RLC Circuit State-Space & Transfer Function Help

Elecmanic

Joined May 12, 2010
6
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

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Georacer

Joined Nov 25, 2009
5,182

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.

panic mode

Joined Oct 10, 2011
2,302
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.

Georacer

Joined Nov 25, 2009
5,182
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.

panic mode

Joined Oct 10, 2011
2,302
Sorry, I will try to follow this idea from now on...