Question #4 v(t) Ra Rb Ve(t) In the above circuit, the initial conditions are all zero and the op-amp is ideal. A. Determine the transfer function, H(s) = v() in one of the following forms: i) H(s) = kwhere k, b and c are constants; ii) H(s)k- where k, b and c are constants; iii) H(s) k ba ba where k, b and c are constants; B. iv) H(s) k ,where k, b and c are constants. Determine the type of filter implemented by the circuit C. If the circuit is a low-pass or high-pass filter, do Parts i and ii. If the circuit is a band- pass or band-reject filter, do Parts iii. i) Determine the order of the filter. ii) Find the values for the relevant components that will yield a gain of 8 under the requirement that ALL resistors must have a resistance greater than or equal to 1kn iii) Find the values for the relevant components that will yield a bandwidth of 8 = 12500 rad/s and a gain of 8 at the resonance frequency under the requirement that ALL resistors must have a resistance greater than or equal to 1kn. Solution #4 A. H(s) k ba where k = -B b = c B. с C = CARD Bandpass Filter R₂ = 1 kn, R₁ 16 kn, C=10nF

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Question #4
v(t)
Ra
Rb
Ve(t)
In the above circuit, the initial conditions are all zero and the op-amp is ideal.
A. Determine the transfer function, H(s) = v() in one of the following forms:
i) H(s) = kwhere k, b and c are constants;
ii) H(s)k-
where k, b and c are constants;
iii) H(s) k
ba
ba
where k, b and c are constants;
B.
iv) H(s) k
,where k, b and c are constants.
Determine the type of filter implemented by the circuit
C. If the circuit is a low-pass or high-pass filter, do Parts i and ii. If the circuit is a band-
pass or band-reject filter, do Parts iii.
i) Determine the order of the filter.
ii) Find the values for the relevant components that will yield a gain of 8 under the
requirement that ALL resistors must have a resistance greater than or equal to 1kn
iii) Find the values for the relevant components that will yield a bandwidth of
8 = 12500 rad/s and a gain of 8 at the resonance frequency under the requirement
that ALL resistors must have a resistance greater than or equal to 1kn.
Solution #4
A.
H(s) k
ba
where
k = -B
b = c
B.
с
C = CARD
Bandpass Filter
R₂ = 1 kn, R₁ 16 kn, C=10nF
Transcribed Image Text:Question #4 v(t) Ra Rb Ve(t) In the above circuit, the initial conditions are all zero and the op-amp is ideal. A. Determine the transfer function, H(s) = v() in one of the following forms: i) H(s) = kwhere k, b and c are constants; ii) H(s)k- where k, b and c are constants; iii) H(s) k ba ba where k, b and c are constants; B. iv) H(s) k ,where k, b and c are constants. Determine the type of filter implemented by the circuit C. If the circuit is a low-pass or high-pass filter, do Parts i and ii. If the circuit is a band- pass or band-reject filter, do Parts iii. i) Determine the order of the filter. ii) Find the values for the relevant components that will yield a gain of 8 under the requirement that ALL resistors must have a resistance greater than or equal to 1kn iii) Find the values for the relevant components that will yield a bandwidth of 8 = 12500 rad/s and a gain of 8 at the resonance frequency under the requirement that ALL resistors must have a resistance greater than or equal to 1kn. Solution #4 A. H(s) k ba where k = -B b = c B. с C = CARD Bandpass Filter R₂ = 1 kn, R₁ 16 kn, C=10nF
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