Question

Asap please, I willl upvote

If the input impedance is defined as Zin = Vs/s, find the input impedance of the op amp circuit given below when R1 = 20 kN, R2 = 20 kn, C1 = 10 nF, C2 = 20 nF, and w = 5000 rad/s. Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees C R R2 w w -oV V C Zin The value of Zin ko

Answer 1

JX5oooxlox 109 Sol - Xcia Xol If IWC Vo - 20000 vo Rp Up R22 Xc2=1 Is Ous guce = Jxsöport Jx5800x20x109 Xca Xc2=-10000] Zin pain ku at node Vevo Vparo + Vp- Vs RI + R2 Xci Vo vel & the ) - toks) Vs Ri + R2 ACI Vs e(tack te 2ok vo aok -20kJ cok VP ( 1 +1 +1) = Vs +vo + VOJ VP ( 2+5) z Vs + Vo + VoJ point ② kuat Ve Vo vo R2 X C₂ Vo Vp-vo 2ok - lokJ VP - Vo 2JVO Voz Ve T+2g (2

from egn putting to value in ear Vp (2+J) VP ( 2+1) = Vs + Vo (19) Vs + VP (145) 1+27 Vp (2+5 -(0.6 -0.2J)) = VS Vel 2+-0.6 +0.2T) = Vs Vp (1.4 +12 J) = Vs 3 Is- Vs-VP RI from ean ③ VS Is= Vs (1.4+1-20) 20 X 103 Is a Vs (I (1.4 +129) Heeg)) 20X103 Isa Vs (1-0.412 +0.3535) 20x103 VS IS =zins 20 Alo 3 0.588 +0.3531 zin = 29.162 L-30.980 kn