有关电路分析实验的题目,求具体过程??步骤清晰,下图为题
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既然 Ir = Ic,那么在数值上,容抗的值等于电阻值。有:
R = 1/(ωC)
z总 = R//zC + zL
= R * zC/(R + zC) + zL
= R * (-j)/(ωC)/[R - j/(ωC)] + jωL
= R * (-jR)/(R - jR) + jωL
= R * (-j)/(1-j) + jωL
= R * (-j) * (1+j)/[(1-j)(1+j)] + jωL
= R * [(-j) - j²]/(1-j²) + jωL
= R * (1 - j)/2 + jωL
= R/2 - j * (R/2) + jωL
= R/2 + j(ωL - R/2)
又因为 U 与 I 同相位,所以:
ωL - R/2 = 0
即 ωL = R/2
z总 = R/2
Ur = U * (R//zC)/z总
= U * [R *(-jR)/(R - jR)]/(R/2)
= U * (-j)R/(1-j)/(R/2)
= 2U * (-j)/(1-j)
= 2U * [(-j)(1+j)]/[(1-j)(1+j)]
= 2U * (-j - j²)/(1-j²)
= 2U * (1-j)/(1+1)
= U * (1-j)
= √2 * U * [√2/2 + j * (-√2/2)]
= √2 * U * [cos(-45°) + j * sin(-45°)]
= 200√2 ∠(-45°) (V)
Ir = Ur/R
= 200√2/R
所以,R = 200√2/Ir = 20√2 Ω
R = 1/(ωC)
z总 = R//zC + zL
= R * zC/(R + zC) + zL
= R * (-j)/(ωC)/[R - j/(ωC)] + jωL
= R * (-jR)/(R - jR) + jωL
= R * (-j)/(1-j) + jωL
= R * (-j) * (1+j)/[(1-j)(1+j)] + jωL
= R * [(-j) - j²]/(1-j²) + jωL
= R * (1 - j)/2 + jωL
= R/2 - j * (R/2) + jωL
= R/2 + j(ωL - R/2)
又因为 U 与 I 同相位,所以:
ωL - R/2 = 0
即 ωL = R/2
z总 = R/2
Ur = U * (R//zC)/z总
= U * [R *(-jR)/(R - jR)]/(R/2)
= U * (-j)R/(1-j)/(R/2)
= 2U * (-j)/(1-j)
= 2U * [(-j)(1+j)]/[(1-j)(1+j)]
= 2U * (-j - j²)/(1-j²)
= 2U * (1-j)/(1+1)
= U * (1-j)
= √2 * U * [√2/2 + j * (-√2/2)]
= √2 * U * [cos(-45°) + j * sin(-45°)]
= 200√2 ∠(-45°) (V)
Ir = Ur/R
= 200√2/R
所以,R = 200√2/Ir = 20√2 Ω
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