Question

Problem 1: (Analog circuit analysis) Determine the transfer function of the circuit in Figure 1 from Vin to Yout using the Laplace transform. Assume that the op amp is an ideal op amp. CE 15p CI tut 52 52 AD8051 w Figure 1 Vour(s) - 2 Vin(s)

Answer 1

* Given that a anolog circuit of op-amp C2 = 15 PF ㄱ REIKI www R2=1634 wwwN = 0 THE www Ry=500 - Vout Vors) & Rg=sor & R₂ = 1 kr We have find the transfer function of given Fig. Vout (s) – ? Vin(s) To find the Transfer function we will apply KCL at node As the op-amp is ideal so it follows V = v . v=up 4 v=0 so vp = 0 By Applying KCL at node P. Vin(s) - 0 = O-Vocs) + 0- Vols) Rz 1c,s t sgtge R + c cs

Vin (s) - Vo(s) +cas) Vois) = - VES (Rt 155) (+) And the Vout we apply voltage divider rule at output end. VoCE) = vo's). Corso] [Karte] -By Putting value of voless Vo(s) = 1 Vin (S) Egn (R* ] [#+48] By putting the values of R, R₂, C, e in Ear Man (conditioning to 7 1549 vinky (1 blators + 161345 + tsere] Vo(s) 0-5 Vols) - 0.5 Vinke) (1 156189) + tous + 1*1*13 - This is the transfer function of given system.