Nodal Equations: Solving for Unknowns in Circuit Analysis

[Fatima Hasan]

Homework Statement

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Write the nodal equations

Homework Equations

The Attempt at a Solution

Could someone check my answer please ?

 

[gneill]

Can you label your image to locate the various node voltages? I can guess that V₁ and V₂ are associated with the two supernodes, but if so, I don't understand the introduction of V₃ and V₄ as separate nodes.

 

[Fatima Hasan]

Can you label your image to locate the various node voltages? I can guess that V₁ and V₂ are associated with the two supernodes, but if so, I don't understand the introduction of V₃ and V₄ as separate nodes.

 

[gneill]

Okay. Note that $V_2$ and $V_3$ are both part of supernodes. You want to associate only one potential variable with a given supernode.

Note that your $V_2 = V_1 - 20$, and $V_3 = V_4 + 3V_x$.

 

[Fatima Hasan]

Okay. Note that $V_2$ and $V_3$ are both part of supernodes. You want to associate only one potential variable with a given supernode.

Note that your $V_2 = V_1 - 20$, and $V_3 = V_4 + 3V_x$.

Should I substitute these equations in Eq#2 ?

 

[gneill]

Should I substitute these equations in Eq#2 ?

Yes. Both Eq#1 and Eq#2. You should end up with two node equations with only two unknowns.

Edit: Corrected the second equation reference number (typo on my part).

 

[Fatima Hasan]

Yes. Both Eq#1 and Eq#3. You should end up with two node equations with only two unknowns.

Thanks for your help.