Question

5. Shown here is the time-domain depiction of a circuit containing an ideal OpAmp. a) Sketch the corresponding phasor domain circuit assuming that vę (t) = V cos(ot+0). NVcci b) Derive the phasor domain expression for the output voltage phasor, V. TO -Vcci c) Determine the time domain output voltage, v. (t).

Answer 1

for given Vy = Vo Cos (68+ + @) CNN t Ro V the frequency of cefaf ofzeration is w and phase is 0. a) Phasor equivalent Circuit where X c is impedance of ! cafbacitor. Xc = turi RR VOLOH WC b) For given circuit z o= R,x fuc, = R1 Zo = BI <-top [arc] Ritter ja city Itaa Rica aut put se = -20 or 8 = 20 og Ra

I 2. *) For time domain analysis. at node o the potential is a Zero, virtual short circuit it si bois 1. Lata and I = I2 +1, mas L = tvo VO 0 R, I, = - adve I = Vg=0/Ra = Valka

Raci ##®) = - The End ] -o Vo cos fut+) e thic = - Hoe thics + e teco do Multiply equation 0 by e tiroco both side. Rac L Rico [ey.c cosfe++)] = - to ethers] integrate bothside 207 - -ve Raci le FlRoco cos (wtto) to e tena - Ve [Rawson (wt+8) +RIG fos(wt+f) petang V = - Vo Cine (w sincwt to) the cos(botto)]