a) Show that if the low-pass filter circuit illustrated in

Chapter 15, Problem 15.26

(choose chapter or problem)

a) Show that if the low-pass filter circuit illustrated in Fig. 15.1 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 , where is the frequency scale factor. b) In the prototype version of the low-pass filter circuit in Fig. 15.1,v C = 1 F, c = 1 rad>s R R1 = 1>K ohms. 2 = 1 , and What is the transfer function of the prototype circuit? c) Using the result obtained in (a), derive the transfer function of the scaled filter.

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