Reduce T-Network Feedback Resistance

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Discussion Overview

The discussion revolves around reducing the feedback resistance in a T-Network circuit. Participants explore various methods for circuit analysis, including Thevenin's theorem and alternative transformations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests using Thevenin's theorem for analyzing the circuit and questions whether this approach is valid.
  • Another participant agrees that the Thevenin approach is acceptable but expresses doubt about further simplification without numerical values.
  • A different participant proposes simplifying the expression to a form of G=NUM/DEN to eliminate certain terms in the numerator.
  • Another participant introduces the star-triangle transformation as an alternative method, noting that it can lead to neglecting certain resistors that do not affect the closed-loop gain.

Areas of Agreement / Disagreement

Participants generally agree on the validity of the Thevenin approach, but there is no consensus on whether the feedback resistance can be reduced further or the best method to achieve this.

Contextual Notes

Participants mention the need for numerical values for further simplification and the potential limitations of the proposed methods, but these aspects remain unresolved.

JasonHathaway
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Homework Statement


Reduce the feedback resistance for the following T-Network
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Homework Equations


Basic circuit analysis (Thevenin maybe?)

The Attempt at a Solution


My first though was to use Thevenin, and actually I've found some book used that method:
Capture2.jpg

Capture3.jpg
 
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The Thevenin approach looks fine. Did you have some question about it?
 
Thank you for your quick respond. My question is whether this approach OK or not. And if the feedback resistance can be reduced more.
 
JasonHathaway said:
Thank you for your quick respond. My question is whether this approach OK or not. And if the feedback resistance can be reduced more.
The approach is good, and I doubt that the resistance can be simplified further (other than rearranging it algebraically) without plugging in actual values to reduce it to a number.
 
JasonHathaway said:
Thank you for your quick respond. My question is whether this approach OK or not. And if the feedback resistance can be reduced more.
Typically it is a good idea to get it in the form of

G=NUM/DEN.

in other words, simplify to get rid of R2*R3/R4 in the Numerator
 
As an alternative, you can apply the star-triangle transformation.
After applying this transformation there will be two resistors which do not influence the closed-loop gain (and can be neglected).
 

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