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Project: two
Views: 69
%var t
w = var('w', latex_name='\omega');show(w)
ω\displaystyle {{\omega}}
29*10^-3*cos(12).n()
0.0244717648032423 
IL3 = 13.2063-15.0197*I
I3 = IL3
w = 20*10^6
L1 = 20*10^-3; XL1 = I*w*L1
L3 = 60*10^-3; XL3 = I*w*L3
C2 = (1/40)*10^-6; XC2 = 1/(I*w*C2)
R1 = 40;   R2 = 80

U2 = XL3*IL3
I2 = U2/(1/R2 + 1/XC2)
I1 = I2 + IL3
U1 = I1*(R1 + XL1)
U = U1 + U2

Ic2 = UC2/XC2
Ur2 = Ic2*R2
U2 = Ur2 + UC2
I3 = U2/XL3
I2 = Ic2
I1 = I3 + I2

I11 = I1*(1 - R1/XC1)/((1 + R1/XC1)*(1 - R1/XC1))
I12 = I11*R1/XC2

U1 = R1*I11
U = U1 + U2

show('I1=', I1.n(), '\t', 'I2=', I2.n(), 'I3=', (I3).n())
I1= 3.25759552425274×107−3.52328964687943×107i\displaystyle 3.25759552425274 \times 10^{7} - 3.52328964687943 \times 10^{7}i I2= 3.25759420362274×107−3.52328814490943×107i\displaystyle 3.25759420362274 \times 10^{7} - 3.52328814490943 \times 10^{7}i I3= 13.2063000000000−15.0197000000000i\displaystyle 13.2063000000000 - 15.0197000000000i
show('U=', U.n(), 'U1=', U1, 'U2=', U2.n())
U= 1.40944796493674×1013+1.30289886287122×1013i\displaystyle 1.40944796493674 \times 10^{13} + 1.30289886287122 \times 10^{13}i U1= 1.40944616257274×1013+1.30289727811522×1013i\displaystyle 1.40944616257274 \times 10^{13} + 1.30289727811522 \times 10^{13}i U2= 1.80236400000000×107+1.58475600000000×107i\displaystyle 1.80236400000000 \times 10^{7} + 1.58475600000000 \times 10^{7}i
show(abs(U), '||||||', (arg(U)*180/pi).n())
1.91939808605079×1013\displaystyle 1.91939808605079 \times 10^{13} |||||| 42.7504069615022\displaystyle 42.7504069615022
def fui(x):
    show( abs(x), '||||||', (arg(x)*180/pi).n())

fui(I1)
4.79848919301057×107\displaystyle 4.79848919301057 \times 10^{7} |||||| −47.2438616772382\displaystyle -47.2438616772382
fui(I2)
4.79848719364091×107\displaystyle 4.79848719364091 \times 10^{7} |||||| −47.2438610804074\displaystyle -47.2438610804074
fui(I3)
19.9999436944207\displaystyle 19.9999436944207 |||||| −48.6759572645721\displaystyle -48.6759572645721
fui(U1)
1.91939568680121×1013\displaystyle 1.91939568680121 \times 10^{13} |||||| 42.7504087448296\displaystyle 42.7504087448296
fui(U2)
2.39999324333049×107\displaystyle 2.39999324333049 \times 10^{7} |||||| 41.3240427354279\displaystyle 41.3240427354279
fui(U)
1.91939808605079×1013\displaystyle 1.91939808605079 \times 10^{13} |||||| 42.7504069615022\displaystyle 42.7504069615022
arrow((0,0), (U2.real(),U2.imag())) + arrow((0,0), (U.real(),U.imag())) + arrow((U2.real(),U2.imag()), (U1.real() + U2.real(),U1.imag() + U2.imag()))

arrow((0,0), (I2.real(), I2.imag())) + arrow((0,0), (I1.real(),I1.imag())) + arrow((I2.real(),I2.imag()), (I2.real() + I3.real(),I2.imag() + I3.imag()))