Task #4: Consider Figure 3 given below. This RLC circuit is a bandpass filter. a) For
R=3.3k\Omega
and
L=1mH
, find (compute) the value of C so that the center frequency
w_(@)=
10kra(d)/(sec)
. For that value of C , also determine the bandwidth
\Delta w
(i.e.,
\beta
) and the quality factor
Q=(w_(0))/(\Delta w)
of this filter. Determine and sketch the frequency response function
H(jw)=
(V_(o)(jw))/(V_(i)(jw))
. b) For
R=10k\Omega
and
L=1mH
, find (compute) the value of C so that
w_(0)=10kra(d)/(sec)
. For that value of C , determine the bandwidth
\Delta w
(i.e.,
\beta
) and Q . Determine and sketch the frequency response function
H(jw)=(V_(o)(jw))/(V_(i)(jw))
. Indicate the half-power angular frequencies.