Tutorial #1 [Q1]Show that 1- The Gain of a first-order low pass filter at any frequencyf is given by: Vout Ap Voltage Gain, (Av) = Vin fc Where: AF = the pass band gain of the filter, (1 + R2/R1) f = the frequency of the input signal in Hertz, (Hz) fc = the cut-off frequency in Hertz, (Hz) 2-At f=fc, the voltage gain is given by F'out F'oltage Gain. (.4v) = Vin [Q2] Design an op amp-based low pass filter with a cut off frequency of 500HZ and a passband gain of 1 using a 50nFcapacitor. a) Draw your circuit, labeling the component values and output voltage. b) If the value of the feedback resistor in the filler is changed but the value of the resistor in the forward path is unchanged, what characteristic of the filter is changed? [Q3] The input to the low pass filter designed in Problem 1 is 200 coswt m V a) Find the output voltage when 0=@c b) Find the output voltage when m=0.100 d) Find the output voltage when m=1000 [Q4] a) Design a high pass filter with a cutoff frequency of 40kHz40kHz and a passband gain of 12 dB. Use a 680 pF capacitor in the design b) Draw the circuit diagram of the filter and label all the components [Q5] Choose appropriate values for this Sallen-Key high-pass filter circuit to give it a cutoff frequency of 7 kHz with a "Butterworth" response Draw the complete circuit diagram [Q6] Design a third order filter low pass filter with cutoff frequency using 1- Butterworth approximation 2- Chebyshave approximation 3- Bessel approximation [Q7] Repeat problem [Q6] to design forth order high pass active filter
Tutorial #1 [Q1]Show that 1- The Gain of a first-order low pass filter at any frequencyf is given by: Vout Ap Voltage Gain, (Av) = Vin fc Where: AF = the pass band gain of the filter, (1 + R2/R1) f = the frequency of the input signal in Hertz, (Hz) fc = the cut-off frequency in Hertz, (Hz) 2-At f=fc, the voltage gain is given by F'out F'oltage Gain. (.4v) = Vin [Q2] Design an op amp-based low pass filter with a cut off frequency of 500HZ and a passband gain of 1 using a 50nFcapacitor. a) Draw your circuit, labeling the component values and output voltage. b) If the value of the feedback resistor in the filler is changed but the value of the resistor in the forward path is unchanged, what characteristic of the filter is changed? [Q3] The input to the low pass filter designed in Problem 1 is 200 coswt m V a) Find the output voltage when 0=@c b) Find the output voltage when m=0.100 d) Find the output voltage when m=1000 [Q4] a) Design a high pass filter with a cutoff frequency of 40kHz40kHz and a passband gain of 12 dB. Use a 680 pF capacitor in the design b) Draw the circuit diagram of the filter and label all the components [Q5] Choose appropriate values for this Sallen-Key high-pass filter circuit to give it a cutoff frequency of 7 kHz with a "Butterworth" response Draw the complete circuit diagram [Q6] Design a third order filter low pass filter with cutoff frequency using 1- Butterworth approximation 2- Chebyshave approximation 3- Bessel approximation [Q7] Repeat problem [Q6] to design forth order high pass active filter
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Note, please pay attention, answer only the third question, the question Q3 .
![Tutorial #1
[Q1]Show that
1- The Gain of a first-order low pass filter at any frequency f is given
by:
Ap
Vout
Voltage Gain, (Av) =
Vin
1+
fc
Where:
AF = the pass band gain of the filter, (1 + R2/R1)
f = the frequency of the input signal in Hertz, (Hz)
fc = the cut-off frequency in Hertz, (Hz)
2-At f=fc, the voltage gain is given by
F'oltage Gain. (.4v) =
Vin
[Q2] Design an op amp-based low pass filter with a cut off frequency
of 500HZ and a passband gain of 1 using a 50nFcapacitor.
a) Draw your circuit, labeling the component values and output voltage.
b) If the value of the feedback resistor in the filler is changed but the value of
the resistor in the forward path is unchanged, what characteristic of the filter is
changed?
[Q3] The input to the low pass filter designed in Problem 1 is 200 coswt m V
a) Find the output voltage when w=wc
b) Find the output voltage when w=0.100
d) Find the output voltage when o=1000
[Q4]
a) Design a high pass filter with a cutoff frequency of 40kHz40kHz and a
passband gain of 12 dB. Use a 680 pF capacitor in the design
b) Draw the circuit diagram of the filter and label all the components
[Q5] Choose appropriate values for this Sallen-Key high-pass filter circuit to
give it a cutoff frequency of 7 kHz with a “Butterworth" response Draw the
complete circuit diagram
[Q6] Design a third order filter low pass filter with cutoff frequency using
1- Butterworth approximation
2- Chebyshave approximation
3- Bessel approximation
[Q7] Repeat problem [Q6] to design forth order high pass active filter](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d7760e5-4d13-4ab1-b8da-6f04c56adeb5%2F09177180-7605-45ca-bb6e-7d4ac8a78e72%2Fxs1oaq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Tutorial #1
[Q1]Show that
1- The Gain of a first-order low pass filter at any frequency f is given
by:
Ap
Vout
Voltage Gain, (Av) =
Vin
1+
fc
Where:
AF = the pass band gain of the filter, (1 + R2/R1)
f = the frequency of the input signal in Hertz, (Hz)
fc = the cut-off frequency in Hertz, (Hz)
2-At f=fc, the voltage gain is given by
F'oltage Gain. (.4v) =
Vin
[Q2] Design an op amp-based low pass filter with a cut off frequency
of 500HZ and a passband gain of 1 using a 50nFcapacitor.
a) Draw your circuit, labeling the component values and output voltage.
b) If the value of the feedback resistor in the filler is changed but the value of
the resistor in the forward path is unchanged, what characteristic of the filter is
changed?
[Q3] The input to the low pass filter designed in Problem 1 is 200 coswt m V
a) Find the output voltage when w=wc
b) Find the output voltage when w=0.100
d) Find the output voltage when o=1000
[Q4]
a) Design a high pass filter with a cutoff frequency of 40kHz40kHz and a
passband gain of 12 dB. Use a 680 pF capacitor in the design
b) Draw the circuit diagram of the filter and label all the components
[Q5] Choose appropriate values for this Sallen-Key high-pass filter circuit to
give it a cutoff frequency of 7 kHz with a “Butterworth" response Draw the
complete circuit diagram
[Q6] Design a third order filter low pass filter with cutoff frequency using
1- Butterworth approximation
2- Chebyshave approximation
3- Bessel approximation
[Q7] Repeat problem [Q6] to design forth order high pass active filter
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