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## Homework Statement

(I have attached a picture of the circuit)

Using node voltage analysis in the circuit, find the current i drawn from the independent voltage source. Let V=3V, R1=1/2, R2=1/2, R3=1/4, R4=1/2, R5=1/4, I=0.5.

## Homework Equations

I=V/R

## The Attempt at a Solution

I haven't seen one like this w/ the independent voltage source, is it solved the same way? I tried to perform KCL at each node and got:

node 1: (V-v1)/R1 + v1/R2 + (v1-v2)/R3 = 0

node 2: (v1-v2)/R3 + (v3-v2)/R4 = I

node 3: (v3-v2)/R4 + v3/R5 = 0

When I substituted for V, I, R1, R2, R3, R4 and R5 and entered in the matrix I got:

v1=-6.375

Then I related i=(V-v1)/R1. I got an answer of 18.75 A. I thought the answer maybe sounded high and was wondering if I had messed up somewhere.