Solve Vx in Nodal Voltage Analysis

In summary, the conversation was about finding Vx in a circuit with three equations given. After discussion and clarification, the correct equations are (V1-V2)/2 = (V2-V3)/1 + (V2-0)/1 and 2Vx = V3 = 2(V1 - V2).
  • #1
Gclip5
9
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
 
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  • #2
Gclip5 said:

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

You made a error

(V1 - V2)/2Ω = V2/1Ω + ??
 
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  • #3
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.
 
  • #4
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
 
  • #5
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
 
  • #6
Yeah sorry about the poor labeling, but Nugso is correct. I still can't figure out a third equation to get.
 
  • #7
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.
 
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  • #8
THANKS. Can't believe i didnt see that.
 

FAQ: Solve Vx in Nodal Voltage Analysis

1. What is nodal voltage analysis?

Nodal voltage analysis is a method used in circuit analysis to determine the unknown voltages at different nodes in a circuit. It is based on Kirchhoff's Current Law (KCL) and Ohm's Law, and is commonly used to solve complex circuits with multiple nodes.

2. Why is it important to solve for Vx in nodal voltage analysis?

Solving for Vx allows us to understand the voltage at a specific node in a circuit, which is crucial in designing and analyzing electrical systems. It helps us determine the voltage drop across different components and ensure that the circuit operates within safe voltage limits.

3. How do you solve for Vx in nodal voltage analysis?

To solve for Vx, we first label all the nodes in the circuit and assign a reference node (usually the ground). Then, we write KCL equations for each node, setting the sum of currents entering the node equal to the sum of currents leaving the node. We can then use Ohm's Law and additional equations (such as voltage divider rule) to solve for Vx.

4. What are some tips for solving Vx in nodal voltage analysis?

Here are some tips for solving Vx in nodal voltage analysis:

  • Choose a reference node that will make the calculations easier.
  • Label the nodes and their corresponding voltages carefully.
  • Write KCL equations for each node and ensure that all the currents are correctly labeled.
  • Simplify the equations as much as possible before solving for Vx.
  • Double-check your calculations to avoid errors.

5. What are some common mistakes to avoid when solving for Vx in nodal voltage analysis?

Some common mistakes to avoid include:

  • Forgetting to include all the currents in the KCL equations.
  • Not labeling the nodes correctly or mixing up the node voltages.
  • Using the wrong reference node.
  • Not simplifying the equations before solving for Vx.
  • Not considering the direction of currents in the calculations.

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