1. For the following filters, assume the op-amps are ideal.i. Derive the transfer functions, T(s)ii. If R₁ = 10k, R₂ = 100kN, C₁ = 1 µF, C₂ = 0.1 μF, L₁= 1nH,and L₂ = 1µH, plot the magnitude and phase responses ofeach filter. VINOC₁HHR₁R₂(c)-OV OUTVINR₁Hμ+²2releL₂(d)-OV OUT

Answered: Image /qna-images/answer/e7920a18-5ca0-4691-a29a-e4d2455c2566.jpg

1. For the following filters, assume the op-amps are ideal. i. Derive the transfer functions, T(s) ii. If R₁ = 10km2, R₂ = 100k, C₁= 1 μF, C₂ = 0.1 μF, L₁ = 1nH, and L₂= 1µH, plot the magnitude and phase responses of each filter.

1. For the following filters, assume the op-amps are ideal. i. Derive the transfer functions, T(s) ii. If R₁ = 10km2, R₂ = 100k, C₁= 1 μF, C₂ = 0.1 μF, L₁ = 1nH, and L₂= 1µH, plot the magnitude and phase responses of each filter.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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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

1. For the following filters, assume the op-amps are ideal.
i. Derive the transfer functions, T(s)
ii. If R₁ = 10k, R₂ = 100kN, C₁ = 1 µF, C₂ = 0.1 μF, L₁= 1nH,
and L₂ = 1µH, plot the magnitude and phase responses of
each filter.

VINO
C₁
HH
R₁
R₂
(c)
-OV OUT
VIN
R₁
Hμ
+²2
rele
L₂
(d)
-OV OUT

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Assume the op-amps are ideal for the filters that follow.Now; Determine the transfer functions, T(s). ii. Plot the magnitude and phase responses of each filter if R1 = 10kΩ, R2 = 100kΩ, C1 = 1μF, C2 = 0.1μF, L1 = 1nH, and L 2 = 1μH.