Question

VO Problem 1 (25 Pts) Consider the OP amp circuit shown below with R = 100k12 and C = 1(10)-5 F: Part a) 10 pts Find the complex transfer function for the circuit in terms of frequency f (Hz). Vi Part b) 5 pts Compute the gain of ko at as a function of frequency f (Hz). Part c) 10 pts Compute the corresponding gains at 100, 1000, 10000 Hz. Vi R BR 5R с Vi - Ve

Answer 1

One giren Rz look -5 C = 10 R 3R Vils) 5R + Vols) here 3R + Vols) R I+SCR - Vin(s) 5R Vols) 3 + 1 IESCR itsee) 11 Vin 13 ) 4+3 SCR ilan 5 ISOR -5 3 Vols) 4 + 3x $X101 Woono - iles Vinus) 1 + 5 x 10-5 X 105 Vols) = 4 +35 ilan Ninis) 5 (1+5) so S=jall f Voljane) = 4+ 3 x 1211 1+) all Vin 18 ) ilm Complex fosquenes 5 Jom.

E: magnitude volj2nf ) 16+(6112 GJ- Vin(jarf) 1+ 41²f² magnitude of frequey domain response Cini va Vin 16+1 GXFT X 100)? ul at f=loone -14 4714(100) Vo 0.60 Ans Vin f=10002 Vo 16+(6xHx1000) Vin 1] GI at f=1000 1+ 4072x (1000) Vo clave 0-60 Jat f=1 =1000HZ Vo - Vio 16+ ( 6X X 10000)? 5 at f=1 1+ 412x (1000092 10000 Vo 0.60 lin f lo KHz 30 It is a Ligh pass filter