Op Amp transfer function and poles:3.1 The circuit in Figure 3 behaves in a manner very similar to an RLC circuit.a) Write the node equations.b) Assume va = Vest, vB = Vjest, and find the characteristic equation.c) Find a and w, in terms of C1, C2, G1,G2.R2wwwC1• voR2Figure 3 :Note:1) Assuming ideal Op Amp with infinite gain A=0, i.e., VB=Vo, i,=i.=0.2) The Laplace expression of the impedance of capacitor C is given by Z=1/(sC), with s=jw.3) The two nodes of sub-problem a) are node A and node B. Write down the KCL equations for thetwo nodes.4) The characteristic equation of sub-problem b) above is defined as H(s)=v/v=V/vj.5) a and w are the imaginary part and real part of the poles of the denominator of the transferfunction H(s).

Given: The circuit in the figure below behaves in a manner very similar to an RLC circuit: To find:…

Op Amp transfer function and poles: 3.1 The circuit in Figure 3 behaves in a manner very similar to an RLC circuit. a) Write the node equations. b) Assume va = V,e“, vn = Vyc", and find the characteristic equation. e) Find a and w, in terms of C1,C2, G1,G2. www- vo Figure 3 : Note: 1) Assuming ideal Op Amp with infinite gain Amr, i.e., vevo, kai=0. 2) The Laplace expression of the impedance of capacitor C is given by Z=1/(sC), with s-jua. 3) The two nodes of sub-problem a) are node A and node B. Write down the KCL equations for the two nodes. 4) The characteristic equation of sub-problem b) above is defined as H(s)=v,/v=vdv. 5) a and w are the imaginary part and real part of the poles of the denominator of the transfer function H(s). w H

Op Amp transfer function and poles: 3.1 The circuit in Figure 3 behaves in a manner very similar to an RLC circuit. a) Write the node equations. b) Assume va = V,e“, vn = Vyc", and find the characteristic equation. e) Find a and w, in terms of C1,C2, G1,G2. www- vo Figure 3 : Note: 1) Assuming ideal Op Amp with infinite gain Amr, i.e., vevo, kai=0. 2) The Laplace expression of the impedance of capacitor C is given by Z=1/(sC), with s-jua. 3) The two nodes of sub-problem a) are node A and node B. Write down the KCL equations for the two nodes. 4) The characteristic equation of sub-problem b) above is defined as H(s)=v,/v=vdv. 5) a and w are the imaginary part and real part of the poles of the denominator of the transfer function H(s). w H

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

Op Amp transfer function and poles:
3.1 The circuit in Figure 3 behaves in a manner very similar to an RLC circuit.
a) Write the node equations.
b) Assume va = Vest, vB = Vjest, and find the characteristic equation.
c) Find a and w, in terms of C1, C2, G1,G2.
R2
www
C1
• vo
R2
Figure 3 :
Note:
1) Assuming ideal Op Amp with infinite gain A=0, i.e., VB=Vo, i,=i.=0.
2) The Laplace expression of the impedance of capacitor C is given by Z=1/(sC), with s=jw.
3) The two nodes of sub-problem a) are node A and node B. Write down the KCL equations for the
two nodes.
4) The characteristic equation of sub-problem b) above is defined as H(s)=v/v=V/vj.
5) a and w are the imaginary part and real part of the poles of the denominator of the transfer
function H(s).

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