? ; (d)??1?1?0?? 01?? .

?R1010-4. (a)1?12?j4Ω43?????4j1S??; (b)??r m1?. ??R?2R2?(c)?20??10???100?? . 10-5. (a)T??10???jωC1?? ; Y不存在; (b)Z??jωL?1?jωM???jωMjωL; 全耦合时Y2??不存在;.(c)T??n0???01n??; 或H??0n????n0??; Z和Y不存在;

(d)H??00?0??0?β0?; 或T??0?β1??????; Z和Y不存在;?(e)T??1jωL???jωL1??01??; 或H???0?1??; Z不存在.10-6. ?5/3178/3?????1.66759.33Ω??1/2425/12???0.04167S2.0833? ?10-7. (a) 见右图; Z2i = 1/Y22 (b)U?2OC?Z21I?+ a

S ; · Z. U· 2OC = -YU- 21b

S / Y21

2i?Z22 , 等效电路从略 (c)Z21Z21Z12?ZU???S?Z22??I?2 ? U?2?Z2iI?11?Z?OC2 , 11(d)U?2?Z21I?S?Z22I?2?U?2OC?Z2iI?2 .10-8.

(a) 12.5? 50 50 7 ? 7 ? (b)

2? 4? 2?

10-9. R1?5?;R2?10?;R3?20? 10-10.

?118?I I2 ??+ 1?4S3? ? . U2.5Ω 1 1.02W .

- 0.25Ω 0.5Ω +

U2 -

10-11.

?0.8?1.7+ 1.7S ???0.20.2? S

??.U1 -0.9S -1.5S 1.5U

- 1 10-12.

I1 I2 + U2S + 1 3S 1S U2 - -

I1 I2

+ U2S + 1 3S 1S U

- 2U2 1 -

I1 I2 + U1 20S 5U + 1 U2

10S - - 10-13. –1/29 ; ??1?5(ωCR)2?jωCR(6?ω2C2R2)R(3?ω2C2R2?j4ωCR)???4ω2C2R?jωC(3?ω2C2R2)1?ω2C2R2?j3ωCR? .?10-14.

?53?????26?275/9Ω???26?30.556Ω?

?3S2? ;????2S?43/18??????2S?2.389?? ,??2?ω21?ω2?jω??j[ω3?3ω?(1/ω)]1?ω2? . ?15?13?10-15.jωC?L2M? 1?????jωC???14??1315??S ; ?? .???jωC?M?jωC?L1????10-16. LC,LC.

10-17. 4? , 5.493Np ; 10-18. –2.5e –10t

6A , 0.0988A .

V,t > 0 . 10-19.

10-20. 10V, –0.5A . 10-21

10-22 (2) 20W

10-23. 103?12cos3?t A,3.336A .

10-24. j?r 27n2

C .

1/ngR1/ng?10-25. ?, ?ng?0??jωCr?ZL1?jωCZL2Z1Z2??g(Z?Z?)1/ng?12?Z3. ??Z1??g(1?2)Z3gZ3????210-26. 10-27.

.

2, 低通;2s, 带通; s?2s?2s?2s?2s, Q值低一些的带通。 2s?4s?2?35?10-28:(1)Z??? ?6?4?? (2) ※

第十一章

(2) N1i1?N2i2; 11-1.(1) N1i1?N2i2; (3) N1i1??N2i2;

(4) H(1)铁?H(3)铁?B(1)铁?B(3)铁.11-2. (1)相等;(2)B相等,H(a) > H(b) ;

(3)

?H?dl均不变;B

l(a)、B(b) 与H(b)均基本

不变;H(a)明显下降。

11-3. (1) i2 – i1 ;(2) 主要在气隙中。 11-4. (1)18.55mA; (2)0.423A;

(3)2.65A/cm,60.4A/cm;(4)0.685A; (5)2.65A/cm,6664A/cm。 11-5. 176.4A。

11-6. 2622.5A,0.656A。

11-7. (1)4058mA;(2)302.6N;(3)235.4N。 11-8. 2.888A。 11-9. 约200匝。 11-10

11-11.1.5A 11-12

11-13. 63W, 15.9?, 57.38?, 0.00445S,0.0162S。 11-14. 12.5W,337.5W, 13.5?, 14.28?。 11-15. 9.92A,1.27A , 0.324S, 0.252S。 ※

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