An active low pass filter is required. The filter should have a cut off frequency of 2 kHz and a 40 dB per decade roll off. A second order Sallen Key filter prototype, as illustrated in figure Q3(c), is used for this purpose. i. Explain briefly why a second order filter is an adequate choice here? ii. Express the gain Ao, the natural frequency on and the damping ratio ç in terms of the circuit elements R1, R2, R and C. ii. If R: = 10kn and C =10* F, what are the values of R and R2? %3D

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...
icon
Related questions
Question
Q3 c
c. The general transfer function of a 2nd order Butterworth active filter is:
Ao
H(s) =
+ 23 ) + 1
This filter can be implemented using a Sallen and Key second order filter section as illustrated
in Figure Q3(c).
R,
R2
ww
ww
Ov
R
ww
ov
Figure Q3(c)
The transfer function of such a structure is given by
Transcribed Image Text:c. The general transfer function of a 2nd order Butterworth active filter is: Ao H(s) = + 23 ) + 1 This filter can be implemented using a Sallen and Key second order filter section as illustrated in Figure Q3(c). R, R2 ww ww Ov R ww ov Figure Q3(c) The transfer function of such a structure is given by
R, +R2
Vout (s)
H(s) =
Vin (s)
(RCs)² + (3 – Ao)RCs + 1
An active low pass filter is required. The filter should have a cut off frequency of 2 kHz and
a 40 dB per decade roll off. A second order Sallen Key filter prototype, as illustrated in figure
Q3(c), is used for this purpose.
i. Explain briefly why a second order filter is an adequate choice here?
ii. Express the gain Ao, the natural frequency on and the damping ratio ç in terms of
the circuit elements R1, R2, R and C.
iii. If R1 = 10k and C =108 F, what are the values of R and R2?
Transcribed Image Text:R, +R2 Vout (s) H(s) = Vin (s) (RCs)² + (3 – Ao)RCs + 1 An active low pass filter is required. The filter should have a cut off frequency of 2 kHz and a 40 dB per decade roll off. A second order Sallen Key filter prototype, as illustrated in figure Q3(c), is used for this purpose. i. Explain briefly why a second order filter is an adequate choice here? ii. Express the gain Ao, the natural frequency on and the damping ratio ç in terms of the circuit elements R1, R2, R and C. iii. If R1 = 10k and C =108 F, what are the values of R and R2?
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Latches and Flip-Flops
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,