In the circuit shown below, let
Vs=8;Is=0.002;
R1=1000;R2=400;R3=1500;R4=2500;R5=600;
syms I1 I2 I3
[I1,I2,I3]=solve(-Vs+R1*I1+R2*(I1-I2)+R4*(I1-I3),...
R2*(I2-I1)+R3*I2+R5*I3+R4*(I3-I1),...
I3-I2==Is,I1,I2,I3)
V2=R4*(I1-I3)
V1=V2+R2*(I1-I2)
V3=R5*I3
IR4=I1-I3
IR1=I1
IR2=I1-I2
IR3=I2
IR5=I3
SumI=-IR2+Is+IR4
I1=vpa(I1,7)
I2=vpa(I2,7)
I3=vpa(I3,7)
V1=vpa(V1,7)
V2=vpa(V2,7)
V3=vpa(V3,7)
IR4=vpa(IR4,7)
IR1=vpa(IR1,7)
IR2=vpa(IR2,7)
IR3=vpa(IR3,7)
IR5=vpa(IR5,7)
SumI=vpa(SumI,7)
Answers:
I1 =
0.004239856
I2 =
0.001219116
I3 =
0.003219116
V1 =
3.760144
V2 =
2.551849
V3 =
1.93147
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