Find the current using Nodal Analysis

[Fatima Hasan]

Homework Statement

Find i using Nodal Analysis.

Homework Equations

V = I * R

The Attempt at a Solution

solve (1) , (2) , and (3) to find V₁ , V₂ ,and V₃
V₁ = 50/3 = 16.67 V
V₂ = 80/3 = 26.67 V
V₃ = 40 V
40 - 80/3 = 5i
i = 2.667 A
However , the correct answer is 1.522 A .. I don't know where is my mistake.

 

[cnh1995]

Your first equation should be V₁-V₂=10, since V1 is at a higher potential than V2.
Where does the first term in your first supernode equation come from?
Hint: Once you fix your first two node equations, you can use the ground node for the third equation.

 

[gneill]

Why did you choose to employ two supernodes when it would seem that a single one would suffice?