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. =3,4

R = 50 L = 29,8

U = 200 ƒ = 250 .

, , , : XL > XC (ƒ > ƒP), XL< XC (ƒ < ƒP), XL = XC (ƒ = ƒP).

 

: R = 50 L = 29,8 =3,4 U = 200 ƒ = 250

: XL, XC, Z, I, P, QL, QC, Q.

: ,

 

XL > XC; ƒ > ƒP, ƒ = 600

  1. :

XL = 2πƒL =6,28 ∙ 600 ∙ 29,8∙10-3 =112,3

X = 1/ 2πƒC = 1 / 6,28 ∙ 600 ∙ 3,4∙10-6 = 78

2. : I = U / Z = 200 / 60,5 = 3,3 A.

3. :

cos φ = R / Z = 50 / 60,5 = 0,8264; sin φ = XL − XC / Z = 112,3 78 / 60,5 = 0,566

4. :

= U I cos φ = 200∙3,3∙0,8264 = 545,4

5. :

QL = I2 XL =3,32∙112,3 =1222,95 ; Q = I2 X =3,32 ∙ 78 =849,42

6. :

Q = QL - Q = 1222,95 849,42 = 373,5 Q = U I sin φ = 200∙3,3∙0,566 = 373,5

7. : S = UI = 200 ∙ 3,3 = 660 BA

 

X > XL; ƒ < ƒP, ƒ = 250

  1. :

XL = 2πƒL =6,28 ∙ 250 ∙ 29,8∙10-3 = 46,8

X = 1/ 2πƒC = 1 / 6,28 ∙ 250 ∙ 3,4∙10-6 = 187

2. : I = U / Z = 200 / 149 = 1,34 A.

3. :

cos φ = R / Z = 50 / 149 = 0,335; sin φ = XL − XC / Z = 46,8 187 / 149 = − 0,94

4. :

= U I cos φ = 200∙1,34 ∙0,335 = 90

5. :

QL = I2 XL =1,342∙46,8 = 84 ; Q = I2 X =1,342 ∙ 187 = 336

6. :

Q = QL - Q = 84 336 = − 252 Q = U I sin φ = 200∙3,3∙0,566 = 373,5

7. : S = UI = 200 ∙ 1,34 = 268 BA

 

XL = XC; ƒ = ƒP, ƒ = 500

  1. :

XL = 2πƒL =6,28 ∙ 500 ∙ 29,8∙10-3 = 93,6

X = 1/ 2πƒC = 1 / 6,28 ∙ 500 ∙ 3,4∙10-6 = 93,6

, .. Z = R = 50

2. : I = U / Z = 200 / 50 = 4 A.

3. :

cos φ = R / Z = 50 / 50 = 1; sin φ = XL − XC / Z = 93,6 93,6 / 50 = 0

4. :

= U I cos φ = 200∙ 4 ∙ 1 = 800

5. :

QL = I2 XL =42∙93,6 = 1497,6 ; Q = I2 X =42 ∙ 93,6 = 1497,6

6. :

Q = QL - Q = 1497,6 1497,6 = 0 Q = U I sin φ = 200∙4∙0 = 0

7. : S = P = 800

 

4.

1

: R =11 ; L =9,55 ; =200 ; f =100 ; UC =15 .

: U; I; P; Q. .

 

2

: u = 141 sin 628 t; R =3 ; L =0,0191 ; =200 .

: I; Ua; UL; UC; P; Q; S. .

 

 

3

 

: u = 564 sin ωt; R 1=8 ; R 2=8 ; L =0,0383 ; f =50 .

: I; S; P; Q. .

 

4

: u = 169 sin 628 t; R =12 ; L =9,55 ; =265 .

: I; Z; UL; P; Q. .

 

5

: u = 294 sin 314 t; R =5 ; L =19,1 ; =159 .

: UL; ; Q; S. .

 

 

6

 

: u = 113 sin 628 t; R =2 ; L =9,6 ; =266 .

: I; P; Q; S. .

 

 

7

 

: R =3 ; L =19,1 ; =530 ; f =50 ; U =20 .

: U; P; Q; S. .

 

8

 

: u = 564 sin 628 t; R =12 ; L =19,1 ; =531 .

: I; P; Q; S. .

 

 

9

: R =15 ; L =6 ; =400 ; f =100 ; UC =20 .

: U; I; P; Q. .

10

: u = 180 sin 628 t; R =16 ; L =12 ; =260 .

: I; Z; UL; P; Q. .

: .

5. ר

.

 

 

, , , = 2,410─3 .

1512(42), -2. . I

, μ1

μ1, W1.

 

: W1 = 600 W2 = 200 = 2,410─3 ., 1512(42), -2.

: I, μ1, μ1

1.

1, ℓ2, ℓ3, ℓ4(.. ).

2. :

S1 = S2 = 46 = 24 2 =2410─4 2 S3 = S4 = 56 = 30 2 3010─4 2

3. :

1 = ℓ2 =20 = 0,2 ℓ3 = ℓ4 = 16+ 22 + 2,52 = 25 = 0,25 .

4. :

1 = 2 = 0 = /S1 = 2,410─3/2410─4 = 1

3= 4 = /S3 = 2,410─3/3010─4 = 0,8

5.

:

1 = 2 = 185 / 3 = 4 = 682 /;

: 0 =0,8106 0 = 0,81061 = 0,8106 /.

6. ,

:

I ω1 ─ I ω2 = 11 + 22 + 33 + 44 + 00

I(ω1─ ω2) = 11 + 22 + 33 + 44 + 00

400 I = (1850,2)2 + (6820,25)2 +0,81060,0210─2

I = (1850,2)2 + (6820,25)2 +0,81060,0210─2 / 400 =1,436 A

7. :

1 = μ1 1 μ1 = 1 / 1 = 1 / 185 = 0,0054 /

8. :

μ1 = μ1μ0 μ1 = μ10 = 0,0054 / 4π10─7 = 0,0054 / 12510─8 = 4300

 

5.

I , μ 1 μ 1 , W 1.

1

 

 

: W 1 = 500; W 2 = 300; = 1,0103 ; .

. .

2

: W 1 = 100; = 3103 ;

(1211). .

3

: W 1 = 1200; W 2 = 600; =1,610;

. .

.

4

: W 1 = 2000; = 2,8103 ;

(.2). .

 

5

: W 1 = 400; = 4103 ;

. .

 

6

: W 1 = 600; W 2 = 200; = 1,6103 ; (.2). . .


7

: W 1 = 400; W 2 = 600; = 1,8103 ;

(11) 1211. . .

8

: W = 1000; = 0,6103 ; . .

9

: W 1 = 600; = 8103 ;

. .

10

: W 1 = 200; = 6103 ;

(1211). .

: .

6. .

1. . - . .

2. . . .

3. , , . .

4. . .

5. . .

6. . .

7. . .

8. . .

9. . .

10. .

 





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