Approximate Analytical Expressions for the Electrical Potential between Two Parallel Planes, Inside a Cylinder and a Inside a Sphere: Salt-free Medium
Date Issued
2007
Date
2007
Author(s)
Liu, Pen-Chun
DOI
zh-TW
Abstract
Approximation analytical expression for the potential of planar, cylindrical, and spherical surfaces are derived for the case when the inside medium contains counterions only. Based on the results for planar, those for two identical surfaces can be derived. The error of a surface on the electrical potential distribution can be neglected when the order of the distance which from center to the surface we assume the potential decay to zero about 102 of its radius. This effect also can be neglected when the potential is high, but it can be taken into account by multiplying a correction function to the potential of surface when the surface potential is low. For the same set of parameters, the magnitude of the degree of the potential decay for various type of surface follows the order planar surface>cylindrical surface>spherical surface.
Furthermore, the boundary condition exchange equation of constant surface potential change to constant charge density is derived for these equations. So it can be used with two types of boundary condition.
Subjects
電位
不含鹽類介質
半解析解
Salt-free
Analytical Expressions
Electrical Potential
Type
thesis
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