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The following network behaves as what is called a bandpass filter:

192

1 F

1 F

a. (4) Write a complete expression for total network impedance, Z().

b. (4) Using current division and your result in (a), write a complete expression for the

output voltage, Vo.

192

V

c. (4) From your answer in (b), show that: H()==

H(o)=

1-[07

d. (4) Use Matlab to obtain the Bode plot of your answer in (c).

e. (4) You are given that a filter of this kind has the archetype transfer function:

joRC

Vs 1+3jøRC+(jwRC)²

Boo

co²+ Beo+co

where B is the bandwidth of your filter and is the resonance (center) frequency of your

filter. From your answer in (c), compute the bandwidth B and .