1) We calculated theoretical values for the following circuit.
2) We built the circuit and measured the values.
3) We calculated theoretical values for Vbat1 and Vbat 2 if we want to set V2 = V3 = 9 V in two different ways.
First, we treated the circuit as two different circuits (since no current will be flowing between V2 and V3). We determined V2 = 9.9 V and V3 = 10.98 V.
Second, we used the nodal analysis equations from the experiment and plug in 9 V for V2 and V3 solving for Vbat1 and Vbat 2. The results agreed as if we treated the circuit as separate circuits.
We set Vbat1 = 9.9 V and Vbat2 = 11 V and measured values. Here is a table comparing the theoretical and measured values.
Conclusion: The nodal analysis can be used to analyze a circuit quite accurately. We have compared the theoretical and measured values, and the results agreed to each other in an acceptable range. However, when we designed the circuit to have V2 = V3 = 9 V, I have thought and thought about reasons why the measured values were very off, but I still cannot figure it out. I guess the world of electrical engineering is pretty magical.
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