Solve Vx in Nodal Voltage Analysis

Click For Summary
SUMMARY

The discussion focuses on solving for Vx in a nodal voltage analysis problem. Participants clarify the equations needed to find Vx, specifically identifying the relationships between voltages V1, V2, and V3. The correct formulation of the equations is established, particularly highlighting the equation (V1-V2)/2 = (V2-V3)/1 + (V2-0)/1, which is crucial for solving the problem. The participants confirm the need for a third equation to complete the analysis, ultimately leading to the solution for V2 and Vx.

PREREQUISITES
  • Nodal Voltage Analysis
  • Basic Circuit Theory
  • Understanding of Ohm's Law
  • Voltage and Current Relationships
NEXT STEPS
  • Study advanced Nodal Voltage Analysis techniques
  • Learn about circuit simulation tools like LTspice
  • Explore the concept of supernodes in circuit analysis
  • Review the principles of Kirchhoff's Voltage Law (KVL)
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing electrical circuits using nodal analysis techniques.

Gclip5
Messages
9
Reaction score
0

Homework Statement


Find Vx.
http://imageshack.com/a/img853/3093/ssdr.png

Homework Equations


NONE


The Attempt at a Solution


I just need one more equation so far I have:
1. V1 = 4v
2. V3 = 2Vx
3. (V1-V2)/2 = V2-V3+V2
 
Last edited by a moderator:
Physics news on Phys.org
Gclip5 said:

3. (V1-V2)/2 = V2-V3+V2

You made a error

(V1 - V2)/2Ω = V2/1Ω + ??
 
Last edited:
I don't see the error. The voltage is dropping across the resistor from V2 to V3. Likewise for the other one ohm resistor from V2 to ground.
 
Gclip5 said:

3. (V1-V2)/2 = V2-V3+V2

How can this be true if the left side of a the equation has a unit of Amps.
(V - V)/Ω = V/Ω = A
But on the right side you only have a voltage.
And as we all know Ampere are not equal to Volts
 
Jony130 said:
How can this be true if the left side of a the equation has a unit of Amps.
(V - V)/Ω = V/Ω = A
But on the right side you only have a voltage.
And as we all know Ampere are not equal to Volts

Well I guess the equation he meant to write is:

(V1-V2)/2 = (V2-V3)/1 + (V2-0)/1 which is equal to (V1-V2)/2 = V2-V3 + V2
 
Yeah sorry about the poor labeling, but Nugso is correct. I still can't figure out a third equation to get.
 
Ok I see the problem.
So all you need is this

(V1-V2)/2 = (V2-V3)/1 + (V2-0)/1 (1)

2Vx = V3 = 2(V1 - V2) (2)

And you solve for V2.
 
  • Like
Likes   Reactions: 1 person
THANKS. Can't believe i didnt see that.
 

Similar threads

Engineering Solve this Circuit using both Nodal Analysis and Mesh Analysis
  • · Replies 15 ·
Replies
15
Views
4K
Nodal Analysis Problem help (Double Supermesh)
  • · Replies 1 ·
Replies
1
Views
2K
Find V1 & V2 with Nodal Voltage Analysis
  • · Replies 1 ·
Replies
1
Views
2K
REAL QUICK HELP nodal analysis?
  • · Replies 2 ·
Replies
2
Views
2K
Engineering Having trouble with some review circuits using nodal analysis
  • · Replies 5 ·
Replies
5
Views
2K
Engineering Nodal analysis of an AC circuit
  • · Replies 4 ·
Replies
4
Views
2K
What alternative methods can be used for solving nodal analysis equations?
  • · Replies 14 ·
Replies
14
Views
2K
Engineering Applying Kirchoff's Voltage Law to a circuit
  • · Replies 3 ·
Replies
3
Views
3K
Super Node Analysis: Find V1,V2,V3,I1,I2,I3
  • · Replies 4 ·
Replies
4
Views
2K
Steady State Sinusoidal using Nodal Analysis
  • · Replies 4 ·
Replies
4
Views
2K