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how to calculate cutoff freq for cascade RC filter?

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zhangseong

zhangseong

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cascaded rc filters

i want to ask how to calculate cutoff freq for cascade RC filter

for simple low pass filter transfer function will be 1/(1+jwRC)
cutoff freq equation is w= 1/RC
that's for basic 1 resistor and 1 capasitor low-pass filter


so if i got a cascade RC network... how can i calculate cutoff freq?


issit assume cutoff freq always happen when magnitude |H(jw)| = 1/cert2?
 

cascade rc filter

Since the two filters are in cascade, the frequency response of the combination is the product of individual frequency responses.

eg: H(w) = 1/(1+jwR1C1) * 1/(1+jwR2C2)

If you know the values of R1,R2,C1,C2 the plug those into this equation and simplify it to get something that looks like H(w) = 1/(1+jwRC)

now you net cut off frequency will be 1/RC.
 

cascaded rc filter

Hi,
Each cascade stage will contribute one pole in the overall sytems performance.
The freqeuncy response depends on which stage contributes the dominant pole.

thanks
sarfraz
 

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