Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Cylindrical Capacitor

电容器(圆柱形)

For a cylindrical geometry like a coaxial cable, the capacitance is usually stated as a capacitance per unit length. The charge resides on the outer surface of the inner conductor and the inner wall of the outer conductor. The capacitance expression is

对于如同轴电缆这样的圆柱形结构,电容通常表示为单位长度的电容。电荷分布在内导体的外表面和外导体的内壁。电容的表达式为
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For inside radius a = m,
outside radius b = m ,
and dielectric constant k = ,
the capacitance per unit length is
C/L = F/m = x10^ F/m = pF/m
For a length of L = m the capacitance is
C = F = x10^ F = pF

对于内半径 a = m,外半径 b = m,介电体常数 k = ,单位长度的电容是 C/L = F/m = x10^ F/m = pF/m。对于长度为 L = m 的情况,电容是 C = F = x10^ F = pF
中文译文中的待填/计算数值依次对应:1:aa 2:bb 3:k 4:clen 5:cb 6:cp 7:cpf 8:len 9:ccc 10:cbp 11:cpp 12:cpfp。实际数值以上方原输入框为准。
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Capacitor Concepts
索引电容器概念
 
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Cylindrical Capacitor

电容器(圆柱形)

The capacitance for cylindrical or spherical conductors can be obtained by evaluating the voltage difference between the conductors for a given charge on each. By applying Gauss' law to an infinite cylinder in a vacuum, the electric field outside a charged cylinder is found to be

圆柱形或球形导体的电容可通过计算给定电荷情况下导体之间的电压差来获得。通过将高斯定律应用于真空中的无限长圆柱体,可以得出带电圆柱体外的电场为

The voltage between the cylinders can be found by integrating the electric field along a radial line:

两极板之间的电压可以通过沿径向线积分电场来找到:
From the definition of capacitance and including the case where the volume is filled by a dielectric of dielectric constant k, the capacitance per unit length is defined as
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从电容的定义出发,并包括当体积被介电常数为k的介电体填满的情况,单位长度的电容被定义为
Index

Capacitor Concepts
索引电容器概念
 
HyperPhysics***** Electricity and Magnetism
HyperPhysics ***** 电学和磁学
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