Capacitance and Potential Gradients of Eccentric Cylindrical Condensers
Capacitance and Potential Gradients of Eccentric Cylindrical Condensers
复制标题
偏心圆柱形电容器的电容和电位梯度
DOI：
10.1063/1.1745162
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发表时间：
1933
影响因子：
3.2
通讯作者：
C. L. Dawes
中科院分区：
文献类型：
--
作者：
C. L. Dawes
有时需要计算偏心圆柱形电容器的电容和电位梯度，例如，电缆和特殊电容器。虽然方法已经发展，使电容和电位梯度在这样的电容器 *· h 2很少有文献给出一个完整的，但紧凑的治疗的主题是可用的。此外，这里提出的不同公式是根据与通常采用的不同的基础推导出来的。给出了该公式的几种形式及其分析。这些公式是从著名的反点反像法导出的。[3]为简单起见，公式以每厘米长度的静法拉为单位推导，以真空为电介质（k= 1）。对于所需的长度和其他长度应用必要的系数是一件简单的事情。
SOMETIMES it becomes desirable to calculate the capacitance and the potential gradient of eccentric cylindrical condensers, for example, with cables and with special condensers. Although methods have been evolved which give the capacitance and potential gradient in such condensers*• h 2 very little literature giving a complete but compact treatment of the subject is available. Moreover, the different formulas presented here are derived on a somewhat different basis than is ordinarily adopted. Several forms of the same formula together with their analysis are presented. The formulas are derived from the wellknown method of inverse points and images. 3 For simplicity, the formulas are derived in statfarads per cm length, with vacuum as the dielectric (k= 1). It is a simple matter to apply the necessary coefficients for the desired lengths and for other dielectrics.