Simple transfer function question

AI Thread Summary
The discussion revolves around finding the transfer function of a series RLC circuit where the output voltage (Vo) is across the resistor (R) and the input voltage (Vi) is the source voltage. The user derived the transfer function as Vo/Vi = R/(sL + 1/sC + R) and simplified it under the assumption that R, C, and L all equal 1, resulting in H(s) = s/(s^2 + 1 + s). They also attempted to find the magnitude of the transfer function, arriving at |H(ω)| = ω/sqrt(ω^4 + ω^2 + 1), but expressed doubt about its accuracy. The conversation includes a request for assistance in verifying the magnitude calculation. The discussion highlights the importance of correctly applying circuit analysis principles to derive transfer functions and magnitudes.
tadm123
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Homework Statement


Find the transfer function of an RLC circuilt and the magnitude. (All the impedances are in series) and the Vo is in the R. Vi is the source voltage.


Homework Equations





The Attempt at a Solution



So transfer function of the circuit => Vo/Vi = R/ (sL+1/sC + R)

solving all this and assuming that R=C=L=1
I get

H(s)= s/(s^2+1+s)

H(ω)= jω/(j^2*ω^2+1+j*ω)

For the magnitud I get :

|H(ω)|= ω/sqr(ω^4+ω^2+1)

But I think the magnitude is wrong, please help.
 
Last edited:
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Hi tadm123. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif


Remember that j^2 = -1
 
Last edited by a moderator:
tadm123 said:
assuming that R=C=L=1



whence this assumption?
 

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