Twin-T Notch Filter: Solve the Circuit with Node Analysis

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SUMMARY

The discussion focuses on solving a twin-T notch filter circuit using node analysis and complex impedance. The user initially struggled with the equations but successfully manipulated them after applying the complex impedance formula C = 1/sC. By setting the voltage at node vx to zero, which is grounded, the user was able to derive the correct output-to-input voltage ratio (vout/vin). This method demonstrates the effectiveness of node analysis in circuit analysis involving complex impedances.

PREREQUISITES
  • Understanding of twin-T notch filter circuits
  • Familiarity with node analysis in electrical engineering
  • Knowledge of complex impedance calculations
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the principles of twin-T notch filter design
  • Learn advanced node analysis techniques for circuit analysis
  • Explore complex impedance in AC circuit analysis
  • Review algebraic manipulation of electrical equations
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing and designing filter circuits will benefit from this discussion.

anthonuc
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Homework Statement


This is a twin-T notch filter.

[PLAIN]http://l23.sphotos.l3.fbcdn.net/hphotos-l3-snc4/hs1360.snc4/163224_10150132441064992_712009991_8008832_7339032_n.jpg

Homework Equations



R = R
C = 1/sC
L = sL

The Attempt at a Solution



Not sure if my complex impedance equations are correct or even useful.

Anyhow I tried using node analysis after changing to complex impedances to see if I could get some equations to manipulate into vout/vin but it seems to get me nowhere really.

I'm fairly puzzled as far as how to approach this circuit. Any advice would be greatly appreciated.
 
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don't know if that helps.

Solution:

Yeah so I just changed to complex impedances (C = 1/sC) and used node analysis and with enough algebra I managed to manipulate the correct equation.

You just set vx=0 since it's connected to ground.
 

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