Question

(a.2) Find the theoretical cut-off frequency (3 dB).
Fill in the table of item VI.a for the theoretical values.
Choose frequency values starting a decade below
cutoff frequency up to a decade higher on a logarithmic scale. Or
that is, if the cutoff frequency was 77 Hz, your choice would be f =
(7, 8, 9, 10, 20, 30, 40, 50, 60, 70, 77, 80, 90, 100, 200, 300,
400, 500, 600, 700) Hz. consider in the circuit
of Fig. 1, R = 3.636 kΩ

V wide 4 Vpn Figura 1

Valores teóricos Valores computacionais Valores experimentais v ( v (f) saida cia (Hz) vf entrada Frequên- saida Ganho (dB) G

Valores teóricos Fase do filtro ( Valores computacionais Frequência (Hz) Valores experimentais Tabela 2 - Fase do filtro

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Answer #1

* The cut off frequency is

                                                            fcut = 1/(2*pi*R*C) = 43.77kHz

* Frequency range for calculation should be from 4.377kHz to 437.7kHz with total 20 points. Table for frequency, gain, gain(dB) and phase is shown below:

Frequency(kHz) Gain Gain(dB) Phase(degree)
4.375 0.995 -0.04 -5.71
5.575 0.992 -0.07 -7.26
7.104 0.987 -0.113 -9.22
9.052 0.980 -0.182 -11.69
11.536 0.967 -0.292 -14.70
14.700 0.948 -0.464 -18.57
18.73219 0.919 -0.731 -23.18
23.869 0.878 -1.131 -28.61
30.416 0.821 -1.712 -34.81
38.759 0.749 -2.516 -41.54
49.389 0.663 -3.569 -48.46
62.935 0.571 -4.870 -55.19
80.197 0.479 -6.390 -61.39
102.19 0.393 -8.100 -66.82
130.22 0.318 -9.930 -71.43
165.94 0.255 -11.870 -75.23
211.45 0.202 -13.870 -78.31
269.45 0.160 -15.900 -80.78
343.35 0.126 -17.970 -82.74
437.52 0.099 -20.040 -84.29
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