In the circuit shown below, let
Use mesh analysis to find mesh currents I1, I2, and I3. Also, find V1 and V2.
Vs=7;Is=0.002;
R1=1000;R2=1500;R3=5000;R4=500;
syms I1 I2 I3
[I1,I2,I3]=solve(R1*I1+R3*(I1-I3)+R2*(I1-I2),...
R4*I2+R2*(I2-I1)+Vs,I3==-Is,I1,I2,I3)
V1=-R4*I2
V2=V1-R1*I1
IR4=-I2
IR1=-I1
IR2=I1-I2
IR3=I3-I1
SumI=IR1-IR3-Is
I1=vpa(I1,7)
I2=vpa(I2,7)
I3=vpa(I3,7)
V1=vpa(V1,7)
V2=vpa(V2,7)
IR4=vpa(IR4,7)
IR1=vpa(IR1,7)
IR2=vpa(IR2,7)
IR3=vpa(IR3,7)
SumI=vpa(SumI,7)
Answers:
I1 =
-0.002392157
I2 =
-0.005294118
I3 =
-0.002
V1 =
2.647059
V2 =
5.039216
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