Characteristic impedance and transfer function

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SUMMARY

The discussion centers on calculating the absolute value of the transfer function for a two-port circuit that has capacitors and inductors swapped. The user is struggling to form the A-matrix necessary for determining the characteristic impedance, which is essential for deriving the transfer function. The characteristic impedance can be computed using the input impedances Z0 (open) and Zs (short) in the Laplace domain, following the formula sqrt(Z0 * Zs). The user seeks clarification on how to proceed with the A-matrix computation to find the transfer function.

PREREQUISITES
  • Understanding of two-port network theory
  • Familiarity with A-matrix formulation in circuit analysis
  • Knowledge of characteristic impedance calculations
  • Proficiency in Laplace transforms and their application in circuit analysis
NEXT STEPS
  • Study the formulation of the A-matrix for two-port networks
  • Learn how to compute characteristic impedance using Z0 and Zs
  • Explore transfer function derivation techniques in circuit theory
  • Investigate the impact of component substitution (capacitors vs. inductors) on circuit behavior
USEFUL FOR

Electrical engineers, circuit designers, and students studying network theory who need to understand transfer functions and characteristic impedance in two-port circuits.

ipmac
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I have to find the absolute value of the transfer function for the circuit shown in the attachment. However, I have capacitors instead of inductors in my circuit and inductors instead of capacitors. So, the cross circuit will have L in the upper and lower branch and two C in the cross. I couldn't form the A-matrix of the two port circuit. Because of this the characteristic impedance couldn't be found and thus transfer function. Could you please enlighten me in this matter?
 

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ipmac said:
I have to find the absolute value of the transfer function for the circuit shown in the attachment. However, I have capacitors instead of inductors in my circuit and inductors instead of capacitors. So, the cross circuit will have L in the upper and lower branch and two C in the cross. I couldn't form the A-matrix of the two port circuit. Because of this the characteristic impedance couldn't be found and thus transfer function. Could you please enlighten me in this matter?

What equations would you write to start to work toward an equation for Vout = f(Vin)?
 
As far as my understanding, we first determine the characteristic impedance by computing the input impedances Zo(open) and Zs(short) in Laplace domain when terminating the other port with impedances infinity (open) and zero (short). The characteristic impedance follows squrt(Z0.Zs). This is one way to find the characteristic impedance but I am supposed to get with with the computation of A-matrix which I am quite not sure.
 

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