A loaded filter circuit is shown in the figure below, where R=5KS2; L=4H; C=4µF; R =20k2. R L a) What is the loaded bandwidth B = [Select ] of the system in rad/s? b) What is the value for the coefficient X = [ Select ] in the equation of loaded bandwidth (B) as a function of the unloaded bandwidth (Bu)? Where, ßL = X. Bu. c) What is the value for the (loaded) quality factor Q [ Select ] of the system? %3D
A loaded filter circuit is shown in the figure below, where R=5KS2; L=4H; C=4µF; R =20k2. R L a) What is the loaded bandwidth B = [Select ] of the system in rad/s? b) What is the value for the coefficient X = [ Select ] in the equation of loaded bandwidth (B) as a function of the unloaded bandwidth (Bu)? Where, ßL = X. Bu. c) What is the value for the (loaded) quality factor Q [ Select ] of the system? %3D
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![A loaded filter circuit is shown in the figure below, where R=5k2; L=4H; C=4µF; RL=20k2.
V;
C
L.
Vo
Rp
a) What is the loaded bandwidth B = [Select ]
of the system in rad/s?
b) What is the value for the coefficient X = [ Select ]
V in the equation of loaded bandwidth (BL) as a function of the
unloaded bandwidth (Bu)? Where, BL = X. BU.
c) What is the value for the (loaded) quality factor QL
[ Select ]
of the system?
d) What is the value for the coefficient A= [ Select]
Y in the equation of loaded quality factor (Q) as a function of the
unloaded quality factor(Qu)? Where, Q = A · QU
e) The values of cut off frequencies w1 and we2 are: ±
+ w ; where awo is [Select ]
Wc1
Hints:
Wo = 1/sqrt(LC)
Bandwidths of parallel and series RLC in rad/sec: Bp = 1/(RC), Bs = R/L. (Ris the equivalent resistance including the effect of the load resistance
%3D
R)
Q = wo/B
%3D
B = Wc2- Wc1
%3D
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<>
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce14ce64-19a9-4f67-904c-1624063a5915%2F6713abde-6ff7-458c-9ea6-7a0426d8609c%2Fmwd1ic_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A loaded filter circuit is shown in the figure below, where R=5k2; L=4H; C=4µF; RL=20k2.
V;
C
L.
Vo
Rp
a) What is the loaded bandwidth B = [Select ]
of the system in rad/s?
b) What is the value for the coefficient X = [ Select ]
V in the equation of loaded bandwidth (BL) as a function of the
unloaded bandwidth (Bu)? Where, BL = X. BU.
c) What is the value for the (loaded) quality factor QL
[ Select ]
of the system?
d) What is the value for the coefficient A= [ Select]
Y in the equation of loaded quality factor (Q) as a function of the
unloaded quality factor(Qu)? Where, Q = A · QU
e) The values of cut off frequencies w1 and we2 are: ±
+ w ; where awo is [Select ]
Wc1
Hints:
Wo = 1/sqrt(LC)
Bandwidths of parallel and series RLC in rad/sec: Bp = 1/(RC), Bs = R/L. (Ris the equivalent resistance including the effect of the load resistance
%3D
R)
Q = wo/B
%3D
B = Wc2- Wc1
%3D
<>
<>
II
![Vi
C
Vo
RL
a) What is the loaded bandwidth B = [Select ]
v of the system in rad/s?
b) What is the value for the coefficient X = [Select]
v in the equation of loaded bandwidth (B) as a function of the
%3D
unloaded bandwidth (Bu)? Where, BL = X. Bu.
%3D
c) What is the value for the (loaded) quality factor Q = [ Select ]
v of the system?
d) What is the value for the coefficient A= [Select]
[ Select
in the equation of loaded quality factor (QL) as a function of the
unloaded quality factor(Qu)? Where, QL = A · Qu
e) The values of cut off frequencies wc1 and wc2 are: ±
V
+ w ; where Wo is [
4
Select ]
WCc2
Hints:
Wo = 1/sqrt(LC)
Bandwidths of parallel and series RLC in rad/sec: Bp = 1/(RC), Bs = R/L. (R is the equivalent resistance including the effect of the load resistance
R)
Q = wo/B
%3D
B = Wc2 -Wc1
Wc1 = - B/2 + sqrt(B^2/4 + wo²)
Wc2 = +B/2 + sqrt(B^2/4 + wo²)
Wo = sqrt(wc1Wc2)
%3D
%3D
>](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce14ce64-19a9-4f67-904c-1624063a5915%2F6713abde-6ff7-458c-9ea6-7a0426d8609c%2Fdpa3z2h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Vi
C
Vo
RL
a) What is the loaded bandwidth B = [Select ]
v of the system in rad/s?
b) What is the value for the coefficient X = [Select]
v in the equation of loaded bandwidth (B) as a function of the
%3D
unloaded bandwidth (Bu)? Where, BL = X. Bu.
%3D
c) What is the value for the (loaded) quality factor Q = [ Select ]
v of the system?
d) What is the value for the coefficient A= [Select]
[ Select
in the equation of loaded quality factor (QL) as a function of the
unloaded quality factor(Qu)? Where, QL = A · Qu
e) The values of cut off frequencies wc1 and wc2 are: ±
V
+ w ; where Wo is [
4
Select ]
WCc2
Hints:
Wo = 1/sqrt(LC)
Bandwidths of parallel and series RLC in rad/sec: Bp = 1/(RC), Bs = R/L. (R is the equivalent resistance including the effect of the load resistance
R)
Q = wo/B
%3D
B = Wc2 -Wc1
Wc1 = - B/2 + sqrt(B^2/4 + wo²)
Wc2 = +B/2 + sqrt(B^2/4 + wo²)
Wo = sqrt(wc1Wc2)
%3D
%3D
>
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