Question

Exercise 3c: Given the following transfer function 10(1+ j0.10) (1+j100)/1+ j0.6(m/100)+(jo/100)) G(jo) 7 Sketch the Bode diagrams.

Answer 1

Due to the non-availability of the Logarithmic Graph sheet, I'm providing the Procedure to be followed for sketching the Bode Plot and the rough sketch of Bode Plot.

&) Sketch the Bode diagram For folie following bransjes function: Glöw) = 10(1+30.1.6) (14510w)(1 + 306(4.)+ ( homoy sel:- Step-1: Time constant form Put Sajo =) G(5) = 10(1+0.15) (1+105)(1+ 0 16 + () Step-2: % 10 - No corner frequency loo it'tos y Corner frequency - to = 0. 10) (1+0.15) -> Coaner frequency - han = 10 - Corner frequency=100 S. Nol Factor TCorner Frequency lo : ده | Slope Change in (deſdec) et dec) odeldecto dolec - 20deſde > 2odele +20 ds_bet -20 delle - 40dbdéc. -40 dede I+IOS لو [lto.is +0.65 + 100 ) 1 100 Cs Scanned with CamScanner - -40dBydlec

G کا Gx Gy - Grain at wa Gain at ww (logon , G₂) Slope . (logwy, Gy) Gut --- Gyf- - - t - t w wy > Equation of the line is : G= matc 1 Gy = Slope [ log (a + Ga Step-3: To find gain at the corner frequencies. . Let w=0.01 G(S)= 10 M-10 20log M = 20 log 10 = 20 dB Gooi = Oxlog (out) + 20 [Gooi = 20 dB W = 10; Gio = -20 log (10) +20 Gius -40 +20 Go = -20 dB 7 693 =100: Geco = 0 log ()-20 Scanned with 1100 CamScanner Gion -2nd

well loco: Glogo = -40 log (190) -20 Gooo = -60 dB | For Phase plot we have, Please sangle, $ 5 0 - Tamil Crowe) + Tankfortwo) Phoeemale ho Phase angle equation, tu Tan H 10.6o. $ - - Tan (cow) + Tai ( ) - Tan Go-wo) 0.01 -5165° -4446 -47.89° -951669 +2.900 Scanned with CamScanner

- 20 logu +60 del Odbla LLI. - 20dB <20dB/dec Po 1010 apo 594 - -20 dB -- -40det -600g + - - - - 4008 +--- - + - ---- ;- - -8d87----- - -- +48+ --!-- I T -- -- -T---+-- - - - 100 1000 16ooo Voodeldet - I - - - - - - + - +letogoles - 1 - t - -|- - - + -- I .-! - -----* - Fy-T -- --80dB + - - -Il- +90° + Mi-|-+- - - - - > 00 -45+ -- c5900fcanned with -135 fanseatla EF – - +-

Ignore the error points marked in the phase plot.