Experiment: Nodal analysis

In the multiple sources, we should use the nodal analysis to identify the nodes, choose a reference node, and assign node voltages to the rest. Using  KCL analyze the current flow through the node, and KVL will be used to calculate the voltage drop.

In theoretical
$(v$₁-v₂)/R_c1= v₂/R_L1+ (v₂-v₃)/R_c2
$$ (v$$₄-v₃)/R_c3= v₃/R_L2+ (v₃-v₂)/R_c2
put the value R_c1 =100ohm, R_c2 =R_c3=220ohm, R_L1=R_L2=1000ohm
Vb1=12v, Vb2=9V
V2=10.2554V, V3=8.674V
Ib1=0.0774A
Ib2=0.00148A

Component	Nominal Value	Measired Value	Power or current rate
Rc1	100	99.8
Rc2	220	219
Rc3	220	218
RL1	1000	981
RL2	1000	982
Vb1	12	12.17	2A
Vb2	9	9.11	2A

Variable	Theoretical	Measured	percent error
Ib1	17.44mA	18.65mA	6.93%
Ib2	1.482mA	1.58mA	6.61%
V2	10.255V	10.36V	1.02%
V3	8.674V	8.75V	0.88%

step 6
1)actual power
Pb1=0.227W
Pb2=0.0144W

2) if v2=v3=9v, the new Vb1 and Vb2
Vb1=9.9V
Vb2=11.198V

actual voltage and current
V2=8.89V
V3=8.98V
Ib1=8.4mA
Ib2=9.5mA