Question

pass filter, with a roll-off of TCO 6) For the filter below, if C.001ufd, this is a db/decade, and a cutoff frequency of L3 Tn Out 1k ik OPAMP 50k 10<

Answer 1

All we need is to obtain the transfer function Assuming an ideal op - amp V_out notequalto V_0 (labelled). V_- = V_0 times 10 k/10 k + 50 k = V_0 times 1/6 = V_- equation (1) Voltage dividend rule V_out = V_0 times 1 k/1 k + 1/sc = sc times 1k/sc times 1k + 1 equation (2) and V^+ = V_in times 1k/1k + 1/sc] equation (3) \r\n But v^+ = v^- v-0/6 = V_in times sc times 1k/sc times 1k + 1 equation (4) Therefore V_out/V_in will be = V_out/V_0/V_0/V_in V_out/V_0 times V_0/V_in = (sc times 1k)^2 times 6/(sc 1k + 1)^2 c = 0.001 mu F R = 1 k Ohm V_out/V_in = 6 times (s mu)^2/(s mu + 1)^2 equation (5) and s = jw implies V_out/V_in = -6 mu^2 w^2/1 - 6 mu^2 w^2 + j 2 mu w } equation (6) From eqn (6) V_out/V_in Vertical-bar _w = 0 = 0 V_out/V_in Vertical-bar _w = infinity