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。

Spherical Capacitor

球形电容器

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

球形或圆柱形导体的电容可以通过计算在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带电导体球，可以发现其外部的电场为

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

两球之间的电压可以通过沿径向线上积分电场来找到：

From the definition of capacitance, the capacitance is

Does an isolated charged sphere have capacitance?
孤立带电球体具有电容吗？
从电容的定义来看，电容是
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Capacitor Concepts
索引电容器概念
 
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Isolated Sphere Capacitor?

孤立球形电容器？

An isolated charged conducting sphere has capacitance. Applications for such a capacitor may not be immediately evident, but it does illustrate that a charged sphere has stored some energy as a result of being charged. Taking the concentric sphere capacitance expression:

一个孤立的带电导体球具有电容。这种电容器的应用可能不 immediately 明显，但它确实说明了一个带电的球体由于被充电而储存了能量。考虑同心球的电容表达式：

and taking the limits
并取极限
 gives
给出

Further confirmation of this comes from examining the potential of a charged conducting sphere:

进一步的证实来自对带电导体球的电势的考察：
 Index

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