1. ij .
2. .
3. . .
4. .
5. .
6. .
. . [1] . 273-283 . 15.4 . 71-92
1. .
. :
) ='+j"; =-'+j''';
) == ||(s α jsin α)
) = || jα
- ; ||
; - ; α - , .
³ α , tg α = A/A.
- , 6+j8 6-j8, 20(s 37+jsin37) 20(s37-jsin37);
10+j 30 10-j 30.
j - π/2 .
:
=(6+j8)+(4+j3)=(6+4)+ j(8+3)=10+11j; =(6-j8)-(4-j3)=(6-4)+j(-8+3)=2-j5
, .
1=12-j16; 2=4+j3; :
=(12-j1)(4+j3)=48-j64+j36+48=96-j28
A=(12-j16)/(4-j)= (12-j16)*(4-j)/(4+j3)* (4-j3)= (48-j64-j36+j2 48)/(42+32)=-j100/25=-j4
1=20-j53; 2=5ej37
=20j53* 5j37 =20 *5j(-53+37)=100e-j16
=20-53/5j37 =(20/5) -j(-53+37)=4e-j 90
1)
=5j37; ^=||jarctgα
2) A=10e-j37
2. , . ( - α), .
, .
, , (), (U). .
u=Umsin (ωt+ψ), U= Um/ , ψ. , , - :
=Ujψ U = Umsin (ωt-ψ), = U-jψ
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U= Umsin ωt, =Uj0 =U
, =Ujψ=U(sφ+jsinφ)=Usψ+jUsinψ, Usψ =U, Usinψ=Up, =U+ jUp
- , - . , - .
, , , - , - .
, .
rL - : u = Umsin ωt; = Imsin (ωt-ψ); = Uj0 = U; = -jφ = a-j I
r : u = Umsin ωt; = Imsin (ωt+ψ); = Uj0 = U; = -jφ =a+j I