In the circuit shown below, let
Use nodal analysis to find V1 and V2.
Vs1=5;Vs2=2;R1=4000;R2=2500;R3=1000;R4=2000;
syms V1 V2
[V1,V2]=solve((V1-Vs1)/R2+V1/R3+(V2-Vs1)/R1+V2/R4,...
V2==V1+Vs2,V1,V2)
V1=vpa(V1,7)
V2=vpa(V2,7)
I1=(Vs1-V2)/R1
I2=(Vs1-V1)/R2
I3=V1/R3
I4=V2/R4
IVs2=I2-I3
I4a=I1+IVs2
Answers:
V1 =
0.8139535
V2 =
2.813953
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