Transfer function from a Z = a - i * b number.

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Discussion Overview

The discussion revolves around converting a complex impedance expressed as a complex number (2 - 3i) into a transfer function suitable for use in MATLAB. Participants explore the relationship between impedance in the s-domain and its representation in terms of resistors and capacitors.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant presents a voltage relation Vout/Vin = 2 - 3i and seeks assistance in converting this to a transfer function in MATLAB.
  • Another participant shares a link to a resource on Laplace transforms, suggesting it may help with the conversion process.
  • A participant expresses uncertainty about converting the impedance into the s-domain, noting that 2 - 3i should correspond to a resistor and capacitor in series.
  • One participant explains the impedance representations for capacitors, resistors, and inductors, indicating how to express a series RC circuit in terms of s.
  • A later reply acknowledges the correctness of the previous explanation and expresses suspicion about the frequency aspect of the transfer function, indicating ongoing uncertainty.

Areas of Agreement / Disagreement

Participants generally agree on the basic representations of circuit components in the s-domain, but there remains uncertainty regarding the specific conversion of the given impedance into a transfer function.

Contextual Notes

Participants express limitations in their understanding and knowledge gaps, particularly regarding the conversion process and the implications of frequency in the context of the transfer function.

Who May Find This Useful

Individuals interested in circuit analysis, Laplace transforms, and MATLAB applications in electrical engineering may find this discussion relevant.

Arif1996
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I have a circuit where after a deduction of the impedance, I have found the output to input voltage relation as Vout/Vin = 2 - 3i

Can anyone please let me know how can I can convert it to s functions (such as G(s) = 1/1+s) in Matlab so that I can get a transfer function?

I would appreciate help, or a link to a document if that is preferred.
 
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Thanks..but i swear to God..i have read those...i think i am missing a very small little connection...2 - 3i is supposed to be a resistor and capacitor in series..R and C...and now just have to convert that into s domain...i guess..i would need some more reading...once i have the numerater and denominator, i can just use the MATLAB function to find the transfer function...as i said...it's been a while since i have done this and just trying to peak some brain from a person who deals with this on a daily basis...

not trying to be slacker...i will resolve as time progress...
 
a capacitor is 1/sC and a resistor is R. An inductor is sL. So a series RC is R + 1/sC or you could say it is R + 1/jwC (I use j instead of i) which is R -j/wC

The impedance of a capacitor is 1/2πfc which is the same as saying 1/wC.
 
yes..you are absolutely correct..:-)...i am a bit suspicious about the frequency and the reason trying to see...if i am missing something while writing the TF...i will most likely take care of this on the coming week and your explanation really helped a lot...much appreciated...
 

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