# 靜電學

## 庫侖定律

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

## 電場

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

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

### 高斯定律

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

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

### 帕松方程式

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

### 拉普拉斯方程式

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

## 疊加原理

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

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

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

## 參考文獻

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.

## 外部連結

• 靜電. 建國中學物理講義. [2009-01-29]. （原始内容 (ppt)存档于2016-03-04）.