Is my transfer function correct?

Click For Summary

Discussion Overview

The discussion revolves around the correctness of a transfer function related to a circuit analysis problem. Participants explore the structure of loops and paths in the circuit, addressing potential errors and clarifying concepts related to feedback loops and summing junctions. The scope includes technical explanations and mathematical reasoning.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants suggest that there are missing loops in the transfer function representation.
  • One participant argues that a specific loop is not a proper loop due to the direction of arrows.
  • There is a discussion about the correct expression for the transfer function, with some participants proposing different methods for calculating it.
  • Participants debate the significance of certain loops and paths, with one claiming that a loop does not change anything in the circuit.
  • There is confusion regarding the terminology used for circuit components, with terms like "reductors" and "summing junctions" being discussed.
  • One participant mentions that their result differs from another's due to the presence of additional factors in the equations.
  • Several participants express uncertainty about the application of their methods and the validity of the proposed formulas.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correctness of the transfer function or the significance of certain loops. Multiple competing views remain regarding the proper approach to circuit analysis and the terminology used.

Contextual Notes

Limitations include unresolved mathematical steps and differing interpretations of circuit components. The discussion reflects varying levels of understanding and familiarity with circuit analysis techniques.

Who May Find This Useful

This discussion may be useful for students and practitioners in electrical engineering or circuit analysis, particularly those grappling with transfer functions and feedback systems.

  • #31
I see you're notching it up!
This is looking challenging! :)
And you have a name for the formula, Mason's gain.
That is something I can look up.

Now let's see... the sign of loop G3H3 seems wrong.

And your non-touching loops do not appear to be correct.
If I select the first 2 non-touching loops, I find G1G2H1 x G3H3.
But you have G3G4 after that??

Furthermore there are 4 combinations of 2 non-touching loops, but you have only 2 combinations...
 
Physics news on Phys.org
  • #32
And your non-touching loops do not appear to be correct.
If I select the first 2 non-touching loops, I find G1G2H1 x G3H3.
But you have G3G4 after that??

Furthermore there are 4 combinations of 2 non-touching loops, but you have only 2 combinations...

Ooohhhhhhh... I understand how it works. Wait :)

http://img24.imageshack.us/img24/444/songut.jpg

Plus fixing the sign of G3H3 to minus before the non-touching loops - agreed
 
Last edited by a moderator:
  • #33
Looking at you first combination, G1G2H1 is a loop, but G4 is not a loop.
You should use G3G4 instead.

Same thing in your 3rd term.

That's all! You have the signs correct this time round! :)
 
  • #34
I like Serena said:
Looking at you first combination, G1G2H1 is a loop, but G4 is not a loop.
You should use G3G4 instead.

Same thing in your 3rd term.

That's all! You have the signs correct this time round! :)

You're right, I got it, I was rushing because I thought I had it. Thank you! :)
 

Similar threads

Replies
12
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
16
Views
4K