Transfer function for electrical circuit

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SUMMARY

The discussion focuses on deriving the transfer function for an electrical circuit using matrix methods and KCL (Kirchhoff's Current Law) equations. The user initially attempted to calculate the transfer function as W(s) = 1/C1*s*R1 + C2*s*(R1 + (C1*s*R1 + 1)*R2). The key takeaway is that to compute the transfer function, one must establish a relationship between Vout and Vin by introducing an intermediate variable and applying KCL to eliminate it. The provided image illustrates the circuit in question.

PREREQUISITES
  • Understanding of transfer functions in electrical circuits
  • Familiarity with Kirchhoff's Current Law (KCL)
  • Knowledge of matrix methods for circuit analysis
  • Basic concepts of Laplace transforms
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  • Study the derivation of transfer functions using KCL in electrical circuits
  • Learn about matrix methods for circuit analysis in detail
  • Explore Laplace transform applications in circuit analysis
  • Investigate advanced techniques for simplifying transfer functions
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Electrical engineers, circuit designers, and students studying control systems who need to understand transfer function derivation and circuit analysis techniques.

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Hello!

I have a problem to get a transfer function from my circuit(this circuit is marked with question sign "?").
For upper circuit this function is calculated...this can be seen in image.

I tought that it would be easier to get transfer function by using matrix, so then W(s) = 1/a11 By doing that I get W(s) = 1/C1*s*R1+C2*s*(R1+(C1*s*R1+1)*R2

I would be very thankful if someone could me with this exercise.

This image can be seen here:

postimage. org/image/n5uaq1f51/
 
Last edited:
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To calculate transfer function you basically need to compute Vout/Vin. Introduce a variable V for the intermediate node, and apply KCL equations and eliminate V to obtain a relation between Vout and Vin.
 

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