Solutions to exercises
75
S
S
S
=ƍ>DX@
<
=ƍƍ>DX@
ȕ `
ȕ
ȕ
Figure 29 – Complex impedance spectra for R //CPE circuit for various values of p.
3. Here we present the calculations for the R //CPE circuit. The calculations
for a R //C circuit are analogous.
a. The geometric factor is calculated as follows:
.
.
k
S
1267
0 177
,
=
=
.
k
c m
m
0 14
1 4
1
1
=
=
−
−
b. The relaxation frequency is given by
(RA)
(6.19 10 )(1.41 10 )
0
4
1 0
p
1
0.879
1
ω =
=
−
−−
#
#
5.69 10 rad s
0
5
1
ω =
−
#
c. The time constant (relaxation time) is the inverse of ω 0 within 2π
2
5.69 10
2
0
0
5
τ
ω
π
π
=
=
#
1.1 10 s
0
5
τ =
#