- #1
Stef42
- 10
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Homework Statement
Given the coupled RC network shown below (see attachment), show that the voltage transfer function is
[tex]\frac{Vout}{Vin}=\frac{1}{(1-\omega^2C^2R^2)+3j\omega CR}[/tex]
Hint: [tex]\frac{Vout}{Vin}=\frac{V1}{Vin}\frac{Vout}{V1}[/tex]
Homework Equations
For Capacitor, [tex]Z=\frac{1}{j\omega C}[/tex]
General Potential divider equation [tex]Vout=\frac{Z2}{Z1+Z2}Vin[/tex]
The Attempt at a Solution
I find this all a bit confusing :( I know that the second filter is acting as a load for the first filter, so I know I just can't write
[tex]V1=\frac{1}{j\omega C}\frac{1}{R+\frac{1}{j\omega C}}Vin[/tex]
So would I need to combine the total impedance of the second filter with the impedance of the first capacitor?
Actually, could someone clear up impedance and reactance? For a capacitor reactance is
[tex]X=\frac{1}{\omega C}[/tex]
while its impedance is
[tex]Z\frac{1}{j\omega C}[/tex]
So if a resitor is connected in series, how/what would I combine to obtain the total resistance/impedance?
Any help would be appreciated, I think you can tell that my ideas are a bit muddled :s
thanks
SG