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(a) Design a 2nd order Sallen and Key low pass active filter with the following characteristics:
Nominal Cut-off Frequency: 1.6 kHz
Variable Gain: 0 to 7.5 dB
You may assume that R1 = R2 = R3 and that C1=C2.
(b) Simulate the frequency response for the designed active filter for five values of gain in the range 0 dB to 7.5 dB. Comment on the variation in the cut-off frequency and Q-factor of the variable gain filter.
(c) Build the designed active filter using the μA741 operational amplifier and via a time domain approach show that the response of the filter changes from overdamped to underdamped, with an increase in filter gain. Explain this phenomenon.
Q. Considering the circuit shown in Figure, sketch v(t) and the energy stored in the capacitor as a function of time.
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