.
, , . , , , .
, , . . :
.
: L , (. 2.21)
,
- ; I. - .
,
r - .
.
, .
, ,
, , ,
e0, m0 - ; e, m - ; s - .
1. =2 , 100 , =10 ×/. . , I =1 j =60.
, , , , .. , 1 - , ; 2 - .
1 = m B sin a,
m = NIS = NIa2 - ; - ; a - . , a =90 j =30.
2=j.
Ia2NB sin a - j = 0,
B = j/(Ia2NB sin a).
:
= 10 -3×60 / 1×4×100×0,5 = 30 .
2. R =80 . , , B = 12,5 .
, I (1) (2):
|
|
.
1 2 ,
,
.
:
.
3. I0 =5 . 8 . , n = 1,5 . .
,
. . , , , dS = a×dr, (. ). ( )
d m = BdScos 0 = B××dr = m 0I0 adr/(2pr).
.
:
m = 4p×107×5×0,08×(ln 2)/2p = 5,545×108 .
4. =1,4 . l 1=40 , l 2=1 , D =5 . , , S =1 2? b , , j =3 / 2?
, : 1=2. (.. ). :
,
1 2 - ; l 1 l 2 .
H2 = B2/m0 = B1/m0,
H1l1 + B1l2/m0 = NI. (1)
1 , 1 = (H) (. 1):
= 1,3 , = 800 /.
(1) - :
(NI) = 800×0,4 + 1,3×0,01/(4×3,14×107) = 1,07×104 -.
e :
e = IR = Irl /S = IrpDN / S = IrpDN / S.
:
e = 1,7×108×3,14×0,05×1,07×104/106 = 29 .
N N1 .
N1 = l1/d,
l 1 ; d : d = ,
N1 = l 1/ = 0.4 / = 354 .
(I=jS), N
|
|
N = (NI)/(jS) = 1,07×10 4 / (3×106×106) = 3567 .
k = N/N1 = 3567/354 10.
b = d×k = k× = 10× = 11,3×10 -3 11 .
5. I =1 I0 =5 . 10 . , , , n = 1,5 . :
1) , ;
2) , 180, .
1. I0 B0=m0Io/2pr, . , , - FA=IB0lsin a.
( ), l = a, a =90 (sin a =1),
.
, . , :
F1 = Im0I0a /2pa = m0I0I /2p.
F3 = Im0Ia /2p2a = m0I0I /4p.
F1 F3, F1,
F = F1 F3 = m0I0I /2p m0I0I /4p = m0I0I /4p.
F = 4p×107×1×5/4p = 5×107 = 0,5 .
2. , I 180,
= IDm = I(2m 1m),
1m 2m - . I0 , dS=adr, :
dm = B0dS cos a,
.
.
a1 = 0, a2 = 180, (cosa1 = 1, cosa2 = 1),
Dm = 2m 1m = m0aI0 (ln 2)/2p m0aI0 (ln 2)/2p = m0aI0 (ln 2)/p.
= IDm = m0aI0I (ln 2)/p.
:
= 4p×0,1×1×5×0,69×107/p 1,4×107 = 0,14 .
6. l = 1,2 , =0,25 , n =120 /. =103 . U, .
,
. (1)
dm=BdScosa, , (1), ( , )
. (2)
cosa =1, (2)
, (3)
dj = wdt = (2pn)dt. (4)
(4) (3), :
.
U = 103×2p×2 (1,22 + 2×1,2×0,25)/2 = 0,0128 = 12,8 .
7. l =10 =1 . , . R =0,4 . , u=20 /?
. .
e = d/dt, (1)
d = BdS = Bludt. (2)
|
|
(2) (1), :
e = Blu.
I = e / R = (Blv)/R.
,
P = I2R = B2l2u2/R.
, , , , . :
P = B2l2u2/R = 1×0,01×400/0,4 = 10 .
8. , . 0,2 , - 0,8 . 600 . , 0,3 , , 0,001 .
.
I2 = e2/R2. (1)
e2 L12 I1
e 2 = L12dI1/dt = L12DI1/Dt = L12(I1 I01)/Dt. (2)
, ,
L12 = mm0n1n2lS. (3)
L1 = mm0n12lS, (4)
L2 = mm0n22lS, (5)
, (3), (4), (5),
L12 = . (6)
(6) (2), - (1), :
I2 = (L12I 01)/R2 = (I01 )/R2Dt.
I2 = = 0,2 .
9. 1000 . 0,1 , - 0,2 . 100. 1 À. .
.
1. , :
,
L - , I - , .
, ,
Y = LI, Y = Nm,
m - S .
,
r - dS, . , h = (r 2 - r 1), - dr.
.
L = = mm0N 2 (r2 - r1) ln .
,
.
Wm = 100×4p×107×106×103×1×ln2 /(4p) = 6,9 .
2. Wm wm :
Wm = ,
w m = mm0 2/2.
= NI/l = NI/2pr.
dV r, h=(r2 - r1) dr ( ). dV=(r2 r1)2prdr Wm.
W m = mm 0N 2 I 2(r 2 - r 1)ln .
:
W = 6,9 .
, .
: m , , , , m = () (. 1)
m = /m 0.
.
I =50 a =2p/3. . d =5 .
: =34,6 .
2. , l =1 , l 2. , N =1300 ,
|
|
I =2 A, 2 1 . l 2.
: l 2 = 3 .
3. a -, =500 , , . =0,1 . F, a -, R , a -, a -.
: F =5×1015 , R =3,2 , =1,3 .
4. =10 , I =200 , ( =0,2 ). , , , j =2p/3 .
: =I·2(1-cosj)= 0,6 .
5. n =10 / =0,01 . , , a =30 . , l = 0,1 .
: .
6. =1,00 , l =10,0 b =0,10 ( ). L. 1. .
: .
7. . DI/Dt =5 /, ei =0,1 . .
: L = = 20 .
8. 1 =200 / 2 =800 /. , .
: .
4
401. I1=I2=I =10 . d =0,3 . , r1 =0,15 r2 =0,2 .
402. , , , =4 . l= 20 , I =10 .
403. =15 , I =5 .
404. , , d =16 , j =30, I =5 .
405. I =20 , . , 10 .
406. . =10 , I1=20 I2 =30 . , I1 I2 1, 2, 3. 1 =2 , 2 =4 , 3 =3 .
407. . 1 2, I1 =2 , I2 =3 . 1 =2 =1 , 1 =2 =2 .
408. I =50 R =10 . ( ).
409. , =20 , I =100 . . , , .
410. , l =1 , l 2=3 . , N =1300 , , 2 1 . .
411. , , . 25,1 . , . .
412. l =25,1 D =2 . N =200 . m, I =5 .
|
|
413. ( d1 = 60 , - d2 =40 ), N =200 , 0,16 . , .
414. I =10 . , , , r =10 .
415. S =5 2. I =1 m =250 . n , 1 .
416. . d =51 l0 =2 . . , , , n =3 ? . m 800.
417. d =0,8 . . , H B I =1A.
418. D =11,4 N =200 , I1 =15A. I2 , , b =1 ? m .
419. N , S =1 2. l =25 , D =5 . H B I =2 A, R =0,2 . r =1710-9 .
420. N =200 (m =200) H =10 A/. S =10 2. : 1) ; 2) .
421. , R =10 , I =10 . , , , , d 1.
422. , d =20 , , . I =10 A. , ? B 20 .
423. l =20 . M1 M2, , =0,1 . I =2 A. a =45 .
424. , U =0,5 , r =1 . , , I =10 .
425. =0,2 . v , R =3 , h =9 .
426. m1 =6,5×1026 m2 =6,8×1026 , U =0,5 , =0,5 . , , .
427. , , =0,5 . L, , R =0,2 .
428. u=107 /. l =5 . =10 /. , . =10 . R h .
429. U =104 ( =10 /) ( =0,1 ) . , , , .
430. =1,2 . 30 . R =40 . : 1) ; 2) .
431. , , d. 2 d, =138 . .
432. l =20 I =10 =0,2 . , , 180 , .
433. =0,2 l =20 I =10 . a =30. .
434. r =5 I =1 , . =10 /. , , 90 , .
435. =0,5 l =10 . I =2 . u=20 / . t =10 , .
436. =1 100 r =10 , b =60. I =10 . , , .
437. , a =20 , I =20 , . b =20 (B =0,1). , , .
438. d1 =10 . I1 =20 I2 =30 . Al ( ), d2 =20 ?
439. , r =10 , I =100 . =0,1 , 1 . , , , . . .
440. =0,01 l =8 , . I =2 . S, =80 . S.
441. , B=a+bt2, b =10-2 /2, a =20 , . t =5 c.
442. a =10 , 100 . H =7,96105 /. , , , , R =10 . ?
443. 1 , . , 5105 . 1 ?
444. , 0,1 , , 200 . . 0,2 , 4 2. .
445. , 0,8 , 15 /. 150 2. 30 . .
446. 950 /. , , 39,8 / 12,5 .
447. 1 , 1000 . 150 2. 10 /. , 30. .
448. 4 0,01 5000 /. 30 . , ?
449. R =10 . q , ? r =1 . =50 .
450. , 50 . . 2 2, . 2×103 , 2×10-8 /. , 50 . ?
451. , 0,05 , , 200 . 40 , 12 2. , 60o . ?
452. , 1 , 20 . , . 0,1 . , , 2,5 / .
453. , 10 , . 2 , 1 . , 6 ?
454. 20 2 . 200 , 1 2. . . 2 ?
455. S =100 2 N =1000 r1 =12 . r2 =20 . (B =0,1 ), n =2 /. ? , , .
456. 1 2 , B=B0sinwt, B0 =0,01 , w=2p/T T =0,02 c. 25 2. . , .
457. 50 . 400 ./. , 2 , , 1,6 .
458. . 0,2 , 5 . 1 . , , .
459. m =1 . (B =0,1 ) , . q, , , , .
460. N , 1 2. 25 0,2 . . 1,7×108 ×.
461. , 21 10 2, , 50 . , 103 . , 200 , 5 . , ?
462. 144 5 . 2000 2 . . , 0,002 ?
463. N1 =251 . 8 , 2 . N2, 100 . 0,001 3 . .
464. 20 30 2 . 320 3 . , 0,001 ?
465. , 0,005 . I=I0 sin wt, I0 =10 , w=2p/T, T =0,02 . .
466. a b. , a l.
467. a b (a<<b). .
468. n S N . L12 . , , m.
469. . I =10 . . R =5 . L12 , I q =10 8 ?
470. L12 . a. r1, r2. N. m.
471. R, , w. , l, m =1.
472. ( ) w =0,2 /3. , ?
473. N =1000 . I =1 , m =0,01 . .
474. 10 . . 1 /3.
475. l =50 S =2 2 , 20 . W , I =0,5 .
476. N =200 . , I =2,5 0,5 ?
477. I =0,6 . d =0,4 . , S =4 2, D =30 .
478. B1 =0,5 B2 =1 . , .
479. L =2 R0 =1 e =3 . R =2 . , . , R . .
480. , , N =1000 . a =0,2 , b =0,25 . , , I =1,26 . , H .
4
1. , . . : 3 . .2. . . : . /.. . 3- ., . ., 1987. 496 .
2. , . . : . .. /.. . 4 - ., . .: . , 1997. 542 .
3. : : 2 . / . . . . 2- ., . .: , 2001. . 1. 576 .
3. , . ., . . : . / . . , . . . 1989. 608 .
4. , . ., / .. , .. . 2- ., . .: , 1985. 512 .
5. , . . /.. , .. . 5- ., . . ., 1988. 526 .
6. , . . : [ ] /.. . 11- . . .: , 1985. 381 .
7. , . . . : . / .. . .: . , 1986. 255 .
1
2
( 0 0), ּ
0,025 | |||
0,039 | 0,94 | ||
0,087 | 0,22 | ||
0,017 | 0,10 |
......... 3
...... 3
1. ..... 5
1.1. . .
. ..... 5
1.2. ...... 7
1.3. .
.... 8
1.4. .
... 9
1.5.
...... 10
1.6. .
.
...... 12
1.7. .. 13
1.8.
..... 14
1.9. .
...... 14
1.10. . ..... 15
1.11. .
. 16
1.12. . . 16
1.13. . ... 18
1.14. ....... 19
...... 20
...... 28
3...... 30
2. ......... 38
2.1. . . 38
2.2. . .
... 40
2.3. .
..... 41
2.4. ( ) .
..... 42
2.5. . 43
2.6.
....... 44
2.7. .
...... 45