a) Use 20 nF capacitors in the circuit in Fig. 15.26 to design a bandpass filter with a quality factor of 16, a center frequency of 6.4 kHz, and a pass-band gain of 20 dB.
b) Draw the circuit diagram of the filter and label all the components.
Problem 1
a) Show that if the low-pass filter circuit illustrated in Fig. 1 is scaled in both magnitude and frequency, the transfer function of the scaled circuit is the same as Eq. 15.1 with s replaced by s/kf, where kf is the frequency scale factor.
b) In the prototype version of the low-pass filter circuit in Fig. 1, ωc = 1 rad/s, C = 1F, R2 = 1 n, and R1 = 1/K ohms. What is the transfer function of the prototype circuit?
c) Using the result obtained in (a), derive the transfer function of the scaled filter.
Figure 1
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