Reduce T-Network Feedback Resistance

  • #1

Homework Statement


Reduce the feedback resistance for the following T-Network
Capture.jpg


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
 

Answers and Replies

  • #2
gneill
Mentor
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The Thevenin approach looks fine. Did you have some question about it?
 
  • #3
Thank you for your quick respond. My question is whether this approach OK or not. And if the feedback resistance can be reduced more.
 
  • #4
gneill
Mentor
20,922
2,866
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.
 
  • #5
donpacino
Gold Member
1,439
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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
 
  • #6
LvW
847
228
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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