Hi all,

I wonder if I'm on the right track. Because, using LTspice the results are Va=-12, Vb=7.13 and Vc=27.47 volts.

Thanks.

 

You know what, none of your two solutions is correct. Why? Because you made the same error in your hand calculation and in LTspice. In simply words your "definition" of an I3 (and Vx voltage) current is wrong.

How can I3 be equal to I3 = (Vc - 9V) /1Ω?

Do you see the error?

 

You know what, none of your two solutions is correct. Why? Because you made the same error in your hand calculation and in LTspice. In simply words your "definition" of an I3 (and Vx voltage) current is wrong.

How can I3 be equal to I3 = (Vc - 9V) /1Ω?

Do you see the error?

So the I3=(Vc+9-Vb)/1 ?

 

What is the voltage at the right side of a 1 Ohm resistor and what is the voltage at the left side of a resistor?

 

I'm comfused here. At the right side is Vc and at tthe lift side Vb, and what about 9V. this is incorrect I3=(Vc+9-Vb)/1 (?)

 

this is incorrect I3=(Vc+9-Vb)/1 (?)

Yes, this is incorrect.
Do you know that the voltage between points C and B is (Vc - Vb)?

 

Do you know that the voltage between points C and B is (Vc - Vb)?
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Yes, now I understand. I draw again the circuit making source transformation and help me.

 

I draw again the circuit making source transformation and help me.

No, you cannot do that. In this case, this is incorrect. Because of the fact that the "control voltage" (Vx) is not equal to Vc - Vb

In your circuit the Vx voltage is (Vc - (9+Vb))

 

What did you get for a final result?

 

What did you get for a final result?

The dependent source absorbs power from the circuit (2.522 W)

Calculations here: https://docdro.id/fM1XmNl

Thanks

 

You might be interested in seeing how it can be done in very compact form using linear algebra techniques.

The network is solved using both nodal and mesh analysis.

For the nodal analysis, I included the non-essential node between the 9 volt source and the 1 ohm resistor.

For the mesh analysis, the meshes and currents are I1, the lower left mesh; I2, the lower right mesh; I3, the upper mesh.

From these two solutions, the current in the dependent source is I3, and the voltage across the dependent source is Vd-Va.