[Circuits] Finding the Thevenin and Norton Equivalents #3

  • Context: Engineering 
  • Thread starter Thread starter ainster31
  • Start date Start date
  • Tags Tags
    Circuits Thevenin
Click For Summary

Discussion Overview

The discussion revolves around finding the Thevenin and Norton equivalents in a circuit analysis context. Participants are addressing a specific issue related to obtaining a negative value for the Thevenin resistance (Rth) and the implications of current direction and voltage polarity in their calculations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion over obtaining a negative value for Rth and questions what went wrong in their calculations.
  • Another participant suggests that the issue may relate to the direction of the current being injected into the circuit versus the polarity of the resulting voltage across the terminals.
  • A participant speculates that their mistake might be due to the orientation of the 1A current source, questioning if it should have been pointing in the opposite direction.
  • Another response clarifies that the orientation of the current source is not necessarily a mistake if the polarity of the voltage is correctly assigned, emphasizing the importance of understanding terminal designations when measuring voltage.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the specific error leading to the negative Rth value. There are multiple viewpoints regarding the implications of current direction and voltage polarity, indicating that the discussion remains unresolved.

Contextual Notes

Participants reference the definitions of resistance and voltage measurement, but there are unresolved assumptions regarding the circuit configuration and the specific calculations performed.

ainster31
Messages
158
Reaction score
1

Homework Statement



vtG9YnW.png


Homework Equations





The Attempt at a Solution



Attached to this post. I had to take the absolute value of Rth. What did I do wrong to get a negative value for Rth?
 

Attachments

  • 4.57 Attempt.jpg
    4.57 Attempt.jpg
    27.9 KB · Views: 671
Physics news on Phys.org
ainster31 said:

The Attempt at a Solution



Attached to this post. I had to take the absolute value of Rth. What did I do wrong to get a negative value for Rth?

No doubt it has to do with the direction of the current that you're "injecting" into the circuit versus the polarity of the resulting voltage across the terminals. The resistance of a component (or circuit for that matter) is defined as the current into the port divided by the resulting potential across that port. The polarity of the voltage "measurement" is such that the terminal where the current is injected is taken to be positive:

attachment.php?attachmentid=66261&stc=1&d=1391463145.gif
 

Attachments

  • Fig2.gif
    Fig2.gif
    1.1 KB · Views: 672
So my mistake was that the 1A current source was pointing down when it should've been pointing up?
 
ainster31 said:
So my mistake was that the 1A current source was pointing down when it should've been pointing up?

Not a mistake per se, not if you take it into account when you assign the polarity of the voltage. You are looking for the potential at terminal a with respect to terminal b, so automatically that implies that the a terminal is the where you'd put the + lead of your meter (if you were measuring it). You are driving the current into the b terminal, so it becomes the "+" terminal for the resistance determination. That's contrary to the desired arrangement, and will result in a reversed sign for the voltage Vab.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 42 ·
2
Replies
42
Views
7K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 15 ·
Replies
15
Views
12K
  • · Replies 9 ·
Replies
9
Views
6K