In the circuit shown below,
(a) Write a node equation at node 1 by summing the currents away from node 1.
(b) Write a node equation at node 2 by summing the currents away from node 2.
(c) Solve the equations to find V1 and V2.
(d) Find the current through R1 (including direction) and power dissipated on R1.
Vs=16;Is=5e-3;
R1=3000;R2=4000;R3=5000;R4=3000;R5=1500;
syms V1 V2
[V1,V2]=solve(-Is+(V1-V2)/R1+V1/R4+(V1-Vs)/R2,...
(V2-V1)/R1+(V2-Vs)/R3+V2/R5)
V1=vpa(V1,7)
V2=vpa(V2,7)
IR1=(V1-V2)/R1
PR1=IR1^2*R1
Answers:
V1 =
12
V2 =
6
V1 =
12.0
V2 =
6.0
IR1 =
0.002
PR1 =
0.012
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