Question

Problem 1 (25 Pts) Consider the OP amp circuit shown below with R = 100kN and C = 1(10): Parta) 10 pts Find the complex transfer function for the circuit in terms of frequency f(Hz). Part b) 5 pts Compute the gain of at as a function of frequency f(Hz). Parte) 10 pts Compute the corresponding gains at 100, 1000, 10000 Hz. R 3R 5R Vå w V

Answer 1

R= 100 KR R Vi(s) + 1] SR - magn frequency (= 10-5 F 3R SR Vo(s) 3R + R Vo (S) I + SCR Vin (5) Vo(5) (3 titsce) - 5 4 + 35CR Vin (S) I + SCR 5 Vo(s) 4*+ 3 x 3 x 10's xloo x 103 Vin (5) It of x 10-5 X 105 Vo(s) 4 + 35 Its 2TT 4 + 3 xj ? 2T F Complex transfer ZIf function in terms of frequency 2] 16 +(617f} 1 + 417252 of response. 5 ut Vin (5) Şoj 217f Vo (j 2n1f) Vin (9) tus 17 ] Magnitude vo (22116) Vinijame) 1 CS Scanned with CamScanner

3] 16 + (6 TT X100) vo Vin l@fs 100 Hz V let - 100 HZ ut 5 1+ 412 1002 0.6 vo Vin! f = 100 Hz Ś v 16 + (6 TTX1000) 1+ 4112 x 10002 Vin @f - 1000 l volt Vo Vin 0.6 f=1000 Hz 16 + (6 TTX10,000) Ś V T+ 4112 x 1.00002 vor malet Vo Vin @f: 10,000 levole 0.6 vo Vin /f = 10,000 CS Scanned with CamScanner