Voltage transfer functuon of network

[jmher0403]

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?

 

[phinds]

You are going to post your image sideways to make it hard to read? I'm not going to bother.

 

[gneill]

[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.

 

[rude man]

A strange approach, trying to replace the first R-C section with a series-Z.

Why not just write nodal equations?

 

[Nickie]

Thank you for providing your work and asking for feedback on it. After reviewing your voltage transfer function, it appears that you have made a small error in your calculations. The (s/RC) term in the numerator should actually be (1/RC). This is because when calculating the voltage transfer function, we are looking at the ratio of the output voltage to the input voltage, so the s term should be removed from the numerator. This small correction should fix your voltage transfer function and make it accurate. Keep up the good work!