Question

2. Sketch the Bode straight line plots for magnitude and phase. a) H60) = a[i*3 (veja) b)H(s) og 10 (14 j k loo) (j +5.000) jw

Answer 1

Slope of 2. sketch the Bode stright line plots for magnitude and phase. * Before Isolving the problems We Need to know some concepts to draw the Bode Staight line plots. 10 If the pole is present at the origin the Berle pa magnitude plot is started with-2008 dec and phase plot is started with – 98. © If the zero is present At the origin the Bede masnitude plot is started with slope of +2008 dec and phase plot is started wita +90. 3 If No poles (or) zeros present at the Lorigin the magnitude plot is started with constant k, and phase plot is started with 8. @ The masnitude At Initial can be found by substufing W=01(03) 0.01,

31 . To Draw the Bode plot Function should be in the TES) = sh(it ) the Transfer form of Melts Ti, Tz are corner Freulencies. and we have s=;w] kle have. الى * - ايه )H 2(1+34) (1+34 substule s=jw +(8) = 5 2017 ) (1+ INCENNES » one zero At origin so magnitude plot is started with trodeldec, and phase plot is I started with +98. H 10, 100 are corner Foeruencies. I magnitude At Initial substule W=0.) in masnit.de Form.

0.500 VHM Woo 110 100 Alwzoru magnitude of ticas 14469)]z 2 + ² View 2 ) Masri-lede in decibels 2010g (0.5) +2010g (W) -A1 w=0.1 => 20109 (0.5) +2010g (0.1) => -6.020 -20 => - 26.0 20. in The Initial value is -26.020 At corner frequency 10 she slope becomes odeldes, because lo is pole. so -20dB/dec is Added with previous +zodb lec. so toval slope is Odblader ->similarly cornes Frewency 100 is also present ån the poles , so -20delbe is Added with previous todeldec. so total -2018 | dec. - - -

a magnitude plot Amando. - mu -zodeldee er HE70 +2cole la / 10 100 |-26.02.0 phase plot. 10 loo _-96 -188 by HW) = 10(1 + jho (i+1)(1+36 1000 No poles (or) zeros at ongin so No starting slope. Constant line with magnitude to corner Frequencies 30, 200, 1000 vnd see.

H(W) = 10(1+34 ) 200 IlH(CO)) = 10 At w=01. t From the problem <ax conclusions Bale pot for HW) = 10(i+ 3400) (it se on (1+1000) Magnitude plot Im Moon 10 L todeldec -2013 dec 1000 200 0 30 +0dBldec --zodeldec phase plot 200 1000 0.1 24 -98