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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)

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.

.

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 -1) = 0,49 1,761 (1,76-1) = 0,66 ;

R2 = R2-R = R λ m-1 -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):

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 (ωc0 =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^; .

. , , . : (^ = ^; = 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). , .

^ 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





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