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

AI Thread Summary
The discussion centers on converting the output-to-input voltage relation of a circuit, expressed as Vout/Vin = 2 - 3i, into a transfer function suitable for MATLAB. Participants clarify that the expression represents a series resistor and capacitor, with the need to convert it into the s-domain for analysis. Key points include the impedance relationships for resistors, capacitors, and inductors, and the importance of understanding frequency in this context. The user expresses a desire for additional resources and acknowledges the complexity of the conversion process. Overall, the conversation emphasizes the need for clarity in transforming circuit parameters into a usable transfer function format.
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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