Question

Create a third order Butterworth low-pass fitter fc=ω/2μ c=2000 Hz, Gain is 100

Plot bode plots for mag and phase of the frequency respone function

Answer 1

A third order Butterworth low-pass filter allows low-frequency signals to pass through while attenuating higher frequency signals. The transfer function can be used to plot the Bode plots for magnitude and phase of the frequency response function.

Step-by-step explanation:

A third order Butterworth low-pass filter is a type of electronic filter that allows low-frequency signals to pass through while attenuating higher frequency signals. In this case, the cutoff frequency (fc) is 2000 Hz, which means that signals below this frequency will pass through with minimal attenuation. The gain of the filter is set to 100, which determines the amplification of the signals.

To plot the Bode plots for magnitude and phase of the frequency response function, you can calculate the transfer function of the filter using the given parameters. The transfer function for a third order Butterworth low-pass filter is:

H(s) = K / ((s/w)^3 + 1.732(s/w)^2 + 3(s/w) + 1),

where K is the gain of the filter, s is the complex frequency variable, and w is the cutoff angular frequency given by w = 2 * pi * fc.