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Suppose that Anna needs a filter that keeps the frequency components lower than 5 kHz and attenuates components higher than 5 kHz. Elsa wants to help Anna and only passive components (resistor R, inductor L, capacitor C) are available for her. The values of these components are listed as follows: R=157 92, L=5 mH, C=202.7 nF Assume the designed filter will be connected to a voltage source with internal resistance R₁ = 0 22 and a load with resistance R₂ =∞0. a) Determine the type of the filter (lowpass/highpass/bandpass/bandstop) which would be appropriate for Anna's purpose b) Draw all possible circuit diagrams which can be constructed with the components available and provide the desired frequency response. Be sure to clearly label the input voltage V, and the output voltage V., across the corresponding components c) Anna wants the gain of the filter to be as nearly constant as possible in the passband. Which is the most appropriate circuit that Elsa could design? With the appropriate assumption, prove that the frequency response of the selected circuit can be represented by H(jf)= -;fo f 1+ j(L_Lo fo f

Suppose that Anna needs a filter that keeps the frequency components lower than 5 kHz and attenuates components higher than 5 kHz. Elsa wants to help Anna and only passive components (resistor R, inductor L, capacitor C) are available for her. The values of these components are listed as follows: R=157 92, L=5 mH, C=202.7 nF Assume the designed filter will be connected to a voltage source with internal resistance R₁ = 0 22 and a load with resistance R₂ =∞0. a) Determine the type of the filter (lowpass/highpass/bandpass/bandstop) which would be appropriate for Anna's purpose b) Draw all possible circuit diagrams which can be constructed with the components available and provide the desired frequency response. Be sure to clearly label the input voltage V, and the output voltage V., across the corresponding components c) Anna wants the gain of the filter to be as nearly constant as possible in the passband. Which is the most appropriate circuit that Elsa could design? With the appropriate assumption, prove that the frequency response of the selected circuit can be represented by H(jf)= -;fo f 1+ j(L_Lo fo f

Introductory Circuit Analysis (13th Edition)
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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Suppose that Anna needs a filter that keeps the frequency components lower than 5 kHz and attenuates components higher than 5 kHz. Elsa wants to help Anna and only passive components (resistor R, inductor L, capacitor C) are available for her. The values of these components are listed as follows: R=157 Q2, L=5 mH, C = 202.7 nF Assume the designed filter will be connected to a voltage source with internal resistance R₁ = 0 2 and a load with resistance R₁ =∞0. a) Determine the type of the filter (lowpass/highpass/bandpass/bandstop) which would be appropriate for Anna's purpose b) Draw all possible circuit diagrams which can be constructed with the components available and provide the desired frequency response. Be sure to clearly label the input voltage V, and the output voltage V, across the corresponding components c) Anna wants the gain of the filter to be as nearly constant as possible in the passband. Which is the most appropriate circuit that Elsa could design? With the appropriate assumption, prove that the frequency response of the selected circuit can be represented by H(jf) = -jfo f 1+ j(_fo fo f
Transcribed Image Text:Suppose that Anna needs a filter that keeps the frequency components lower than 5 kHz and attenuates components higher than 5 kHz. Elsa wants to help Anna and only passive components (resistor R, inductor L, capacitor C) are available for her. The values of these components are listed as follows: R=157 Q2, L=5 mH, C = 202.7 nF Assume the designed filter will be connected to a voltage source with internal resistance R₁ = 0 2 and a load with resistance R₁ =∞0. a) Determine the type of the filter (lowpass/highpass/bandpass/bandstop) which would be appropriate for Anna's purpose b) Draw all possible circuit diagrams which can be constructed with the components available and provide the desired frequency response. Be sure to clearly label the input voltage V, and the output voltage V, across the corresponding components c) Anna wants the gain of the filter to be as nearly constant as possible in the passband. Which is the most appropriate circuit that Elsa could design? With the appropriate assumption, prove that the frequency response of the selected circuit can be represented by H(jf) = -jfo f 1+ j(_fo fo f
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