Question

Draw the bode diagram for the following transfer function

· Draw the Bode Diagram for the following transfer function: H(s) = 100/(s + 30)

Answer 1

solution Giren that his = Loo (5 +30) Nowo, corner frequency existed W. < 30 yad /src · As no Pole or zero are dying at Oorgen staring slope - Starting slope = od Bl decade. Migla frequency asymptotic Bode clope = 1P-21(-2008 Medec = (1-0) (-20) dB/dec =-2003) decade Now, Let deast corner frequency to be occf = 0.1 had see a Gain at least corner frequency - TH(@)! = po dogk + n(cologio) -0 WELCA Here 'n' is the no. of integrator/ differentiater in a system 't' for differentiator - for integrans Here (n=0) " Calculation of K (for woo) Now K = 100 = 1013 o ihwel = dolog (10(3) - W=0.10/30 = 10.45 dB

* 11, tijos a conosco obrain magnitude and phase of the Transfer fmoon - Thow)= 100 ✓ 30² two magnitude in de a) pol@gol te jos phase of Helio) = 6 = -tan (wo) Tawa't some

Yabulating the data for magnitude and phase for different 'W' - w op 10 tot 303 ... -200B AB - 10:45dB -0.3740B 10.45 dB 10dB 0.19° 1.9090 -18.43° -43.30° -88.200 .- and so on- Sketching the Bode Pest - 1o y5dBi odB 4.90 -O-3140B - 6-73.309 - -- -200B - - --- - + 10 10 해 ㅜ ㅎ h - 103 7W (cogscale) (log scale) (Magnitude Plot) (Phase Plot) Answer