Resistance reduction and source transformation to find voltage

Click For Summary

Discussion Overview

The discussion revolves around a homework problem involving the use of resistance reduction and source transformation techniques to determine the voltage Vx in a given electrical circuit. The focus is on the application of circuit analysis methods, specifically in the context of combining resistors and transforming sources.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about performing a source transformation when a current source is in parallel with two resistors (12 Ω and 6 Ω).
  • Another participant notes that the 12 Ω and 6 Ω resistors are in parallel with each other due to their configuration with the current source.
  • A different participant suggests combining the entire network on the left side of the current source with the 6 Ω resistor on the right, indicating a method for simplification.
  • A later reply indicates that one participant successfully solved for Vx and realized the importance of recognizing the parallel configuration of the resistors in relation to the current source.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach initially, as there is uncertainty regarding the source transformation. However, one participant ultimately claims to have solved the problem, indicating some resolution for that individual.

Contextual Notes

There are limitations in the discussion regarding the clarity of the circuit configuration, as well as the specific steps taken during the source transformation and resistor combination processes, which remain unresolved.

Who May Find This Useful

This discussion may be useful for students or individuals studying circuit analysis techniques, particularly those interested in resistance reduction and source transformation methods in electrical engineering contexts.

gfd43tg
Gold Member
Messages
949
Reaction score
48

Homework Statement


Use resistance reduction and source transformation to find Vx in the circuit below. All resistance values are in ohms.


Homework Equations





The Attempt at a Solution


For this problem, I know I can combine the 16 Ω resistors, but where I'm having a little trouble is knowing how to do the source transformation if the current source is parallel to the 12 Ω and 6Ω resistor. I can combine all of the resistors on the left and right side, but it will leave me with a current source in parallel to two resistors
 

Attachments

  • 2.4 attempt 1.png
    2.4 attempt 1.png
    4.4 KB · Views: 654
Physics news on Phys.org
If the current source is in parallel with the 12 Ω and 6Ω resistors, then that also means the 12 Ω and 6Ω resistors are in parallel with each other...

See if you can reduce the network of resistors as much as possible (leaving the "Vx" resistor alone, of course).
 
You should be able to combine the entire network on the left side of the current source with the 6Ω on the right.
Let us know when you've got it.
 
I was able to solve it, and got Vx = 8 V. The problem was that I was unaware that the resistors in between the current source were in parallel, so when doing a source transformation I thought which one should I do it with, but now I know.
 

Similar threads

Replies
15
Views
3K
  • · Replies 37 ·
2
Replies
37
Views
6K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 9 ·
Replies
9
Views
6K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
6K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K