you must show all work where possible in order to be considered for fu

Question

You must show all work where possible in order to be considered for full credit
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 .