, , . , .
.
1. , . , , : ) ; ) , . :
1603 - 4 ;
1,03 - 3 ;
1,00 - 3 ;
0,00103 - 3 .
2. , , , , .
3. , , . :
9.6 + 0.176 = 9.6 + 0,2 = 9.8
100,8 - 0,427 = 100,8 -0.4 = 100.4
4. , . :
0.637 × 0.023 = 0.0132 0.0132496;
6.32: 3 = 2 2.107.
5. , . :
1.252 = 1.56, 1.5625;
1.013 = 1.03, 1.030301.
6. , . :
101/2 = 3.1, 3.162;
101/3 = 2.1, 2.154.
7. .
8. , .
a, b, c ( 0.1), :
(1a) ×(1b) ×(1c) = 1 a b c;
(1a)1/2 = 1 a/2; (1a)n = 1 n × a;
1/ (1a)n = 1 + n × a;
= 1+a; ln(1a) =a - a2/2;
50 , sin a tg a a; cos a 1.
, .
I = dq/dt
I = e/ (R + r)
- . Q = I2R t
, Q = ò I2(t)Rdt
R = r ℓ /S
i=
i=C
XL=ωL
XC=
|
|
:
P = IU cos φ
Q = IU sin φ
S = IU
P= 3 IU cos φ = IU cos φ
Q= 3 IU sin φ = IU sin φ
S= 3 IU= IU
= 2/π ≈ 0,637
= / ≈ 0,707 ,
, , , ..
1. 1 = 60 2 = 75 , . 1. , R1 = 2 ; R2 = 3 ; R3 = 5 .
. .
. 1
1) .
, 1, . 2, .
R1 = R1 + = 3,875 .
:
I11 = 1/ R1 = 15,5 A; I12 = I11 R3/(R2+ R3) =9,6A; I13 = I11 I12 = 5,9 .
, 2, . 2, . R2 = R2 + = 4,4 . :
I22 = 2/ R2 = 17 ; I23 = I22 = 49; I21 = I22 I23 = 12,1 .
. 2, , , , I1 = I11 + I21 = 27,6 ; I2 = I12 + I22 = 26,6 ; I3 = I13 I23 = 1 .
2) .
, . 2, , :
) ) ) )
. 2
I3 = I1 I2, :
I1 = 27,6 ; I2 = 26,6 . I3 = 1 .
3) .
(. 2, ) :
:
, . . I1 = 27,6 I 11 = 26,6 . I1 = I1 = 27,6 ; I2 = I11 = 26,6 ; I3 = I1 I11 = 1 .
4) .
, Y 1 2, 1 2:
I1 = (E1 U21)/R1 = 27,6 ; I2 = (E2 + U21)/R2 = 26,6 ; I3 = U21/R3 = 1 .
5) .
1, = Ux1 R = R1
Ux1=E1+U12=E1+E2R3/(R2+R3)= 107 B;
R1=R2R3/(R2+R3)= 1,875 .
, 1
I1 = Ux1/(RB1+R1) = 7,6 .
2:
Ux2 = E2 + Ul2 = -2 + E1R3/(R1+R3) = 117,8 ;
RB2= R1R3/(R1+R3) = 1,43 O.
2 I2 = Ux2/(RB2+R2) = 26,6 .
3 I3 = I1 I2 = 1 .
, .
|
|
E1I1+E2I2=
, 3651 = 3651.
2. 24 120 . , 20 .
: R = 24 : U = 120 B
t = 20
: I =? P =? W =? .
.
: I = 5 , P = 600 , W = 200 ∙.
3. , : RA=0,8 , XLA = 1,2 ; R=0,4 , X = - 2 ; R = 1 , XL = 1,8 . , . 380 .
:
RA=0,8 : XLA = 1,2 , R=0,4 : U = U/ =
X = - 2 = 220 ; U = 220 -j120 ; U = 220 j120
R = 1 ( [8, c 70]). XL = 1,8 :
U = 380 ZA = 1,44 e-j41 ; Z = 2 e-j78,7 ; Z = 2 ej61 .
f = 50
I = 153 e-j56 ; I = 110 e-j41 ; I = 110 ej59 .
: I =?; I=?; I0 =?; ,
cos φ =? :
I0 = I+I+I = 85-j 127 +82,6- j 72,6+56,6+ j 92,3 = 224,2- j107,3 = 284 ej25,6 .
, .. cos φA = 0,555; cos φB = 0,196; cos φC = 0,485.
4. R L C U , f . , , , .
:
L = 0,07 = 70*10-3 : 1. - R = 8
= 122 = 122*10-6
U = 120
f = 50
: I =?; UL=?; UC=?;
P=?; Q=?; φ =?