What is the Transfer Function H(s) for the Given Circuit?

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Discussion Overview

The discussion revolves around finding the transfer function H(s) for a given circuit, focusing on the application of circuit analysis techniques in the frequency domain. Participants explore methods to derive the transfer function using node voltage analysis.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant states the need to find the transfer function H(s) defined as Vout/Vin, with specific values for capacitors and resistors.
  • Another participant suggests applying an impulse source to simplify the analysis, setting Vin to 1V.
  • A participant describes their attempt to use the node voltage method, presenting an equation involving the node voltage Vx and expressing their struggle with having two unknowns and only one equation.
  • One reply proposes writing an additional equation at the output node to resolve the issue of having two unknowns.
  • Another participant notes that the difference between the output and input voltages corresponds to the voltage across C1 and the sum of the voltages across R1 and R2.

Areas of Agreement / Disagreement

Participants generally agree on the approach of using node voltage analysis but have not reached a consensus on the specific equations or methods to apply. The discussion remains unresolved regarding the complete derivation of the transfer function.

Contextual Notes

Participants have not fully defined all assumptions or provided complete equations, which may limit the clarity of the analysis. The discussion reflects ongoing attempts to refine the mathematical approach.

sinned4789
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Homework Statement


find the transfer function H(s)
[PLAIN]http://img192.imageshack.us/img192/4204/asdwoe.jpg


Homework Equations


H(s) = Vout/Vin
done in the frequency domain so: C1 and C2 turns into 1/sC
where C1 = C2 = .1F
and R1 = R2 = 20


The Attempt at a Solution


to find the transfer function, i have to apply an impulse source. therefore, Vin is just 1V.
my attempt at this by using node voltage method:
(Vx is the node that connects R1, R2, and C2)

(Vx -1)/20 + Vx/(10/s) + (Vx - Vout)/20 = 0

i am stuck with two unknowns and 1 equation. :[
 
Last edited by a moderator:
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bump, anyone?
 
sinned4789 said:

Homework Statement


find the transfer function H(s)
[PLAIN]http://img192.imageshack.us/img192/4204/asdwoe.jpg


Homework Equations


H(s) = Vout/Vin
done in the frequency domain so: C1 and C2 turns into 1/sC
where C1 = C2 = .1F
and R1 = R2 = 20


The Attempt at a Solution


to find the transfer function, i have to apply an impulse source. therefore, Vin is just 1V.
my attempt at this by using node voltage method:
(Vx is the node that connects R1, R2, and C2)

(Vx -1)/20 + Vx/(10/s) + (Vx - Vout)/20 = 0

i am stuck with two unknowns and 1 equation. :[

Write another equation, then you'll have 2 equations and 2 unknowns. I would write one at the output node.
 
Last edited by a moderator:
The difference between the voltages of the output and input nodes is the voltage across C1 and also the sum of the voltages across R1 and R2.
 

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