用能量法计算非平行板电容器的电容

利用电场能量和电容器的能量公式，解出非平行板电容器的电容和电场分布．该方法严谨易懂，图像清晰，另辟新径．     

非平行板电容器电容的又一算法

应用平行板电容器电容的概念和并联电容器电容公式,给出了非平行板电容器的电容及电场分布.     

非平行板电容器电场和电容的另一种计算

通过求解电势的拉普拉斯方程,得到非平行板电容器两极板间的电势分布,从而求出其电场和电容,结果与用其他方法所得结果完全相同．     

利用场强与电势的关系计算非平行平板电容器的电容

对于非平行平板电容器,利用电场与电势的基本关系,求解微分方程,得到电容器的电容值.     

非平行板电容器电容计算的修正

在计算非平行板电容器的电场和电容时,以往文献大多忽略分布在电容器外部的电荷.本文将电容器外部电荷纳入计算过程,用三种方法得到更加准确的非平行板电容器电容,较其他文献新增了修正项.     

计及边缘效应的非平行板电容器的电容计算

考虑到边缘效应,采用保角变换先将非平行板电容器的内部电场区域和外部电场区域变换到复平面的上下半平面,然后再继续变换到复平面的上下半平面的矩形区域,这样就可采用理想平板电容器的电容计算式算出原非平行板电容器的电容.     

用平行板电容器电容公式求非平行板电容器电容

本文从平行板电容器的电容公式出发,并基于非平行板电容器可以看作由若干个小型平行板电容器串联与并联的思想,给出球冠形电容器和柱冠形电容器电容的一种简易计算方法。     

用双办能量原理对偏心圆柱电容的电场计算

本文应用双界能量原理，对二不同心圆筒的电场进行了分析计算。文中导出了电场能量的不同表达方式，阐述了其物理意义，分析了电场能量的上界与下界，并对不同心平行圆筒电容器的电容值进行了数值计算，与用解析法求得的结果进行了比较验证。     

非平行板电容器电容的又一种算法

应用平行板电容器电容的概念和并联电容器电容公式,给出了非平行板电容器的电容．     

平行板类电容器电容的计算

平行板电容器是一基本电容器,其电容的计算公式为：C=ε0S/d,对于极板不为平面、面积不相等的平行板类电容器电容的计算则较为复杂．本文利用微积分原理,将一个普通电容器看成无限多个微电容器（平行板电容器）的串联,然后,根据电容器串联规律进行积分,最终求出电容器的电容计算公式．此方法是一个求解电容器电容普遍适用的方法,计算结果可以直接被应用．     

非平行板电容器电容和电场的一种计算

运用复变函数把非平行反电容器转换成平行板电容器来计算电容和电场强度,方法比较简便。     

Distribution of electric field in the round hole of plane capacitor

A planar capacitor with a round hole, filled by electrorheological fluid, can be used to design valves controlled by an electric field. To design valves effectively, the distribution of the electric field within the hole must be known. When the distribution along the axis of the hole is known, the electric field can be calculated at any point inside the hole. Relative coordinates, such as the ratio of values of real coordinates to the half height of the capacitor, and relative parameters, such as the ratio of the values of the outside electric field to the field inside the capacitor, are utilized in this study. The electric field on the axis of the hole is found in two steps. First, the electric field along the axis of symmetry between two plane capacitors is calculated by finding the field distribution near the edge of the detached plane of a two-plane capacitor, then the redistribution of the charges on the plate of the capacitor, due to influence of the neighbouring capacitor plate is evaluated. Second, the electric field along the axis of the round hole is calculated, thus allowing us to evaluate an alternative mechanism for charge redistribution from the plane parallel case to the case of a field with axial symmetry. Results show that the field in the hole becomes weaker when the hole is filled with a liquid of relative permittivity higher than unity. Diminution of the field can be avoided by filling the area on the capacitor with the medium of the same or greater permittivity.     

电容器边缘效应对介电常数测量的影响及修正

通过场的图形描绘法和实际测量,考虑平行板电容器边缘效应对电容测量值的影响并进行修正,从而获得对用交流电桥法测量纺织品等介质的介电常数的测量结果的修正。     

Focusing properties of the electric field between charged conical surfaces

The focusing properties of the electrostatic field between two charged conical surfaces are considered. An expression is obtained for the electric field intensity in the capacitor formed by two concentric circular cones with parallel generatrices. The equations of motion of an electron in such a capacitor are solved numerically, and it is shown that first-order focusing can be accomplished in it under specified conditions.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 35–40, October, 1981.     

Electrostatic surface guiding of cold polar molecules with a single charged wire

This paper proposes a scheme to guide cold polar molecules by using a single charged wire half embanked in an insulating substrate and a homogeneous bias electric field, which is generated by a plate capacitor composed of two infinite parallel metal plates. The spatial distributions of the electrostatic field produced by the combination of the charged wire and the plate capacitor and the corresponding Stark potentials (including dipole forces) for metastable CO molecules are calculated, the relationships between the electric field and the parameters of our charged-wire layout are analysed. It also studies the influences of the insulator on the electric field distribution and the discharge effect. This study shows that the proposed scheme can be used to guide cold polar molecules in the weak-field -- seeking states, and to form various molecule-optical elements, such as molecular funnel, molecular beam-splitters and molecule interferometer, even to construct a variety of integrated molecule-optical elements and their molecule chips.     

带有对称垂直导体脊的平行板电容器内的电场及其电容量

利用保角变换法研究带有对称垂直导体脊的平行板电容器的电场,给出其电势分布和场强分布函数,通过MATLAB软件绘制电场线和等势线(面)图,并计算其电容量.