(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use NVA to solve for ##i##.

Enter your answer in polar form with the angle in degrees.

2. Relevant equations

3. The attempt at a solution

My nodes are as follows: ##V_1## on the left middle junction, ##V_2## is the junction in the very center, and ##V_3## is the junction on the middle right, just above the capacitor.

I set up ##V_2## and ##V_3## as a supernode and found 3 equations:

##i=\frac{V_1-V_2}{16}##

##16i=V_1-V_2##

##V_2+16i=V_1##

##1). V_2+0V_3+16i=2∠0°##

Supernode:

##-i+\frac{V_2}{16}-\frac{i}{8}+\frac{V_3}{-8j}=0##

##-16i+V_2-2i-\frac{2V_3}{j}=0##

##2.) V_2-\frac{2V_3}{j}-18i=0##

Across the source in the supernode:

##V_3-V_2 = 4∠45°##

##3.) -V_2+V_3+0i=4∠45°##

That's 3 equations and 3 unknowns. Solving for ##i## gives me ##0.486∠-20.45°##, which isn't correct.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: NVA With Complex Numbers

Have something to add?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**