(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

3. 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Band Pass Filter Transfer Function Analysis

**Physics Forums | Science Articles, Homework Help, Discussion**