(2)
, ():
(4)
R =45 .
2. ,
R (2) ,
, n =4,20 × 107 c-1 .
13. , u =2 /, =30 a=30 . R h , .
. , , , , v :
F=QuB sin a, (1)
Q .
, , (1)
F= |e| uB sin a.
, . , (1), . , , , . 13
. , , , , , , u 1 (. 13); u ||:
u || = u sin a, u || = u cos a.
.
, , . F . , F=man, F= | e | u 1 B an=u 2 ^ R,.
| e | u ^ B = mu22/R,
u z :
, u, e, a ,
R =0,19 .
, u x , , ,
h = u || T (2)
T=2pR/u ^ . (2),
p, R a , h =2,06 .
14. =0,03 r=10. u .
. (. 1 2).
(1)
:
=u= | | r. (2)
, :
(3)
= | e | Br. ,
|
|
(4) || r( 0 ). :
|| r / (m 0c) = 1,76.
|| r( 0 ) (4),
b = 0,871, u = b= 2,61-108 /.
, , .
15. - U =104 (E =10 /) (B =0,1 ) . - , , , .
. Q - m, :
QU = mu 2/2,
Q/m=u2/(2U). (1)
u - . :
) F =Q[ v ], v ;
) FK =Q E, (Q >0).
. z (. 14), v , F F k , .
- , F + Fk .
. 14
( , v sin (v Ù B)=l):
QEQuB = O,
u =E/B.
(1),
Q/m=E2(2UB2).
, (/):
:
16. , I =50 , , l =65 , . , ?
. S
. 15
. n=. , ,
,
x , .
, ,
d=B(x)dS.
l, dx dS=ldx (. 15). , ( ) .
d=
x 1 =a 2=2,
|p2p.
,
, (): [m0] [ I ] [ l ]= / ×1 ×1 =1 . (1), =4,5 .
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17. , , N =200 , I =5 . d 1 30 , d 2 = 20 .
. :
, . , 2 p r, r , , ,
(1)
, , , :
(2)
(1) (2),
(3)
, , , . . (3) 2prH=-NI,
(4)
r=1/2(R1R2)=1/4(d1+d2). r (4),
(5)
0 B 0 = m0 H. ,
(6)
(5) (6), :
H =1,37 /, B 0=1,6 .
18. , I =20 , =16 . d 10 . , a=p/2 , ?
.
.
1 2 , .
, . .
(1)
( ), , , . . 17 pm (. 17, ) 1 (a=0, cos a=1), . . 1 =S ( S ).
(. 17, ) pm B (a=p/2, cos a=0) 2=0. (1) :
S=pd2/4.
, ():
:
19. B =0,1 , N= 1000 , n= 1 c -1. S 150 2. , 30.
. , :
(1)
Y= N, N , . Y (1),
(2)
, t, =S cosw t, ; S ; w . (2) , :
(3)
w=2p . (3) w t a,
(4)
, (). , 2 p, N sin w t ,
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|
(4),
. 20. I =2 . , , 4 . L , N=800 .
. L Y Y= LI, L=Y/I. Y N (Y= N),
(1)
(1),
L == 1,6 .
21. D I /D t , 50 /, 0,08 . L .
. *
L ,
( ) ,
,
L =1,6 .
22. d=0,2 . D 5 . I= 1 . Q, , . .
. , 1- . dQ, d t I,
(1)
, t, .
I 0 ¥ ( t¥I0),
, :
(2)
2- . (1) I , R , . .
Y : =- dY /d t,
,
(3)
Y . , Y1= LI 0; Y2=0, Y2 , . Y1 Y2 (3), Q=Y1/ R,
(2). , , L R ,
m0 ; N ; l 1 ; S 1 ; r ; l ; S ; d ; d 1 .
L R (2),
, l d 1 l=pd 1 N, N , (4)
l 1 /N , . ,
(5),
Q =363 .
23. l =50 , 20 . W , I 0,5 . S 2 2.
. L, I,
|
|
. (1)
V : L=μ0n2V, μ0 . L (1), . , V=lS,
. (2)
(2),
W= 126 .
24. I =2. ω , 7 -1.
.
. (1)
H=nl. ( =7 -1=700 -1) I,
H =1400 /.
(. 18) . , H =1400 / B =1,2 .
(1), :
ω =840 /3.
25. l =20 (d< l) N =200 . μ I =0,4 .
. μ
B= μ0μH. (1)
, μ . () (. . 24.1). (1) :
μ =B/(μ0H).
( ) =1, , 1 . N l,
H=(N/l)I.
N, l I ,
H=400 /.
, =400 / B =1,05 . , μ0 (2), :
μ =2,09 ∙103.
26. , S =100 2 L =l , λ=10 . d .
. =ε0εS/d, ε , ,
d=ε0εS/C (1)
, : ,
. (2)
, λ, . λ =
= λ /.
(2), (1),
.
, d =3,14 .
27. L= 1,2 C1 =12 2 =80 . , . .
. λ , ,
λ =. (1)
, , L ( ) . ,
. (2)
, , C1 C2. λ1 λ2,, , . (2) :
λ1 =226; λ2 =585 .
4
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