v,(t) R₂ Vo(s) A. Determine the transfer function, H(s)= V₁(s) 1)H(s)=k, where k and a are constants; sta 8 ii) H(s)= k- where k and a are constants; iii) H(s)- k- 2. In the above circuit, C = 2nF, R₂ = 1kM, R = 10k, the initial conditions are all zero and the op-amp is ideal. (10 pts) s+ac с iv) H(s)- k- a s² + bs + c s² P v) H(s)= k- 82 +bs + c bs vi) H(s)- k- - 82 +bs + c s² + c Rb ww M x > . , where k, b and care constants; ? in one of the following forms: where k, b and care constants; where k, b and care constants; , where k, b and care constants. R.V.(t) s² + bs + c B. Compute the value for H(jw)| in decibel (dB) at - Dw=4740 rad/s; ii) w = 47400 rad/s; iii) w = ∞o rad/s. C. Determine the type of filter implemented by the circuit.

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v,(t)
R₂
iv) H(s)- k-
2. In the above circuit, C = 2nF. Ra = 1k, R = 10k, the initial conditions are all
zero and the op-amp is ideal.
(10 pts)
A. Determine the transfer function, H(s)=
H(s)- k-
D)
ii) H(s)= k-
iii) H(s)= k-
a
s+a
8
s+a
, where k and a are constants;
с
s² + bs + c
$²
8² +bs + c
bs
v) H(s)= k-
Rb
Vo(s)
V₁(s)
, where k and a are constants;
8² +bs + c
s² + c
vi) H(s)= k-
in one of the following forms:
where k, b and care constants;
, where k, b and care constants;
+
, where k, b and care constants;
R.V.(t)
, where k, b and care constants.
s² + bs + c
B. Compute the value for H(jw)| in decibel (dB) at
w = 4740 rad/s;
ii) w = 47400 rad/s;
iii) w = ∞o rad/s.
C. Determine the type of filter implemented by the circuit.
D. If the circuit is a low-pass or high-pass filter, find the values for the passband gain Ap
in decibel (dB) and the filter order n. If it is a band-pass or band-reject filter,
determine the values for the resonance frequency, w, and the bandwidth, B.
Transcribed Image Text:v,(t) R₂ iv) H(s)- k- 2. In the above circuit, C = 2nF. Ra = 1k, R = 10k, the initial conditions are all zero and the op-amp is ideal. (10 pts) A. Determine the transfer function, H(s)= H(s)- k- D) ii) H(s)= k- iii) H(s)= k- a s+a 8 s+a , where k and a are constants; с s² + bs + c $² 8² +bs + c bs v) H(s)= k- Rb Vo(s) V₁(s) , where k and a are constants; 8² +bs + c s² + c vi) H(s)= k- in one of the following forms: where k, b and care constants; , where k, b and care constants; + , where k, b and care constants; R.V.(t) , where k, b and care constants. s² + bs + c B. Compute the value for H(jw)| in decibel (dB) at w = 4740 rad/s; ii) w = 47400 rad/s; iii) w = ∞o rad/s. C. Determine the type of filter implemented by the circuit. D. If the circuit is a low-pass or high-pass filter, find the values for the passband gain Ap in decibel (dB) and the filter order n. If it is a band-pass or band-reject filter, determine the values for the resonance frequency, w, and the bandwidth, B.
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