(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



* 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 |
(a.2) Find the theoretical cut-off frequency (3 dB). Fill in the table of item VI.a for...
3. For the active filter circuit below, complete the following: a) Find the magnitude of the transfer function | H | starting from the nodal equations. b) Find the phase shift of the transfer function (W) c) Find the cutoff frequency fc in Hz d) Is this a high pass or low pass filter? e) Find the passband gain of the filter 62 k2 ANA EVA 22 nF 3.3k f) Given the following input signal: vi(t) = 1.0 sin(2nft +...