Node Voltage Analysis: Solving VA & VB

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Determining the voltages VA and VB using node voltage analysis can be challenging, especially with the presence of resistors and voltage sources. The equations provided for VA and VB are (VA - 6)/100 + (VA - 10)/800 = 0 and (VB - 10)/320 + VB/330 = 0, respectively. VC is known to be 10V. Suggestions include simplifying the circuit by combining resistors and considering mesh current analysis as an alternative. The goal is to achieve consistent results with both nodal and mesh analysis methods.
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I am having a hard time trying to determine the voltage at VA and VB. I know that VC = VD = 10V. At first I thought this would be a simple setup, but I'm unsure about how to set up an equation for VA considering that there is a resistor and a voltage source between it and the reference node. I've built this circuit and made measurements with a DMM, I'm just trying to come to the same results using nodal analysis. Can anyone point me in the right direction?
 

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For VA, I have (VA - 6)/100 + (VA - 10)/800 = 0
For VB, I have (VB - 10)/320 + VB/330 = 0
For VC, I have VC = 10
 
You could solve it by using 4 loop currents and then writing the KVL equations for the 4 loops.

Or you could start by simplifying the circuit, for example replace R3 and R5 by a single resistor ...
 
Using mesh current analysis was a breeze, but I am also asked to use node voltage.

As far as your second suggestion, I combined those resistors in the equations above.
 

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