Question

In: Electrical Engineering

Design a 3-pole Butterworth low-pass filter with a DC gain of 5 and a -3db frequency...

Design a 3-pole Butterworth low-pass filter with a DC gain of 5 and a -3db frequency of 550Hz.

design should use capacitors of the following values:

0.01uf, 0.022uf, 0.033uf, 0.047uf, 0.056uf, 0.1uf, 0.22uf, and 1uf.

Solutions

Expert Solution

BUTTERWORTH FILTER IS AN ACTIVE HIGHER ORDER LOW PASS FILTER.

frequency responce

VOLTAGE GAIN (PRACTICAL)

20*log(A)=14.02

so A=10 ^(14.02/20)=5.02

HENCE WE GOT OUR DESIRED GAIN.

-3DB FREQUENCY (CUT OFF FREQUENCY)

FROM PLOT=341 Hz.

HERE WE HAVE GOT LESS VALUE THAN OUR DESIRED VALUE WHICH IS DUE TO SOME EXTERNAL EFFECTS OF CAPACITANCES.


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