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12.18 Find the transfer function G(0) using the Bode magnitude plot shown below. Hw G/dB) -20 dB/decade 40 20 100 20 (rad/s)
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# Solution G(dB) 40 CTnd/s.) 20 100 20 yobserving 1st slope it is we wno storting from 20 do re ce Amd st slope is parallel t-20 dbldec 20 2 dbldee to t20 dbldec. yobserving 2nd sope itAoon up from we maw whn slope aoes upside it is ero. when Slope gPating sjes im 10(jwt 2) G(iw)= Gja+20)(iat1o0) (i) Fc10nf Pppiying Kel TRttIc V + R + 1 1 V Vijwc V +Jwc VtJuwe (wc-) COL Ifragumny curment tosin At Yesonamce twroyh tue cisuit minimum for in we hore to obtain Yin Y 30 and at resemance impedemce maResonamce frea, 1 25 VoIX103 X (OX16-9 F159.23 H2 Resomonu freg of tue circit, 159 23 KH2 Suality facter grain Arply Kcl dv dstamdard equaton, De Knos the equation eq cü) Stomd ard to Commparing amd 2gwn=RC 1 RC NLC VLC 2RC . 2R O.1X10-3 X 2X2XI0 1ox

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