Question

Question 2: Active Filter Vict) R{ VE 611 R} Volt - No values are given Ô Find Transfer function H(s) = 1. (s) Vico) ③ What type of filter implemented here? Band Pess © Find R, Ra, Ro, Vx , Vi , Vy where all Rs are equivalent (exclude Ra : Rp) such that wo = 10000 IH(sw) 1:10 a 200000 -

Answer 1

A)

From figure,

V. (t) = Vit)

Applying the node equation at + terminal

Vi(t) – 0 vi(t) – Vy - 0

2V (t) Vy R

V = 2Vit)

Applying node equation at - terminal, we get;

Vi(t) - 0 RA Vilt) – V, 90 Ro

Vj = Vi(t) Ra+R

Applying the node equation at the output;

V - Va(s) 4 1,5 V6 4 V, - vils) = 0 RO

Volant + C) – vi(me Rit +C) + ha = SOV

Vi(t) Ra + Ro R+Rb + SCRR Ro) - V;(s)( K) = $CV RIG RR RRD

(Ra + Ry) (R+R + SCRR) - RR - RR Vit) R RR

v;(GRRo + R$ + $C'RRoRa + sc RR} – scV R RR

R+ Rb + SCRRa + SCRR Vi(t) RAR =sCV

Vi(s) Vo(s) SCRR R+ R + SCR(Ra + R)

The transfer function is

H(s) – Vi(s) SCRR R+R + SCR(Ra + R) Vo(s)