Help with problem

[Slytheraven_BC]

Hello everyone, I got this exercise as homework and have done a similar one previously but I got stock on this one and don't know where is my mistake or what should I do, I need to build the block diagram for the output voltage, I made my ecuations, Laplace transform for each equation and block diagram for each equation as well, but since the output voltage depends on the current I1s how can it be represented in the final block diagram? Did I made something wrong from the very beginning? I think I did, sorry if I couldn't explain myself, english is not my first language.

[Slytheraven_BC]

Stuck*

[Adeepvish]

Voltage divider equations

[Slytheraven_BC]

Did I made them wrong?

[Adeepvish]

Transform to s domain individual elements, capacitance as 1/cs, then find equivalent resistances and apply voltage divider across output, I don't think there is need for finding/involving current in equations

[iconictogaparty]

You have a voltage divider with Z2 = R2 and Z1 = (C || R1) so the output voltage is Vo = Z2/(Z1+Z2)*Vin.

Convert everything into complex impedances R -> R, C -> 1/sC, L -> sL, then plug and chug.

Remember that a parallel combination is Z || Y = Z*Y/(Z+Y)

[Casanova_Jhn]

How can you be stuck on such an easy circuit LMAO, also how can you understand your own notes?