Biomedical Engineering Reference
In-Depth Information
2
3
p
1
o
n
p
zo
n
z
2
1
þ
e
4
5
¼
C
1
p
cos p
ð
þ
f
Þ
z
2
2
4
3
5
p
1
o
n
p
zo
n
q
1
z
2
1
þ
e
z
2
¼
C
1
p
z
2
!
p
1
p
z
z
2
¼
C
1
þ
e
With the performance estimates calculated from the data and Eqs. (13.75) and (13.76),itis
possible to estimate z and o
n
. First, find z by using the Eq. (13.76). Then, using the solution
for z, substitute this value into Eq. (13.75) to find o
n
. The phase angle f in Eq. (13.73) is
determined from the estimate for z—that is,
z
1
tan
1
p
f
¼
p
þ
z
2
EXAMPLE PROBLEM 13.11
Find z and o
n
for the data in Figure 13.67.
Solution
From the data in Figure 13.67,
C
¼
1.0,
T
p
¼
0.011, and
y(T
p
)
¼
1.37. Therefore,
t
ln
yT
ðÞ
!
2
ð
ð
Þ
Þ
1
p
1
p
z
z
2
p
2
yT
ðÞ¼
C
1
þ
e
!
z ¼
¼
0
:
3
2
ð
ln
yT
ðÞ
ð
Þ
Þ
1
1
þ
p
2
p
p
p
1
p
1
T
p
¼
!
o
n
¼
¼
300 radians
=
s
z
2
z
2
o
n
T
p
and
z
1
tan
1
f ¼ p þ
p
¼
2
:
8369 radians
:
z
2
