1.1
1. I= / (U );
2. R = U/I;
3. R =0.5 R(1- );
4. U = U- E= IR;
5. E= = U - IR= U - U ;
6. = n /30; [/]= n [/]/30[/];
7. =/ ;
8. .=/ ;
9. = (1- )/ ;
10. 0=U / = U /;
11. () = / ;
12. = I;
13. *= / 0 ;
14. = / 0=( 0- )/ 0;
15.
=(*0-* )/( *0- *); *0=0;*=1; *0=1;
16. = - ;
17. =U / - R/2;
.
18. R.. = U/I - R
19. I =2 I
20.
21. R.. = (-U )/I - R
22. I.. =2 I
23.
R.. = /I - R
24.
R.. = (+U )/I - R
25. I=2 I
1.2. , .
1.1. , () : = 2,5 ; U = 110 ; n = 1000 -1;
η= 72 %, , , .
.
, . 1.1.
1. I= / (U ) = 2500/ (110 0.72)= 31,6;
2. R = U/I=110/31,6 =3,48 .
3.
R =0.5 R(1- )= = 0,5 3,48(1 - 0,72) = 0,487 .
4.
U = U- E= IR=31,6 0,487= 15,4.
5.
E= = U - IR= U - U = 110 - 15,4 = 94,6 .
6.
= n /30; [/]= n [/]/30[/]=0,105.1000=105 /.
7.
=/ = 2.5103 /105=23,8 ͕.
10.
0=U / = U /=110105/94,6=122 /.
, , : .
= 105 / ( = 23,8 -).
(1.2) (. . 3)
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R = 0,487 .
. 11, (1.10) .
0=U / = U /=110105/94,6=122 /.
( 0= 122 /, =0) ( =105 /., =23,8 ͕) 1 . , . . (1; 0) ( / 0==105/122=0,86; / = 1).
i=2.1.
1.4. ,
1.4. , 1.1, :
) , I = 2I;
, 1.1, . I= i I= 2.131.5=66,5 .
I .
.
.
1. a k 1 .
2. pmk, I= 66.5 .
3. (ω0 = 122/; I= 0) p (ω = 0; I=66,5) 3. 3 R1 R1.
4. I2 = (1,1... 1,2)I. I2= 37,7 . jhb, I2 = 37,7 .
5. p 3 h. I I2, 0 ω1.
. 4. () ( )
6. h I2 3 hmω0. ω0 I1 m.
7. m 2, j kjω2 I.
mj 2 ω1 ω2, . I1= I=65.5 k 1 .
8. k 1 , ω2 c, ω.
9. j, h, k, m I1 I2 I2.
, 4, , R1 R2 R1 R2.
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.
R = 3,48 , nf= 63 , mR = R/(nf) = 3,48/63 = 0.055 /.
R1 ne = 30 :
R1 = mR ne=0.055 30 = 1,65 .
R2 nd= 17
R1 = mR nd=0.055 17= 0,935 .
, ne = 13 :
R1 = mR de=0.055 13= 0,715 .
, nd= 8 :
R2 = mR cd = 0,055 8 = 0,44 .
R= mR nc == 0.055 9 = 0,49 .
(1.11):
R=U/I R=110/66.5-0.49=1.16
R == R1 + R2 =0.715 + 0.44 = 1,16 .
, . ω1, (. 4, ):
ω1 =(U/I R)/C =U/C= (I1R2)/C
I2R1 = I1R2
ω 2 I2R2 = I1R I2Rm = I1R.
:
R1 = (I1 / I2) m R = λ m R = 1.762 ·0.49 = 1,52 ;
R2 = λ m-1 R = R1 λ =1,52 /1,76 ==0,86 .
:
R1 = R1 -R2 = R λ m(λ -1) = 0,49 1,761 (1,76-1) = 0,66 ;
R2 = R2-R = R λ m-1(λ -1) = 0,49-1,76(1,76-1) = 0,37 .
, , , .
1.4. , 1.1, :
) :
I =I ω = 1,3ω0,
) , I =I ω = ω,
) I =I ω* = ω / ω = - 0,5, I =I ω / ω;
) , , .
. .
1. (1.11), (1.21):
R. =U/I -R = U/(2·I) - R=110/(2·31.6)- 0.483=1.25 0;
()
R*. = R. /I = 1.25/3.48=0.36.
2. (ω= 1.3·ω0 ) (R..) (1.12), (R*..)
(1.21):
R.. =(·1.3·ω0 U)/I -R = =(0.9·1.3·122 110)/31.6 0.487=0.55
( - R*..):
R*..= R.. /R=0.55/3.48=0,16.
3. (1.13):
R.. =/I -R = 94.6/31.6 -0.487=2.51 .
R*..= R.. /R=2.51/3,48=0,72
4. ( 0.5·ω0) (1.14):
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R..=(U+)/I-R=(U+·0.5·ω0)/I-R = (110+0.9·0.5·122)·/31.6-0.487 =
=(110+94.6)/31.6 -0.487=4.73 .
R*..= R..R= 4,73/3,48 =1,36.
5.
R..=(U+)/I-R=(U+ )/I-R = (110+94.6)·/31.6-0.487 =
=(110+94.6)·/31.6 -0.487=5.99
R*..= R..R= 5.99/3,48 =1.72.
. 5 :
. 5. .
1 a(ω/ω0 =1; /= 0) c (ωc/ω0 =0.86; / =1);
2 , 2- , n; a (ω/ω0 =1; / =0) n (ω = ωn; /=2);
3 , 1- a (ω/ω0 =1; / =0) m (ω =0; /=2); m
4 q (ω/ω0 =1,3; / =-1) a (ω/ω0 =1; / =0);
. 5 '
1 (1; 0) (0,86; 1);
2 , 2- , ;
3 , 1- 0;0)(0; 1);
4 (1,3;-1) (1; 0);
4' 4 , , ;
5 (0,86; -1);
5' , 5 (1; 0) \
6 (0,86; -1) (-1; 0);
6 , 6 (1; 0) /;
7 ( = 7; / = 0) (* = - 0,5; = 1).
5 , /?, .
= 50 ^ = / = 1, ^ = 3,48 .
= 7 ^ = / =0,14 = ^ = 0,14-3,48 = =0.49 .
(. . 5), , 2.
2
, | ||
.. | ||
^=13 ^=0,26 | ^=0,9 | |
<^=6 /?^=.12 | ^2 =0,42 | |
= 25 ^,. = 0.5 | ^= 1,74 | |
^/=12 ^1=0,24 | ^ = 0,84 | |
. =7,5 ^..=0^ | ^.,=0.52 | |
^=85 ^...,-^ | ^,.1 = 5.92 | |
^=^ ^..2=^ | ^,.2=4.87 | |
^=37 ^...=0,74 | ^..,=2,58 |
1.5. , 1.1, : = 0,5/; = 5^ = 0,8^; .
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. , , . : (^ = ^; = 0) (^ = ^ = ). ^
1. = =0,5^
0^1 = 0,5(// ^ = 0,5 110/0,9 = 61 /. :=^ 7= 0,5(7^
^.! = ^! - ^ ^ = 61 - 23'8 87/0.92 = 46,7 /.
1 2 ^=0.5^/
2. 1 3 1- (122; 0), . = ̄ = 5^
^ = ) - ( 5)' ^ = 122 ~ (23,8 5. 0,487)/ 0,92 = 50,4 /.
3. = 0,8
0 = [/ / 0.8ф = 110/0,8 0,9 = 153 /. = ^ = 0,8Ԅ
(/ -, 110 23,8.0,487,,,
""'-^-^-^-^^-130'6 /-
1 4.
4. 1/=0,5(/,=0,8Ԅ
0,5(. 0,5-110,,,
^-^76'41"1^-
= ̄, V = 0,5 /, = 5^, = 0,8Ԅ
^-5^ ^. 23,8 5-0,487 , )4=(4--=76,4-=-35,4 /.
(0,8 ф)2 (0,8.0,9)2
1 5.
1.5. .
1.6. 1.2, = ^.
. (. . 1), (1.36)
/~/,(^^)
^-/.
: ^ = 228;
122; 66,5; 35,3; 22 /.
3, .
. 6 ( 7). ^ = 0,04 ^.
7, = 80 , ( ^). 2? ( <^). , , ^ = = 80 , ^ = ^11^ = 40/80 = 0,5 . 7? ^ ^ ^ = 0. ^^ /
^ = [7/1^ = 40/100 = 0,4 / = 100 , /? = 0,2 / = 200 . . .
. ^ , (-
. 6. :
7 ; 2 ; 3
, ^ = 0,15 ). ^ ( , ^ ^ 7 7^, 7^ . . ( 2). , .
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^ 7 ^ . ( 3) ^, . .
1.7. , 1.2, ^ = ^. = - 0,15 7^ = 7^.
. 1. (. 7).
2. 7^ = 1,677^ =1,67-96 = = 160 7^ = 1,157= 1,15 96 = 110 .
3. , 7, 7^, 7 2.
4. 7? = 0,04 . , 7? = 0,04 , .
5. 7 2 .
6. = 7^ = 40/160 = = 0,25 00, = 7^ = 40/110 = 0,36 .
7. , 0 , .
8. 5, .
^ ^. , ^.
(. . 7) , ( = 0) 7^ = 160 , ^1 = ^ ^ ^1 = 40/160 = 0,25 . ^ 7,. -
. 7.
2? / . ^ ^ . , ^ , 7. , , /^ /. /?^, , /^ = / = 96 = - 0,15 = - 0,15 130,9 = = - 20 /, 7 (^) ( ).
7 |
= - 20 / . ^ = 0,48 .
- = 0,48 - 0,04 = 0,44 .23