Finding the Transfer Function of an RLC Circuit with Parallel Capacitance

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Discussion Overview

The discussion revolves around finding the transfer function of an RLC circuit with parallel capacitance, specifically focusing on the relationship between the output voltage and input voltage in the s-domain. Participants are seeking to derive the transfer function to ultimately determine the impulse response of the circuit.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant initially reports obtaining a transfer function where the degree of the denominator is greater than that of the numerator, seeking assistance in verifying their result.
  • Another participant requests clarification on the transfer function derived and asks for the specific expression obtained, questioning the implications of the denominator's degree.
  • A participant later corrects themselves, stating that their derived transfer function actually has a degree of the numerator greater than that of the denominator, and seeks feedback on their calculations.
  • Another participant expresses uncertainty regarding the schematic provided, suggesting that the input voltage might be connected differently than initially described, which could affect the results.
  • A participant clarifies the circuit configuration, indicating that the input voltage is connected through the RLC circuit in parallel with the capacitance, and shares an equivalent circuit diagram for better understanding.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the correct configuration of the circuit or the resulting transfer function, with multiple interpretations and calculations presented. The discussion remains unresolved regarding the correct approach to finding the transfer function.

Contextual Notes

Participants mention potential confusion regarding the schematic and the connections within the circuit, indicating that the problem statement may have ambiguities that affect their calculations. There are also references to attachments that may contain additional information relevant to the discussion.

sagar615
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When i tried to find V_o(s)/V_i(s), i got a transfer function in s domain as,
degree of denominator was greater than that of numerator.
please help me find the transfer function of the attached circuit. i eventually need to find the impulse response.
 

Attachments

  • circuit.jpg
    circuit.jpg
    9.7 KB · Views: 530
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sagar615 said:
When i tried to find V_o(s)/V_i(s), i got a transfer function in s domain as,
degree of denominator was greater than that of numerator.
please help me find the transfer function of the attached circuit. i eventually need to find the impulse response.

Welcome to the PF. What transfer function do you get? Show us what you got.

And why would it maybe be good if the denominator had a higher order than the numerator?
 
Thank you for such quick response. I am sorry. What i derived has degree of numerator greater than degree of denominator. the transfer function that i got is, please refer to the attachment and let me know if I'm doing something wrong. thanks
 

Attachments

  • Circuit_Analysis.jpg
    Circuit_Analysis.jpg
    30.6 KB · Views: 515
sagar615 said:
Thank you for such quick response. I am sorry. What i derived has degree of numerator greater than degree of denominator. the transfer function that i got is, please refer to the attachment and let me know if I'm doing something wrong. thanks

I'm not sure (the problem statement schematic is a bit unusual for me), but I think Vi should be at V- input, and the other side of the xtal is grounded (connected to V+ input). Vi is not being fed in through the xtal. Does that give you a better result?
 
Vi is connected through the RLC circuit parallel with C_p. Attached is the other equivalent of the circuit. I hope that gives a better idea of the circuit i am trying to analyze. The schematic diagram seems correct according to this attachment. I do not know whether it gives a better result. I have just been asked to find the impulse response. so i was trying to evaluate the transfer function first.
 

Attachments

  • Circuit2.jpg
    Circuit2.jpg
    13.8 KB · Views: 508

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