Biomedical Engineering Reference
In-Depth Information
C1
R1
E
R2
C2
R3
0
FIGURE 7.7
Equivalent circuit model representing an IPMNC.
The effective capacitance values are C1 = C2 and R1 = R3. Upon examination
of the proposed circuit, the current for the equivalent circuit is
t
RRC
exp
−+⋅
(
RR
2
)
2
1
1
R
RR
⋅
⋅
2
1
1
(7.5)
it
()
=⋅
V
+⋅
2
1
⋅
A
(
RR
+
2
(
+
2
)
R
2
1
2
1
2
where
V
A
is the applied step voltage (at time
t
≥
0 sec). The resulting voltage across
either capacitive loop is
1
2
R
RR
+⋅
2
1
⋅
(
RR
+⋅
)
(
+⋅
)
2
2
1
2
1
VVR
−⋅
⋅
t
RRC
(7.6)
A
A
2
exp
−−+⋅
(
RR
2
)
⋅
2
1
⋅
⋅
2
1
1
R
2
Vt
()
=
C
2
7.2.3
E
XPERIMENT
AND
D
ISCUSSION
As discussed extensively before and to refresh the reader's memory, the manufacturing
of an IPMNC starts with an ionic polymer subjected to a chemical transformation
(REDOX), which creates a functionally graded composite of the ionic polymer with
a conductive phase.
Ionic polymeric material
selectively passes through ions of a single
charge (cations or anions). They are often manufactured from polymers that consist
of fixed covalent ionic groups. The currently available ionic polymers are
