# 靜電學

(已重新導向自 静电)

## 庫侖定律

$\mathbf{F}(\mathbf{r}) =\frac{1}{4\pi\epsilon_0} \frac{qQ}{r^2}\hat{\mathbf{r}}$

## 電場

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

$\mathbf{E}(\mathbf{r})=\frac{1}{4\pi\epsilon_0} \frac{q}{r^2}\hat{\mathbf{r}}$

### 高斯定律

$\oint_S\mathbf{E} \cdot\mathrm{d}\mathbf{A} =\frac{1}{\epsilon_0} \int_\mathbb{V}\rho\cdot\mathrm{d}V$

$\mathbf{\nabla}\cdot\mathbf{E}=\frac{\rho}{\epsilon_0}$

### 帕松方程式

${\nabla}^2 V = - {\rho\over\epsilon_0}$

### 拉普拉斯方程式

${\nabla}^2 V = 0$

## 疊加原理

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

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

$V= \sum_{i=1}^N V_{i}$

## 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.古騰堡計劃中收錄的《電子書》免費電子版本
• 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 (ppt). 建國中學物理講義.