My book states that voltage at v1, v2, and v3 are 3.043V, -6.956V, and 0.6522V respectively.
I want to analyze this circuit by use of superposition. When I use superposition, I create a supernode out of the row where the 10V source as well as the dependent voltage source are at.
After this, I arbitrarily assigned current directions through the 3, 6, and 4 ohm resistors.
From here, I arrived at one equation by use of KCL and then 2 equations by use of KVL in the loop on the bottom left with the 10V source and KVL in the loop on the bottom right with the 5i dependent source.
I then plugged three values into a 3x4 matrix in my calculator from the following equations:
8v1 + 3v2 + 2v3 = 0
-1v1 + 1v2 + 0v3 = -10
-5v1 - 2v2 + 2v3 = 0
Next, I did rref and my calculator showed
v1 = 2.778
v2 = -7.222
v3 = -0.278
I just don't understand where I could be going wrong here....
I want to analyze this circuit by use of superposition. When I use superposition, I create a supernode out of the row where the 10V source as well as the dependent voltage source are at.
After this, I arbitrarily assigned current directions through the 3, 6, and 4 ohm resistors.
From here, I arrived at one equation by use of KCL and then 2 equations by use of KVL in the loop on the bottom left with the 10V source and KVL in the loop on the bottom right with the 5i dependent source.
I then plugged three values into a 3x4 matrix in my calculator from the following equations:
8v1 + 3v2 + 2v3 = 0
-1v1 + 1v2 + 0v3 = -10
-5v1 - 2v2 + 2v3 = 0
Next, I did rref and my calculator showed
v1 = 2.778
v2 = -7.222
v3 = -0.278
I just don't understand where I could be going wrong here....
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