The circuit shown in Figure is a second order low-pass filter. This filter circuit is called a multiple-loop feedback filter (MFF). The output impedance of this filter is zero, so the MFF low-pass filter is suitable for use as a filter stage in a cascade filter. The transfer function of the low- pass MFF filter is H (5) = 52 + 1 R1R3C1C2 1 1 + R2C1 + R3C1 5 + 1 R2R3C1C2 R2 C2 R3 R1 v1) volt) Let R2 = R3 = R and C = C2 = C = 0.05 µf. Design this filter to have wo = 2500 rad/s and Q = 8. What is the value of R, R1 and the dc gain? R = k2, R1= k2, k =

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The circuit shown in Figure is a second order low-pass filter. This filter circuit is called a multiple-loop feedback filter (MFF). The output
impedance of this filter is zero, so the MFF low-pass filter is suitable for use as a filter stage in a cascade filter. The transfer function of the low-
pass MFF filter is
H (5) =
52 +
1
R1R3C1C2
1
1
+
R2C1
+
R3C1
5 +
1
R2R3C1C2
R2
C2
R3
R1
v1)
volt)
Let R2 = R3 = R and C = C2 = C = 0.05 µf. Design this filter to have wo = 2500 rad/s and Q = 8. What is the value of R, R1 and the dc gain?
R =
k2, R1=
k2, k =
Transcribed Image Text:The circuit shown in Figure is a second order low-pass filter. This filter circuit is called a multiple-loop feedback filter (MFF). The output impedance of this filter is zero, so the MFF low-pass filter is suitable for use as a filter stage in a cascade filter. The transfer function of the low- pass MFF filter is H (5) = 52 + 1 R1R3C1C2 1 1 + R2C1 + R3C1 5 + 1 R2R3C1C2 R2 C2 R3 R1 v1) volt) Let R2 = R3 = R and C = C2 = C = 0.05 µf. Design this filter to have wo = 2500 rad/s and Q = 8. What is the value of R, R1 and the dc gain? R = k2, R1= k2, k =
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