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マクスウェル方程式まとめ

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マクスウェル方程式

\begin{align}
\mathrm{div} \mathbf{B} &= \nabla \cdot \mathbf{B} = 0 \quad (1) \\
\mathrm{div} \mathbf{D} &= \nabla \cdot \mathbf{D} = \rho \quad (2) \\
\mathrm{rot} \mathbf{H} &= \nabla \times \mathbf{H} = \mathbf{i} + \frac{\partial \mathbf{D}}{\partial t} \quad (3) \\
\mathrm{rot} \mathbf{E} &= \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t} \quad (4) \\
\nabla &= \left(\begin{array}{c} \frac{\partial}{\partial x} \\ \frac{\partial}{\partial y} \\ \frac{\partial}{\partial z} \end{array} \right)
\end{align}
解釈
(1) 磁気単極が存在しない
(2) ガウスの法則
(3) アンペールの法則の拡張
(4) ファラデーの電磁誘導の法則

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