where i”pol(t) is the measured polarization current without the
effect of dc conduction. Henceforth, the term polarization
current will be used to denote the current that is obtained by
subtracting the dc conduction part from measured relaxation
current. The value of resistance and capacitance that models
individual sub-elements of the modified Debye model can be
evaluated from Zpol(t). The final part of Zpol(t) is modeled by the
branch of modified Debye model shown in Figure 6 which have
largest time constant. The characteristic of any branch of Figure
6 is the resultant characteristics of individual sub-elements
present in that particular branch. Hence, the final portion of
Zpol(t) characteristics is used for obtaining the characteristics of
the sub-elements representing the relaxation process of the
dipole group having largest relaxation time. The rate of the
exponential functions, λk
j that characterizes the sub-elements of
largest time constant branch, lies within the range defined by
maximum and minimum slope of Zpol(t) at larger value of time.
In order to obtain information about the variation of slope,
Zpol(t) at larger value of time (marked as Region S in Figure 7
(inset))