Hello. This one is so simple but Im having trouble using nodal analysis. Superposition would be easier but my prof wants me to use nodal.

Find the voltage at A. The answer is 5.7V ~, but I don't know how to get there.

Here are my equations I got that are wrong:

I3 = I1-I2

VA/1kΩ = ((15-VA)/1.197KΩ) - (VA/3.29kΩ)

and

I6 = I4-I5

VA/3.29kΩ = ((5V-VA)/1.197kΩ) - (VA/1kΩ)


Thankyou.

 

You only have one unknown, so you only need one equation.

The idea of the nodal method is to use Kirchoff's current law. The sum of the currents entering and leaving node A must be zero.

So, write an equation summing the currents in the 4 resistors to zero:

V/3290 + V/1000 + (V - 15)/1197 + (V - 5)/2212 = 0

Solve for V.

 

ah. that makes sense. So far previously ive only done problems with 2 unknowns so this one got me confused. Thanks.