Answer Happy

A 2nd-order resonant band-pass filter has a centre frequency of 1000 Hz and a quality factor of 3. Calculate the value of the filter's upper and lower -3 dB cut-off frequencies. Design a low-pass 4-pole Bessel VCVS (Sallen-and-Key) active filter with a cut-off frequency of 50 kHz. Draw the circuit and calculate all the component values (show all your calculations). Assume ideal opamps and use resistor values between 10 ks and 200 kN. Use Table 1 provided in the Supplementary Information Sheet (reproduced from 'The Art of Electronics').
Table 1 - VCVS Low-Pass Filters (from The Art of Electronics) Poles Butter- Chebyshev Chebyshev worth Bessel (0.5dB) (2dB) к Cn Cn K Cn к 2 1.586 1.272 1.268 1.231 1.842 0.907 2.114 к 4 1.152 1.432 1.084 0.597 1.582 0.471 1.924 2.235 1.606 1.759 1.031 2.660 0.964 2.782 6 1.068 1.607 1.040 1.586 1.692 1.364 2.483 1.908 2.023 0.396 1.537 0.316 1.891 0.768 2.448 0.730 2.648 1.011 2.846 0.983 2.904 8 1.038 1.781 1.024 0.297 1.522 0.238 1.879 1.337 1.835 1.213 0.599 2.379 0.572 2.605 1.889 1.956 1.593 0.861 2.711 0.842 2.821 2.610 2.192 2.184 1.006 2.913 0.990 2.946