How do I solve nodal analysis with a 2Ix voltage source at the red node?

Click For Summary

Discussion Overview

The discussion revolves around solving a nodal analysis problem involving a voltage source (2Ix) at a specific node (the red dot) in an electrical circuit. Participants explore different approaches to analyze the circuit, including nodal and mesh analysis, and clarify the relationships between voltages and currents in the circuit.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant asks how to find the voltage at the red node using nodal analysis, expressing confusion due to the presence of the 2Ix voltage source.
  • Another participant suggests finding Ix in terms of the voltage at the red dot before applying nodal analysis.
  • Some participants question the necessity of using nodal analysis, suggesting that the circuit may be simpler as a series circuit due to open terminals.
  • There is a clarification that the voltage at the red dot is not simply 2Ix, as it only represents one of the sources in a branch between the red point and ground.
  • Participants discuss the concept of a supernode and how to treat the circuit as one big node, leading to equations involving the node voltage and currents.
  • There is a distinction made between voltages and currents, with emphasis on the current leaving the red node rather than the blue node.

Areas of Agreement / Disagreement

Participants express differing opinions on whether nodal analysis is the best approach for this problem, with some advocating for it while others suggest mesh analysis may be more appropriate. The discussion remains unresolved regarding the optimal method to apply.

Contextual Notes

Participants note the complexity introduced by the voltage source and the open terminals, which may affect the analysis. There are also unresolved aspects regarding the treatment of different branches in the circuit.

influx
Messages
162
Reaction score
1
nodalvxv.png


How do I find the voltage at the node with the red dot using nodal analysis? The 2Ix voltage source to the left of the node with the red dot makes it confusing for me...

Thanks
 
Physics news on Phys.org
First, I think you should find Ix in terms of the voltage at the red dot. Once you have Ix in terms of the node voltage, then you can use nodal analysis to find its value
 
Do you have to use nodal that's sort of odd. Since the terminals are open, no current flows through the 5 ohm resistor and this is a simple series circuit
 
FOIWATER said:
Do you have to use nodal that's sort of odd. Since the terminals are open, no current flows through the 5 ohm resistor and this is a simple series circuit

Well my book uses mesh analysis. I was just wondering whether it is possible to use nodal analysis?
 
Maylis said:
First, I think you should find Ix in terms of the voltage at the red dot. Once you have Ix in terms of the node voltage, then you can use nodal analysis to find its value


The voltage at the red dot is 2Ix no?
 
influx said:
The voltage at the red dot is 2Ix no?
No. That's the voltage of just one of the sources in a branch between Red Point and ground.

If you consider the other (shorter) branch between Red Point and ground, what is that branch voltage?
 
NascentOxygen said:
No. That's the voltage of just one of the sources in a branch between Red Point and ground.

If you consider the other (shorter) branch between Red Point and ground, what is that branch voltage?

Is this correct?

nodalvfv.png
 
Yes, you got that part right.
 
Jony130 said:
Yes, you got that part right.

Ok, so how would I apply nodal analysis now? I mean I can get (v-10)/3 but that's as far as I can get. I don't know how to treat the part to the right of node V.
 
  • #10
Treat it as one big node a supernode.

Whats comes in must come out.
(10 - V)/3Ω = ((V+ 2*Ix) - 0)/6Ω
And
Ix = (10 - V)/3Ω
 
Last edited by a moderator:
  • #11
Jony130 said:
Treat it as one big node a supernode.

Whats comes in must come out.
(10 - V)/3Ω = ((V+ 2*Ix) - 0)/6Ω
And
Ix = (10 - V)/3Ω


The part in bold is the voltage that comes out of the red node rather than the blue node?

Thanks
 
Last edited by a moderator:
  • #12
influx said:
The part in bold is the voltage that comes out of the red node rather than the blue node?

Thanks
The part in the bold is a current that comes out of the red node. Or the current that leaves the positive terminal of a CCVS.
 

Similar threads

Help with Circuit Nodal Analysis
  • · Replies 2 ·
Replies
2
Views
2K
Solve Vo: Voltage Nodal Analysis w/ KCL Equation
  • · Replies 5 ·
Replies
5
Views
3K
Engineering Unable to model Transresistance amplifier with feedback correctly
  • · Replies 1 ·
Replies
1
Views
2K
Engineering Why Is Nodal Analysis Confusing in This Circuit Example?
  • · Replies 7 ·
Replies
7
Views
2K
Engineering Why is the voltage source high potential into node 1 at -12 V in this op amp problem?
  • · Replies 15 ·
Replies
15
Views
3K
Electric Circuit Analysis, Nodal Analysis and finding Voltage.
  • · Replies 2 ·
Replies
2
Views
2K
Find voltage using nodal analysis
  • · Replies 4 ·
Replies
4
Views
2K
Nodal Analysis Problem help (Double Supermesh)
  • · Replies 1 ·
Replies
1
Views
3K
Solving Voltage Source Nodal Analysis: Find Vo
  • · Replies 3 ·
Replies
3
Views
2K
Solving for Vo: Nodal Analysis Approach
  • · Replies 7 ·
Replies
7
Views
2K