Question

QUESTION #2 PLEASE

1. Derive the transfer function for the circuit shown below. Plot H(s) versus frequency in Hertz, on a semilog scale. Ri 11.3 k Ri 22.6 k R R = 68.1 kN R3 C C 0.01 uF R2 Vout(s) Vin(s) C2 10 (s+5) H(s) = (s+100)(s5000) , (a) draw the magnitude Bode plot 2. For the transfer function and find the approximate maximum value of (H(jw) in dB, (b) find the value of w where 1 for w>5 rad/sec [you can use ltspice or Matlab to verify the plot done by Hjw) hand].

Answer 1

Given Transfer function - H(S) = 105 (5+5) (5+100) (5+5000) H (W) = 10% (W+5) (W +100) (w +5000) Do gain at wro - 20109 (105(5)) T Toox sowo = 0. يعمعمعهد ك ما *** 5000 = oo rod\ = دليلكه - first zero occurs at wi=5 rodi's then pole occurs at w = 100 radís again pole occurs at Wz = 5000 rad/s. - DC gain (at w=o) = odp. . Hence the bode plot will come as below please note that the change in slope at each zero I Tipecanzeelovilalder and at each pole it is_-zode fleste CamScanner

Bode plat +208 Bldes - 2008 dec How = 10$ (jW+5) - iw tioc) (iw +5000) I Hiw)| = to calculate the w at Howite ! los Swr+gr น sysb : +(Spoo) - a. 100 w1+25) = [w+ 10000 CW+25000ooel - 10 w +25x100 = WY +104 + 25x16f) w + 25x10 2 Scanned iw = w [W + (104 +25xios ] CamScanner

w - - thotrexit = 100 w - 100 - 10" - 25x100 w = 99874.87 rad/sec. - at which I How 1=1 Hence the value of w cs Scanned with 998374.82 rodis. CamScanner