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(1)

(1)

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(2)

, R xL = ω L xC = 1/(ωC). (2), - L, C ω , .

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(3)

, (3) , , ..

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Z , . Z R (. 1 )). Z Z = Z = Zmin = R , φ = 0 , .. .

, . 2. XC -> ∞, xL -> 0 , φ -> -90 (. 1 )). - xL -> ∞, xC -> 0 , φ -> 90 . xL xC ω0 .

. , , .. u = const, i=Imsinω t.

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ρ/R = Q, , D=1/Q - . , . . .

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i =I/I0, u k=Uk/U, v = ω /ω 0 - , , I0, U ω 0 .

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(7) (8) , . Q=2 . 3 () () .

. 3 A(v), B(v) C(v) , . A(v)=uL(v) B(v)=uC(v) ,

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(10)

Q -> ∞, Amax = Bmax -> Q, v 1 1.0 v 2 1.0.

u L(v ) u (v ) , Q2 < 1/2 , .

1,0. , , . 4. , .

. 5 . 4 . , .

, , img/image207.gif, D=1/Q =v 2- v 1.

. (1) φ

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(11)

, φ . . 6 .

- 90 , +90 , . φ (v ) .

, , .. . (5) , . UR = RI = const. ,

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(12)

(12) Q= ρ/R .

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(13)

uL(v ) u(v ) , u(v ) u =1.0 , uL(v ) - u(v ) = 0. , . .

u L(v )=A(v ), u (v )=B(v ) u(v )=(v ) Q=2 . 7 () () .

u (v )=(v ) , v 1 v 2 , img/image206.gif, D=1/Q=v 2- v 1.

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R, L C (. 8)). .

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Y , G=1/R , (. 8 )). , , . φ 90 ω -> 0 - 90 ω -> ∞.

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img/image212.gif- . (17), , R. Q = γ/G , D=1/Q - . , . . .

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, U0 = I/G . - I=U0G. (16) (18), , .

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(18)

(18) (7) (8) , . , . 3 (18) : A(v)=i (v); B(v)=i L(v) C(v)=i R(v)=u (v ). i , i L i R .

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.. , .

, . - I0=U/R=UG. (16) , .

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(19)

i , ,

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(20)

(19) (20) (12) (13) . , . 7 - i C(v )=A(v ), i L(v )=B(v ) i R(v )= i (v )=C(v ).

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Y1=G1+jB1; Y2=G2+jB1 ,

Y = Y1 + Y2= G1+G2+j(B1+B2) .

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(23) ,

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ω -

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(21) , R1 R2 , ρ. , .

R1 = R2, ω = ω0, .. , (. 8 )).

, R1 = R2 = ρ. (21) (0/0) .

. 90 .. , (. 11 )). , , - . I I1 I2 , U.

, . 11 ), R = R1 = R2 = ρ (. 11 )), .. , I1 I2 U/R. abcd , φ 1 + φ 2 = π/2 . , φ 1 φ 2 90 , . , I1 I2 , , U/R. , , ρ

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