- #1
zealeth
- 25
- 0
Homework Statement
Use the node-voltage method to find i_0 in the figure (Figure 1) if v = 29.0V.
Homework Equations
G = 1/R
[itex]\sum[/itex]G connected to node 1 * v_1 - [itex]\sum[/itex]G between node 1 and 2 * v_2 = Current source into node 1
[itex]\sum[/itex]G connected to node 2 * v_2 - [itex]\sum[/itex]G between node 1 and 2 * v_1 = Current source into node 2
The Attempt at a Solution
Labels: Top node = 1, left node = 2, right node = 3, bottom node = 4
v_1 = 29, v_4 = 0
Node 1:
0 = 29*(1/2000+1/5000) - v_2*(1/2000) - v_3*(1/5000) - 0
Node 2:
-i_0 = -29*(1/2000) + v_2*(1/2000+1/5000+1/30000) - v_3*(1/5000) - 0
Node 3:
i_0 = -29*(1/5000) - v_2*(1/5000) + v_3*(1/5000+1/5000+1/1000) - 0
Node 4:
0 = 0 - v_2*(1/30000) - v_3*(1/1000) + 0
Solving, I get i_0 = -0.0160 which isn't right. Thoughts?