Chegg Solutions for Microelectronic Circuits (Adel S Sedra, Kenneth C Smith) (Z-Library)_parte_1905

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Step 1 of 2 17.076P Refer to Figure 16.31 in the textbook for the linear network. The circuit in Figure 16.31 reveals the interchanging input and ground results in a compliment of the transfer function. From the Figure 16.31 (a), the transfer function from b to a with c grounded is, From the Figure 16.31 (b), the transfer function from to a with b grounded is, Here, 1 is the transfer function of the network. Interchanging input and ground results in the complement of the transfer function. The linear network with input and ground interchanged is shown in Figure 16.31 (b) in the textbook. Refer to Figure 16.18 (d) for the band-pass filter with RLC components. If the linear network in the Figure 16.31 (a) is band-pass filter, then the transfer function of a band pass filter is, T (1) Here, Step 2 of 2 The center frequency gain is 1. The complementary function is obtained by substituting Therefore, = (2) The obtained complemented transfer function is same as the transfer function of the notch filter in the Figure 16.18 (e) in the textbook. Interchanging of the input voltage and ground in the band pass filter results the notch filter as shown in Figure 16.18 (e). The complement of the realization of second-order Band pass filter circuit is shown in Figure 16.18 (d) results a notch filter as shown in Figure 16.18 (e). Therefore, from equations (1) and (2), it is clear that complement of a band pass filter is a notch filter. Thus, the complement of a band pass filter is a notch filter.