Nodal Analysis is for Knowing Nerd Noggins

We (James Dunn and I) used nodal analysis to determine the theoretical voltage between two points and a reference node AKA "ground" and the currents coming from two voltage sources.

Circuit Diagram

I'll get a better picture from James soon.

Our theorectical values for V₂ and V₃ were 10.26V and 8.67V respectively.
We determined that I_{Bat 1} and I_{Bat 2} were 17.4mA and 1.48mA, which would give power supplies of 208.8mW and 13.35mW respectively.



In the last part, for extra fun, we figured out what voltages we would need to load across the circuit to make both V₂ and V₃ equal 9V. We worked out that V_L1 would be 9.9V and V_L2 would be 10.98V. To get these particular load voltages, we would need to use a voltage divider to bring 12V down to these voltages.

We did this with a resistor box of 213Ω in series with V_bat1 and 103Ω in series with V_bat2. We got as close as 9.09V for V₂ and 8.99V for V₃, after fiddling with the resistances a bit. :) Our currents became 9.90mA and 8.61mA for I_bat1 and I_bat2 respectively.