1000s s2+500s+40000 Design a filter that has the transfer function H(s) 1) Please determine the filter type, the gain, the quality factor and the cut-off frequency from the transfer function; 2) Please draw the circuit diagram; 3) Please list your components and their values for the filter you designed. =
1000s s2+500s+40000 Design a filter that has the transfer function H(s) 1) Please determine the filter type, the gain, the quality factor and the cut-off frequency from the transfer function; 2) Please draw the circuit diagram; 3) Please list your components and their values for the filter you designed. =
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
Can you solve the question using 1 1st order LPF and 1 1st order HPF in cascade? There is another similar example for this question and I want to solve it like that if possible. Thanks.
![H(s)
6s
-2
-3s
(s+1)(s+4) (s+1) (s+4)
So we can have 1 1st order LPE and 1 1st order HPF in cascade.
vj(t)
H =
R₂
R₁
=
=
www
R1
S+
R₂ 1
R₁ R₂ C₁
1
R₂C₁
2,
'R₂C₁
S+
= 1,
R4
R4 S
R3
1
R3 C2
R3
=
C₁
HH
R2
=
3,
Solution
1
R3 C2
+
= 4
R3
WH
C₂
R4
www
vo(1)
=
If we select R₁ = 50000, then R₂
and C₁ = 10-4F
100000,
If we select R3 = 25000, then R4 = 75000,
and C₂ = 10-4F](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F438f6a69-96aa-43f6-9378-2a8549e75b32%2F0162ea31-edee-4209-850c-3b9996c6c3ba%2Fsdyyxea_processed.jpeg&w=3840&q=75)
Transcribed Image Text:H(s)
6s
-2
-3s
(s+1)(s+4) (s+1) (s+4)
So we can have 1 1st order LPE and 1 1st order HPF in cascade.
vj(t)
H =
R₂
R₁
=
=
www
R1
S+
R₂ 1
R₁ R₂ C₁
1
R₂C₁
2,
'R₂C₁
S+
= 1,
R4
R4 S
R3
1
R3 C2
R3
=
C₁
HH
R2
=
3,
Solution
1
R3 C2
+
= 4
R3
WH
C₂
R4
www
vo(1)
=
If we select R₁ = 50000, then R₂
and C₁ = 10-4F
100000,
If we select R3 = 25000, then R4 = 75000,
and C₂ = 10-4F
![Question 4
Design a filter that has the transfer function H(s)
1) Please determine the filter type, the gain, the quality factor and the cut-off
frequency from the transfer function;
2) Please draw the circuit diagram;
3) Please list your components and their values for the filter you designed.
=
1000s
s²+500s+40000](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F438f6a69-96aa-43f6-9378-2a8549e75b32%2F0162ea31-edee-4209-850c-3b9996c6c3ba%2Fbi61yk4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 4
Design a filter that has the transfer function H(s)
1) Please determine the filter type, the gain, the quality factor and the cut-off
frequency from the transfer function;
2) Please draw the circuit diagram;
3) Please list your components and their values for the filter you designed.
=
1000s
s²+500s+40000
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