- #1

Drakkith

Staff Emeritus

Science Advisor

- 21,275

- 5,117

## Homework Statement

Use NVA to solve for ##i##.

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

## Homework Equations

## 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.