Transfer function of a circuit with a resistor, capacitor, and coil

[Femme_physics]

Homework Statement

http://imageshack.us/photo/my-images/248/bbquestion.jpg/

Find the transfer function, Vout(s)/Vin(s)

The (s) signifies the laplace plane

Homework Equations

http://imageshack.us/photo/my-images/221/bb2up.jpg/

The Attempt at a Solution

I'm keenly aware there is an error here (at least from comparing with the answer sheet). Can you tell me where I went wrong?

http://imageshack.us/photo/my-images/69/bb1io.jpg/

 

[gneill]

The voltage divider approach is fine, but pay close attention to where the output voltage is being measured; it's not using the ground (source -ve terminal) as a reference...

 

[Femme_physics]

Oh! I used this formula so mechanically already that I forgot what it does and how it functions! Huh... there you go :-)

http://imageshack.us/photo/my-images/7/credi.jpg/Much obliged gneil! Good to know you're (and Nascent!) are still here and kickin' it strong! :)

 

[gneill]

Much obliged gneil! Good to know you're (and Nascent!) are still here and kickin' it strong! :)

You're very welcome, FP.

 

[rezeew]

I would first clarify the context of this problem. Is it a circuit in AC or DC? Is the resistor, capacitor, and coil connected in series or parallel? What is the purpose of finding the transfer function? This information is crucial in order to accurately determine the transfer function.

Assuming it is a series AC circuit, the transfer function can be found by using Kirchhoff's voltage law and the impedance equations for a resistor, capacitor, and inductor. The transfer function will be in the form of Vout(s)/Vin(s) = (ZC/RL)/(1 + ZC/RL), where ZC is the impedance of the capacitor and RL is the impedance of the resistor and inductor in series. This can then be simplified based on the specific values of the components in the circuit.

If the circuit is in DC, the transfer function will simply be the ratio of the output voltage to the input voltage, as there are no complex impedances in a DC circuit.

In conclusion, without further information about the circuit and its purpose, it is difficult to determine where the error may have occurred. It is important to understand the context and assumptions made in order to accurately solve for the transfer function.