Find the transfer function T(s) of a third-order all-pole low-pass filter whose poles

Chapter 17, Problem 17.5

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Find the transfer function T(s) of a third-order all-pole low-pass filter whose poles are at a radial distance of 1 rad/s from the origin and whose complex poles are at 30 angles from the j axis. The dc gain is unity. Show that |T(j)| = 1/1+6. Find 3dB and the attenuation at = 3 rad/s.

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