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# 静电学

## 库仑定律

${\displaystyle \mathbf {F} (\mathbf {r} )={\frac {1}{4\pi \epsilon _{0))}{\frac {qQ}{r^{2))}{\hat {\mathbf {r} ))}$

## 电场

${\displaystyle \mathbf {E} (\mathbf {r} )=\mathbf {F} (\mathbf {r} )/Q}$

${\displaystyle \mathbf {E} (\mathbf {r} )={\frac {1}{4\pi \epsilon _{0))}{\frac {q}{r^{2))}{\hat {\mathbf {r} ))}$

### 高斯定律

${\displaystyle \oint _{S}\mathbf {E} \cdot \mathrm {d} \mathbf {A} ={\frac {1}{\epsilon _{0))}\int _{\mathbb {V} }\rho \cdot \mathrm {d} V}$

${\displaystyle \mathbf {\nabla } \cdot \mathbf {E} ={\frac {\rho }{\epsilon _{0))))$

### 泊松方程

${\displaystyle {\nabla }^{2}V=-{\rho \over \epsilon _{0))}$

### 拉普拉斯方程

${\displaystyle {\nabla }^{2}V=0}$

## 叠加原理

${\displaystyle \mathbf {F} =\sum _{i=1}^{N}\mathbf {F} _{i))$

${\displaystyle \mathbf {E} =\sum _{i=1}^{N}\mathbf {E} _{i))$

${\displaystyle V=\sum _{i=1}^{N}V_{i))$

## 参考文献

1. ^ Guralnik, David B. ed. Webster's New World Dictionary. Englewood Cliffs, N. J.: Prentice-Hall, Incorporated. 1970.
• Faraday, Michael. Experimental Researches in Electricity. London: Royal Inst. 1839.
• Halliday, David; Robert Resnick; Kenneth S. Krane. Physics. New York: John Wiley & Sons. 1992. ISBN 0-471-80457-6.
• Griffiths, David. Introduction to Electrodynamics. Upper Saddle River, NJ: Prentice Hall. 1999. ISBN 0-13-805326-X.
• Hermann A. Haus and James R. Melcher. Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall. 1989. ISBN 0-13-249020-X.

## 外部链接

• 靜電 (ppt). 建国中学物理讲义.