Design an opamp-based bandhpass filter with a quality factor of 8 and a center frequency of 80 krad/s using a 10 nF capacitor for C₁ and CH. a) Use a cascaded opamp bandpass filter, as shown in the figure, and derive the transfer function for each opamp in terms of its R and C components. That is what is the Laplace transfer function VA(s)/VI(s), VB(S)/VA(S). Also, what is the Laplace transfer function Vo(s)/Vi(s) b) What are the cutoff frequencies, wc1, and wc2, in terms of R and C for the circuit? c) What is the center frequency for the entire circuit in terms of R and C? J

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Design an opamp-based bandhpass filter with a quality factor of 8 and a center
frequency of 80 krad/s using a 10 nF capacitor for C₁ and CH.
Va
a) Use a cascaded opamp bandpass filter, as shown in the figure, and derive the
transfer function for each opamp in terms of its R and C components. That is
what is the Laplace transfer function VA(S)/V;(s), VB(S)/VA(S). Also, what is the
Laplace transfer function Vo(s)/Vi(s)
b) What are the cutoff frequencies, wc1, and wc2, in terms of R and C for the
circuit?
c) What is the center frequency for the entire circuit in terms of R and C?
d) Find the value for the components RH and RL, given the question's values.
Transcribed Image Text:R₁ w R₁ www "A Ru www CH HE R₁ www "B R₁ www to + R₁ www Design an opamp-based bandhpass filter with a quality factor of 8 and a center frequency of 80 krad/s using a 10 nF capacitor for C₁ and CH. Va a) Use a cascaded opamp bandpass filter, as shown in the figure, and derive the transfer function for each opamp in terms of its R and C components. That is what is the Laplace transfer function VA(S)/V;(s), VB(S)/VA(S). Also, what is the Laplace transfer function Vo(s)/Vi(s) b) What are the cutoff frequencies, wc1, and wc2, in terms of R and C for the circuit? c) What is the center frequency for the entire circuit in terms of R and C? d) Find the value for the components RH and RL, given the question's values.
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