Biomedical Engineering Reference
In-Depth Information
For a RC mesh to yield a semicircle on a Cole-Cole plot, an equa-
tion analogous to Eq. (7) should be satisfied:
2
2
2
§
Y
"
·
§
Y
'
·
§
1
·
2
2
2
¨
©
x
¸
¹
¨
©
¸
¹
x
o
C
x
¨
©
¸
¹
x
(9)
Z
Z
Z
R
where x is the radius of the semicircle on this plot. Solving this
equation yields:
C
§
1
·
x
¨
©
1
¸
¹
(10)
2
2
2
2
Z
R
C
Consequently, the Cole-Cole plot for a single RC mesh yields a
semicircle of diameter C only for Z values high enough to make
Z 2 R 2 C 2 >> 1. Figure 6 shows the Cole-Cole plot for the same im-
pedance spectrum displayed on the Bode, Nyquist and M plots in
Figure 6. Plot of Y '/Z against Y ”/Z (Cole-Cole plot) for the same tBLM
as in Fig. 3 . The solid curve is the best fit of the equivalent circuit shown
in Fig. 3 to the impedance spectrum, using the same R and C values.
 
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