A dc gain can be incorporated into Butterworth lowpass filters by defining the transfer function to be HL s k D s where D(s) denotes the polynomials tabulated in Table 16.3-2 and k is the dc gain. The dc gain k is also called the pass-band gain. Obtain the transfer function of a third-order Butterworth low-pass filter having a cutoff frequency equal to 100 rad/s and a pass-band gain equal to 5.

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