Consider the three-op-amp circuit in Fig. P5.6. Writing equations at nodes a, b, and c, determine the transfer function T = V₂/V₁. Show that when R₂ = R3, the filter becomes a notch filter, while when R₂ =-2R3, the filter is an allpass one. Show that design can be accomplished by the choices C₁ = C₂ = 1, R₁ = 1/Q, and R₂ = Q.

Consider the three-op-amp circuit in Fig. P5.6. Writing equations at nodes a, b, and c, determine the transfer function T = V₂/V₁. Show that when R₂ = R3, the filter becomes a notch filter, while when R₂ =-2R3, the filter is an allpass one. Show that design can be accomplished by the choices C₁ = C₂ = 1, R₁ = 1/Q, and R₂ = Q.

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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Concept explainers

Filter

A filter is a device or process which removes some of the unwanted features or components like frequencies from a signal in signal processing. The feature of filters is the complete or partial suppression of some part of the signal, and filtering is a class of signal processing. This most often means removing some frequency bands or some frequencies. In the frequency domain, the filters do not exclusively act, especially in the image processing field many other targets for filtering exist. Without having to act in the frequency domain, the correlations can be removed for certain frequency components and not for others. The filters are widely used in electronics and telecommunication, in television, radio, radar, audio recording, music synthesis, control systems, computer graphics, and image processing.

Question

5.6 Consider the three-op-amp circuit in Fig. P5.6. Writing equations at nodes a, b, and c,
determine the transfer function T= V₂/V₁. Show that when R₂ = R₁, the filter becomes a
notch filter, while when R₂ = 2R3, the filter is an allpass one. Show that design can be
accomplished by the choices C₁ = C₂ = 1, R₁ = 1/Q, and R₂ = Q.
6+1=1
R.
R₁
R
C₂
Rz
R ₂
WORKERS
b
R3
€₂
FIGURE P5.6
V₁
R3
FERRACIAL
R₂
+6

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