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pcrmx
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Homework Statement
A band Pass filter is given with the following configuration, R-Resistor, C-Capacitor:
See Attatchment 1 - Circuit.jpg
https://www.physicsforums.com/attachment.php?attachmentid=16241&stc=1&d=1225999965
R1 = R2 = 10 kΩ
C1 and C2 are unknown
Cut off Frequencies are: F1 = 180 Hz, F2 = 5500 Hz
Homework Equations
The Attempt at a Solution
The transfer function derived is below:
see Attatchment 2 - tf.jpg
https://www.physicsforums.com/attachment.php?attachmentid=16242&stc=1&d=1225999965
I have been informed that it can be assumed that ([C2 x R2] / C1) can effectively = 0, due to the fact that at the centre frequency the circuit effectively becomes a voltage divider, and at this point the gain would equal 1.
However I am unsure of how to derive the values of C from there, I have attempted to do make ([C2 x R2] / C1) = 0 and then put in values for omega, twice, once for each value of omega, and then tried using simultaneous equations to solve the c values, but with their being 2 values for omega I am getting stuck at a few points.
Any help would be greatly appreciated, thanks.