Audible hearing range spans from about 20 Hz to 20000 Hz. Design a Low pass filter (second and first order) such that the cutoff frequency will adequately attenuate the high frequencies above 20000 Hz and pass the low frequencies.

1. (1) Discuss your Circuits in the frequency domain (show all your calculations using phasor).

2. (2) Discuss your Circuits in the s-domain (show all your calculations using Laplace transform).

3. (3) Evaluate H(j!), H(s) and show that H(s) = H(j!), when s = j!.

4. (4) Evaluate |H(j!)| and \H(j!).

5. (5) Draw the Bode phase and amplitude (both in linear and dB scale) plot.

6. (6) Simulate your circuits.

7. (7) Test your circuit (by using theory and simulated circuit). Include a table that shows the following; Input frequency signal (test different frequency ranges), The Peak-to-peak value of input voltage, Peak-to-peak value of output voltage, Phase difference between input and output wave , Gain/Attenuation Factor and Gain/Attenuation in dB (Dont forget to discuss the difference between first and second order types).