Voltage transfer functuon of network

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The discussion centers on a voltage transfer function issue, where a user questions the inclusion of the s/RC term in their calculations. Responses indicate that the term should indeed be present, but highlight a mistake in not adjusting the voltage V1 when converting the first resistor and capacitor to impedance Z. The conversation suggests using Thevenin equivalents for both impedance and voltage to correct the error. Additionally, there is a recommendation to consider writing nodal equations instead of using a series-Z approach. The focus remains on clarifying the correct method for analyzing the circuit.
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I don't have access to computer right now so here's the link to my working

http://tinypic.com/r/2nhowoo/5
.
According to the answer I shouldn't have (s/RC) term on the numerator, otherwise all good.

Can anyone please point out where i have gone wrong?
 
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You are going to post your image sideways to make it hard to read? I'm not going to bother.
 
[STRIKE]Your math looks okay to me. The s/RC term should be there.[/STRIKE]

EDIT: I take that back! When you converted the first resistor and capacitor to impedance Z, you didn't also adjust V1 accordingly. Essentially you are taking the Thevenin equivalent of v1 and the first R/C section. You need to find both the Thevenin impedance Z and the Thevenin voltage that replaces V1.
 
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A strange approach, trying to replace the first R-C section with a series-Z.

Why not just write nodal equations?
 
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