Finding Voltages at V1, V2, and V3 using Node Analysis

In summary, using node analysis, the voltages at V1, V2, and V3 in the attached circuit are 7.33V, -6V, and -26V respectively. The circuit involves both a voltage source and constant current sources, which contribute to the overall current and voltage calculations.
  • #1
tanky322
43
0

Homework Statement


Find the voltages at V1 V2 & V3 in the attached circuit using node analysis.



Homework Equations



Node analysis

The Attempt at a Solution



I came up with a few equations for the variables:

V1(.5+1)-12(.5)=5
V2(.333+.25)-V3(.25)=3
V3(.25)-V2(.25)=-5

Solving I get V1:7.33V
V2:-6V
V3:-26V
I think I did it right but i don't see how i can get -26V when there's only 12 to begin with??

Andrew
 

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  • #2
No mistakes alright.
 
  • #3
The voltage source is not the only source of current.
There are constant current sources involved in the circuit as well. So there would be situations of V= I(current from voltage source + current from constant current source)R.
 
  • #4
Sweet! thanks allot!
 

1. How do you find voltages at V1, V2, and V3 using node analysis?

To find the voltages at V1, V2, and V3 using node analysis, you will need to follow these steps:

  • Identify the nodes in the circuit and label them.
  • Choose a reference node and ground it.
  • Write down Kirchhoff's Current Law (KCL) equations for each node, using the currents flowing into and out of the node.
  • Solve the resulting system of equations to find the unknown voltages.

2. What is node analysis in circuit analysis?

Node analysis is a method used in circuit analysis to determine the voltages at different nodes in a circuit. It is based on Kirchhoff's Current Law, which states that the sum of currents entering a node must equal the sum of currents leaving the node. By writing and solving a system of equations based on this law, the voltages at different nodes in the circuit can be determined.

3. What are the advantages of using node analysis?

The advantages of using node analysis include:

  • It is a systematic and organized method for solving circuits.
  • It can be used for both DC and AC circuits.
  • It is applicable to complex circuits with multiple nodes.
  • It can be used for circuits with dependent sources.

4. Can you use node analysis to find current in a circuit?

No, node analysis is used to find voltages at different nodes in a circuit. To find currents in a circuit, you would need to use another method such as mesh analysis or Ohm's Law.

5. Are there any limitations to node analysis?

Yes, there are some limitations to node analysis, including:

  • It can only be used for linear circuits.
  • It cannot be used for circuits with dependent sources.
  • It is not suitable for circuits with more than one voltage source.
  • It can become complex and time-consuming for circuits with a large number of nodes.

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