2 views

If $\mathrm{C}$ is a closed curve enclosing a surface $S$, then the magnetic field intensity $\vec{H}$, the current density $\vec{J}$ and the electric flux density $\vec{D}$ are related by

1. $\iint_{S} \vec{H} \cdot d \vec{s}=\oint_{C}\left(\vec{J}+\frac{\partial \vec{D}}{\partial t}\right) \cdot d \vec{l}$
2. $\int_{C} \vec{H} \cdot d \vec{l}=\oint \oint_{S}\left(\vec{J}+\frac{\partial \vec{D}}{\partial t}\right) \cdot d \vec{s}$
3. $\oint \oint_{S} \vec{H} \cdot d \vec{s}=\int_{C}\left(\vec{J}+\frac{\partial \vec{D}}{\partial t}\right) \cdot d \vec{l}$
4. $\oint_{C} \vec{H} \cdot d \vec{l}=\iint_{S}\left(\vec{J}+\frac{\partial \vec{D}}{\partial t}\right) \cdot d \vec{s}$