- #1
Gwozdzilla
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Homework Statement
Homework Equations
KVL: ΣV = 0
KCL: ΣI = 0
v = iR
The Attempt at a Solution
I started by removing the independent current source to leave an open circuit. Then I attempted nodal analysis at nodes v1, v2, and v3:
KCL @ v1:
(v1 - v2)/10 = v1/40
KCL @ v2:
(v2 - v1)/10 - 4io + (v2 - (-30))/20 = 0
KCL @ v3:
v3 = -30 V
io = (v1 - v2)/10
Plugging equation 4 into euation 2 and simplifying gives...
.1v2 - .1v1 -.4v1 + .4v2 + (v2 - (-30))/20 = 0
.55v2 - .5v1 + 1.5 = 0
Simplifying equation 1:
.1v1 - .1v2 = .025v1
v2 = .75v1
Plugging this in...
.55(.75v1) - .5v1 + 1.5 = 0
...
v1 = 17.1V
v2 = 12.9V
This makes io = .42A which is wrong.
Where did I mess up?