. =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
- :
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
- :
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
- :
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.
ℓ1, ℓ2, ℓ3, ℓ4(.. ).
2. :
S1 = S2 = 46 = 24 2 =2410─4 2 S3 = S4 = 56 = 30 2 3010─4 2
|
|
3. :
ℓ1 = 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 = 1ℓ1 + 2ℓ2 + 3ℓ3 + 4ℓ4 + 0ℓ0
I(ω1─ ω2) = 1ℓ1 + 2ℓ2 + 3ℓ3 + 4ℓ4 + 0ℓ0
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 = μ1 /μ0 = 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. .