- #1
Nodal Equations: Solving for Unknowns in Circuit Analysis
- Thread starter Fatima Hasan
- Start date
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- Nodal
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Discussion Overview
The discussion revolves around the formulation of nodal equations in circuit analysis, focusing on identifying and labeling node voltages, particularly in the context of supernodes. Participants seek clarification on the relationships between various node voltages and the substitution of equations in the process of solving for unknowns.
Discussion Character
- Homework-related
- Technical explanation
- Conceptual clarification
Main Points Raised
- One participant requests verification of their nodal equations and seeks feedback on their solution.
- Several participants ask for clarification on the labeling of node voltages, specifically questioning the roles of V1, V2, V3, and V4 in the circuit.
- Another participant notes that V2 and V3 are part of supernodes and suggests associating only one potential variable with each supernode.
- Equations relating V2 and V3 to other variables are proposed, with one participant asking if these should be substituted into a specific equation.
- Responses confirm that substitutions should be made into both Eq#1 and Eq#2, leading to two node equations with two unknowns.
Areas of Agreement / Disagreement
Participants generally agree on the need to clarify node voltage labeling and the approach to forming nodal equations. However, there is no consensus on the specific roles of V3 and V4, as well as the exact equations to be used.
Contextual Notes
Some assumptions about the circuit configuration and the definitions of supernodes may not be fully articulated, leading to potential misunderstandings regarding the relationships between the node voltages.
- #2
gneill
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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.
- #3
- #4
gneill
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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##.
Note that your ##V_2 = V_1 - 20##, and ##V_3 = V_4 + 3V_x##.
- #5
Fatima Hasan
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Should I substitute these equations in Eq#2 ?gneill said:
- #6
gneill
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Yes. Both Eq#1 and Eq#2. You should end up with two node equations with only two unknowns.Fatima Hasan said:
Edit: Corrected the second equation reference number (typo on my part).
Last edited:
- #7
Fatima Hasan
- 315
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Thanks for your help.gneill said:
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