# RLC Circuit State-Space & Transfer Function Help

Discussion in 'Homework Help' started by Elecmanic, Feb 29, 2012.

1. ### Elecmanic Thread Starter New Member

May 12, 2010
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0
1. Question Paper

Can you please help me out to solve this question. I cannot do it for sure, the problem is if possible i need it very fast :/

Thanks & Regards
Elecmanic

Last edited by a moderator: Feb 29, 2012
2. ### Georacer Moderator

Nov 25, 2009
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1,266

Have you done anything already? Are you supposed to use the Laplace Transform variable 's' for the Transfer Function?

If that's the case, keep in mind that $Z_C=\frac1{sC}$ and $Z_L=sL$, where Z is the impedance, C is the capacitance and L is the inductance.

3. ### panic mode Senior Member

Oct 10, 2011
1,308
298
Z1= 1/sC1 + sL1
Z2= (1/sC2)|| (sL2) = (sL2/sC2)/(1/sC2+sL2)
Z2= sL2 / (1+s^2L2C2)

using voltage divider rule

Vo = Vi * Z2/(Z1+Z2)

then transfer function is

T(s)=Vo(S)/Vi(s) = Z2/(Z1+Z2)

etc.

4. ### Georacer Moderator

Nov 25, 2009
5,142
1,266
It is nice that you want to help a fellow student, but it's best if you don't give him the answer outright. Let him make an initial effort, in order to "earn" the answer.

timekeeper likes this.
5. ### panic mode Senior Member

Oct 10, 2011
1,308
298
Sorry, I will try to follow this idea from now on...