麦克斯韦方程组四个方程对应方程的方程名和方程的微分形式

1. 麦克斯韦-法拉第电磁感应定律：$$ \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t} $$ 微分形式：$$ \frac{\partial E_z}{\partial y}-\frac{\partial E_y}{\partial z}=-\frac{\partial B_x}{\partial t} $$

2. 麦克斯韦-高斯电场定律：$$ \nabla \cdot \mathbf{E} = \frac{\rho}{\epsilon_0} $$ 微分形式：$$ \frac{\partial E_x}{\partial x}+\frac{\partial E_y}{\partial y}+\frac{\partial E_z}{\partial z}=\frac{\rho}{\epsilon_0} $$

3. 麦克斯韦-高斯磁场定律：$$ \nabla \cdot \mathbf{B} = 0 $$ 微分形式：$$ \frac{\partial B_x}{\partial x}+\frac{\partial B_y}{\partial y}+\frac{\partial B_z}{\partial z}=0 $$

4. 麦克斯韦-安培定律：$$ \nabla \times \mathbf{B} = \mu_0 \mathbf{J} + \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t} $$ 微分形式：$$ \frac{\partial B_z}{\partial y}-\frac{\partial B_y}{\partial z}=\mu_0 J_x+\mu_0 \epsilon_0 \frac{\partial E_x}{\partial t} $$