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Example-2

Example-2
  1. Design a high-pass active filter of cut-off frequency 1 kHz with a pass-band gain of 2.
  2. Plot the frequency response of the filter.
Solution
  1. Here, fc = 1kHz, AF = 2
     
    Let, C = 0.01 μF.
     
    ∴ R = Description: 5020.png = Description: 5041.png = 15.9 kΩ
     
    ∴ AF = 2 = Description: 5068.png ⇒ Rf = R1 = 10 kΩ
     
    So, the complete circuit is shown in Fig. (a).
Description: 1655.png
(a) Circuit of Example (2)
  1. The data for the frequency response plot can be obtained by substituting the input frequency ( f ) values from 100 Hz to 100 kHz in the equation.
     
    Description: 5075.png = Description: 5100.png
Description: 5089.png
(b) Filter characteristics of Example (2)
 
Frequency (Hz) Gain Gain (in dB)
100 0.20 –14.02
200 0.39 –9.13
400 0.74 –2.58
700 1.15 1.19
1,000 1.41 3.01
3,000 1.9 5.56
7,000 1.98 5.93
10,000 1.99 5.98
30,000 2 6.02
100,000 2 6.02




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