Bs The following circuit is an active bandpass filter with a transfer function, H(s) = -K- 10 µF 1 kΩ 102 10 µF (a) Using the provided numerical values for resistors and capacitors, find the center frequency, bandwidth, and gain of this bandpass filter. Wo = [ Select ] v rad/s, B = [ Select ] v rad/s, K= [Select] (b) Express wo (center frequency) in terms of wei and we2, Which are the lower and upper cutoff frequencies, respectively. We = V + w - w = V + o + (a+b)(a-b) = a? -b?. Hint 1: Hint 2: [ Select ] Wo =

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The following circuit is an active bandpass filter with a transfer function, H(s) = -K
s²+ßs+w%
10 µF
1 kN
10 µF
10 2
Vi
vo
(a) Using the provided numerical values for resistors and capacitors, find the center frequency, bandwidth, and gain of this bandpass filter.
[ Select ]
v rad/s,
Wo =
%3D
B =
[ Select ]
v rad/s,
%3D
K= [Select ]
(b) Express wo (center frequency) in terms of wc1 and wc2, Wwhich are the lower and upper cutoff frequencies, respectively.
+ wz + %
12
+ w -
Wc2
2'
%3D
Hint 1:
Wci
%3D
(a+b)(a-b) = a² - b?.
%3D
Hint 2:
[1
[ Select ]
Wo =
%3D
Transcribed Image Text:The following circuit is an active bandpass filter with a transfer function, H(s) = -K s²+ßs+w% 10 µF 1 kN 10 µF 10 2 Vi vo (a) Using the provided numerical values for resistors and capacitors, find the center frequency, bandwidth, and gain of this bandpass filter. [ Select ] v rad/s, Wo = %3D B = [ Select ] v rad/s, %3D K= [Select ] (b) Express wo (center frequency) in terms of wc1 and wc2, Wwhich are the lower and upper cutoff frequencies, respectively. + wz + % 12 + w - Wc2 2' %3D Hint 1: Wci %3D (a+b)(a-b) = a² - b?. %3D Hint 2: [1 [ Select ] Wo = %3D
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