E = s /e e. (1.61)
φ1 - φ 2 p
φ1 - φ 2 = Ed = qd /eeS. (1.62)
p (1.62) p (1.59) p p
= eeS/d. (1.63)
p p p p
C = 4pee Rr/(R-r), (1.64)
r R p p p.
p p p r R p p
C = 2pee l /ln(R/ r), (1.65)
l p.
n
= 1 + 2 + 3 +....+ n, = Σ i, (1.66)
i = 1
n
1/ = 1/1 + 1/2 + 1/3 +... + 1/n = Σ(1/i). (1.67)
i = 1
p p
p
p p p p p:
W = Cj2 /2 = qj/2 = q2/2C. (1.68)
p p p
W = q(j2 - j1) /2 = q∆j/2,
, q, C, ∆j
W = q∆j/2 = q2 /2C = C∆j2 /2. (1.69)
p p p, p p p p ,
W = C∆j2 /2 = ee0S∆j2/2d = ee0 S(∆j/d)2d /2.
, ∆j /d = E, E = s /ee0
W = ee0E2 V/2 = s2V/2ee0, (1.70)
d - ; S - ; V = S d , p; s - ; e - , ().
p p p p e
w = W/V = ee0E2/2. (1.71)
p , p V:
W = ò w dV = ò (ee0E2/2)dV. (1.72)
. d1 = 2 d2 = 1,5 . S = 200 2. ∆φ = 800 . , .
. 1 2:
C1 = e1eS/d1, C2 = e2eS/d2,
e1 e2 - .
e1 = 6, e2 = 2,6.
(1.67):
C1 C2 e1eS/d1 e2eS/d2 e1e2eS
= ----------- = ----------------------- = ------------------- =
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C1 + C1 e1eS/d1 + e2eS/d2 e1d2 + d1e2
6 ∙2,6∙ 8,85 ∙10-12∙ 2∙ 10-4
= ---------------------------------- = 2,26∙10-12 = 2,26 .
6 ∙1,5∙ 10-3 + 2,6∙ 2∙ 10-3
q ∆φ : q 1 = q2 = q, ∆φ = ∆φ1+ ∆φ2,
∆φ = q /C, ∆φ1 = q /C1, ∆φ2 = q /C2.
,
C ∆φ C ∆φ d1 2,26∙ 10-12∙800∙2∙10-3
∆φ1 = -------- = ------------ = ---------------------------- = 340 ().
C1 e1eS 6∙8,85 ∙10-12∙2∙10-4
∆φ2 = ∆φ - ∆φ1 = 800 340 = 460 ().
w (1.71):
W ∆φ2 2,26∙ 10-12∙8002
w = ------ = -------------- = -------------------------- = 0,97 (/3).
V 2S(d1 + d2) 2∙2∙10-4(2 + 1,5) 10-3
1. (, . ).
2. (, ) (, . ).
3. (, . ).
4. (, . ).
5. (, . ).
6. .
7. ,
) ) ) ) . .
8. /?
9. 0,5 700 . ? .
10. 3 .
11.
) 510-19 ; ) 810-18 ; ) 110-19 ; ) 0,32 ?
12. . ?
13. .
14. , (..). .
15. +q -5 q. , 10 . ?
16. 
, . , .
17. 10?
18. , 3 ?
19. ( ) , ().
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20. 4- , , , 100 /. ?
21. 
, .
22. +q +2q. , .
23. -110-9 +910-9 1 . , , .
24. 210-9 1 . , , .
25. 
, .
26. 10 , , . .
27. 
, (..). .
28. 
+q -q (.1) 5 . -q , .2?
29. - (, , - ), .
30. +q0, , . .
31. q1 = +5 q2 = -15 (1000 -) . .
32. +q. -q/2 ,
) ) ) .
33. ().
34. 10 .
35. q1 = 10 , q2 = -10 q3 = -30 , 10 .
36. q1 = 10-7 q2 = 10-9 10 . , q2 1 q1 ?
37. -, 1,60 . 107 /, . - ?
38. .
39. q1 = 10 q2 = - 10 20 . , 0?
40. 10 / () 2 ?
41.
42. 4 q = 4,4 . q1 = 2,2 .
43. 
, 10 / ?
44. 10-5 10-9 . 150 20 /. , ?
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45. σ = 10 /2. , 50 70 .
46. 
2030 105 . ?
47. σ = + 10 / 2. , ? .
48. . , + 5 /2 -3 /2 .
49. 
(. .) 100 /. ?
50. 1 , , . , 5 /2.
51. 
, σ = 1 ∕ 2. r = 10 . , .
52. 1, 2 3 . Δφ12 Δφ13. .
53. . 1 2.
54. ?
55. 
(. .).
56. 1 +1 (σ = -10 / 2). . 0,1 ?
57. 10 10 /. .
58. 10 106 . .
59. .
60. 5 1 . 3 . 2 .
61. , . - , ; r - .
 |
62. 
φ r. r = 20.
63. 1 , 20 /. , 0,5 2 .
64. (τ1 = 10 /, τ2 = - 20 /) 10 2 . ?
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65. 10 / 2 ?
66. , 10-4 , 10000 . .
67. . , 1: 4, ?
68. 10-6 0,01 ?
69. 10 100 . .
70. 20 100 . . , 100..
71. 
(. ), 1 =10 , 2 = 5 , 3 = 2 .
72. (. ), 1 =10 , 2 = 5 , 3 = 2 . 100 .
73. . 6 .
1) 3 2) 6 3) 18 4) 2
74. Δφ . , 3 ?
) ) ) ) .
75. . .
76. q1 = 5 q2 = - 10 20 . , ?
77. 
(+ σ) . .
78. σ1 = +2 /2 σ2 = - 4 /2. .
79. = 10 (σ = 1 / 2). , 30˚ .
80. r = 10 (σ = -10 / 2). , 30˚ .
81. 2106 / , . , 10 , 1 ?
82. 20 1 100 / . ? .
83. , 3.10-6 /2, 6.10-6 /2. 3 , 2. .
84. , σ = 1 ∕ 2. r = 10 . , .
85. 0.6 . s1 = 0,2 /2 s2 = - 0,3 /2. .
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86. 5 5 15 0,5 . ?
87. 12 . 3 ... 0,8. .
88. σ1 = +2 /2 σ2 = - 4 /2, 5 . . .
89. R . ? .
90. r = 20 , σ1 = 10 ∕ 2 σ2 = - 20 ∕2. , .
91. , σ 2σ (│σ = 10 /), 5 .. , 0,1 0,5 . (), .
92. (. ).
93. , 10 , 10 /. ..
94. 10 9 .
95. , (σ = 10 /2), ...
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