4. Расчёт тока через сопротивление r1 методом эквивалентного генератора:

В расчёте R_вэ определим как пассивное сопротивление цепи относительно зажима ав.

U_xx-I₄ R₄-I₅ R₅=0

U_xx=Eэ=I₄ R₄+I₅ R₅

I_k1=I₄ I_k2=I₅

I_k1 (R₁+R₄+R₆)-I_k2 R₆ =E₁

I_k2 (R₂+R₅+R₆)- I_k1 R₆ =E₂

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Eureka: The Solver, Version 1.0

Tuesday February 28, 2012, 11:37 pm.

Name of input file: C:\DATA\4444.EKA

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E1=12:E2=8:R1=20:R2=40:R3=29:R4=8

R5=16:R6=5

I1-I2+I6=0

I5-I4-I6=0

I4-I1=0

E1=R1*I1+R4*I4-R6*I6

E2=R6*I6+R2*I2+R5*I5

Ee=-R4*I4-R5*I5

Ee=Uxx

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Solution:

Variables Values

E1 = 12.000000

E2 = 8.0000000

Ee = -5.7142857

I1 = .38832998

I2 = .16297787

I3 = 1.0885346

I4 = .38832998

I5 = .16297787

I6 = -.22535211

R1 = 20.000000

R2 = 40.000000

R3 = 29.000000

R4 = 8.0000000

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Eureka: The Solver, Version 1.0 Page 2

Tuesday February 28, 2012, 11:37 pm.

Name of input file: C:\DATA\4444.EKA

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R5 = 16.000000

R6 = 5.0000000

Uxx = -5.7142857

Maximum error is 9.7351849e-12

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Для определения R используем преобразование из «звезды» в «треугольник»:

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Eureka: The Solver, Version 1.0

Wednesday February 29, 2012, 11:04 pm.

Name of input file: C:\DATA\5555.EKA

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E1=12:E2=8:R1=20:R2=40:R3=29:R4=8

R5=16:R6=5

R31=R4+R6+R4*R6/R5

R12=R6+R5+R6*R5/R4

R32=R4+R5+R4*R5/R6

R131=R1*R31/(R31+R1)

R212=R2*R12/(R12+R2)

R123=R131+R212

RE=R123*R32/(R32+R123)

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Solution:

Variables Values

E1 = 12.000000

E2 = 8.0000000

R1 = 20.000000

R12 = 31.000000

R123 = 26.197183

R131 = 8.7323944

R2 = 40.000000

R212 = 17.464789

R3 = 29.000000

R31 = 15.500000

R32 = 49.600000

R4 = 8.0000000

R5 = 16.000000

R6 = 5.0000000

RE = 17.142857

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Eureka: The Solver, Version 1.0 Page 2

Wednesday February 29, 2012, 11:04 pm.

Name of input file: C:\DATA\5555.EKA

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