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GATE ECE 2007 | Question-20

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