Question: 3. Consider the first-order low-pass filter given by G(s) where w (rad/sec) is the cutoff frequency. a. Develop an expression for the magnitude of the

3. Consider the first-order low-pass filter given by G(s) where w

3. Consider the first-order low-pass filter given by G(s) where w (rad/sec) is the cutoff frequency. a. Develop an expression for the magnitude of the frequency transfer function G(jo) b. Determine the cutoff frequency w such that the low-pass filter attenuates an input c. After finding wc, use MATLAB's bode function to draw the Bode plot of the filter. Verify expressed in decibels. frequency at100 rad/sec by 20 dB. your calculation by marking on the Bode plot that (i) at 100 rad/sec, you get 20 dB attenuation and (ii) at the cutoff frequency, you get 3 dB attenuation. 3. Consider the first-order low-pass filter given by G(s) where w (rad/sec) is the cutoff frequency. a. Develop an expression for the magnitude of the frequency transfer function G(jo) b. Determine the cutoff frequency w such that the low-pass filter attenuates an input c. After finding wc, use MATLAB's bode function to draw the Bode plot of the filter. Verify expressed in decibels. frequency at100 rad/sec by 20 dB. your calculation by marking on the Bode plot that (i) at 100 rad/sec, you get 20 dB attenuation and (ii) at the cutoff frequency, you get 3 dB attenuation

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