PRACTICAL MATLAB® FOR ENGINEERS PRACTICAL MATLAB

246 Practical MATLAB® Applications for Engineers

and





2

2

1

1

22

 R

S

R

QQS









rad/s

if QS > 10 then ω 1 = ωR (^) ( 1 – ^1
2 QS
(^) ) rad/s, and ω 2 = ωR (^) ( 1 + ^1
2 QS
(^) ) rad/s
where the BW is defi ned as BW = ω 2 − ω 1 or by BW = ωR/Q. Recall that the
BW represents the range of frequencies present in the output with a signifi cant
power content.
The frequency ωR is the geometric mean of the two frequencies given by ω 1
and ω 2 (or f 1 and f 2 ) as
R
12 ⋅
or
fffR
12 ⋅
R.3.53 Let us analyze now the simple parallel RLC circuit, shown in Figure 3.19, at
resonance.
The resonant frequency for the parallel case is still given by
f
R LC

1

2 

The quality factor Q is given by

QCR

R

PR RRL











21

and the BW cutoff frequencies are given by the following equations:

 1 2

2

2

1

2

1

2

1

2

114

R 

RC RC C R R

C

L













 

CR L

FIGURE 3.19

RLC parallel circuit diagram of R.3.53.