RC circuit Transfer Function/bode plot

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Discussion Overview

The discussion revolves around deriving the transfer function for an RC circuit, measuring amplitude and phase response, and comparing theoretical results with experimental data. Participants explore methods for calculating the transfer function and generating Bode plots, addressing both conceptual and algebraic challenges.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant expresses difficulty in deriving the transfer function for the given RC circuit and seeks assistance.
  • Another participant confirms the initial approach is correct and provides an alternative method using admittance instead of impedance.
  • Several participants discuss the process of reducing the transfer function to a specific form to extract amplitude and phase information.
  • There are multiple suggestions on how to manipulate complex numbers to achieve the desired form for further analysis.
  • One participant mentions struggling with algebraic manipulation necessary for complex division and expresses a desire to understand the process better.
  • Another participant emphasizes the importance of simplifying the transfer function for easier analysis and Bode plotting.
  • Participants share their progress and insights on working through the algebraic steps involved in deriving the transfer function.

Areas of Agreement / Disagreement

Participants generally agree on the methods to derive the transfer function and calculate amplitude and phase, but there is no consensus on the specific algebraic manipulations required, as some express confusion and seek clarification.

Contextual Notes

Some participants note limitations in their algebraic skills, which may affect their ability to manipulate complex numbers effectively. The discussion includes various approaches to the same problem, indicating a lack of a single, universally accepted method.

Who May Find This Useful

This discussion may be useful for students and practitioners interested in circuit analysis, particularly those working with RC circuits and seeking to understand transfer functions and Bode plots.

  • #31
Jolly good show indeed!

I have plotted the phase!

What do you think?

View attachment phase.pdf

Thanks for all your help rude man!
 
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  • #32
Mitchy190 said:
Jolly good show indeed!

I have plotted the phase!

What do you think?

View attachment 46508

Thanks for all your help rude man!

You're welcome.

Except I'm confused about one thing - your plots look 100% right but the expressions you allegedly used are not.

The phase is not tan-1(1+ωRC) - tan-1(1+ωR3C). I suspect you used the right expression by accident or something similar. Check your Excel for the formulas you actually used.

BTW I wish I had your knowledge of Excel!
 
  • #33
rude man said:
You're welcome.

Except I'm confused about one thing - your plots look 100% right but the expressions you allegedly used are not.

The phase is not tan-1(1+ωRC) - tan-1(1+ωR3C). I suspect you used the right expression by accident or something similar. Check your Excel for the formulas you actually used.

BTW I wish I had your knowledge of Excel!

The formulaes I used are, which are correct right?

arctan(ω*R*C) - arctan(ω*R3*C)

Thanks! Wish I had your knowledge in physics!
 
Last edited:

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