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

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The gain is -R2/R1.In summary, the conversation discusses a twin-T notch filter and the use of complex impedance equations to analyze the circuit. The suggested approach is to use node analysis and set vx to 0, resulting in a gain of -R2/R1. A resource is also provided for further information.
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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.
 

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

1. What is a Twin-T Notch Filter?

A Twin-T Notch Filter is an electronic circuit that is used to filter out a specific frequency from a signal. It is commonly used in audio applications to remove unwanted noise or to tune out a specific frequency.

2. How does a Twin-T Notch Filter work?

The Twin-T Notch Filter works by using a combination of resistors, capacitors, and op-amps to create a frequency-dependent feedback loop. This feedback loop creates a notch, or dip, in the frequency response curve at a specific frequency, which effectively filters out that frequency from the signal.

3. What is Node Analysis?

Node Analysis is a technique used in circuit analysis to determine the voltages at different points, or nodes, in a circuit. It involves applying Kirchhoff's Current Law and Ohm's Law to create a set of equations that can be solved to determine the unknown node voltages.

4. How do you solve a circuit with Node Analysis?

To solve a circuit with Node Analysis, you first need to identify all the nodes in the circuit and label them. Then, you can apply Kirchhoff's Current Law to each node to create a set of equations. Finally, you can use algebraic techniques to solve the equations and determine the voltages at each node.

5. What are the advantages of using a Twin-T Notch Filter?

One advantage of using a Twin-T Notch Filter is that it is a passive circuit, meaning it does not require an external power source. This makes it cost-effective and easy to implement in electronic devices. Additionally, it has a sharp notch, which allows for precise filtering of a specific frequency without affecting other frequencies in the signal.

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