ISRO Electronics & Communication (ECE) 2012 - Question 29

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Topic: Electromagnetics

Which of the following does not represent Maxwell's Equation?

  • A. $\oint E\cdot ds=-\int\frac{\partial B}{\partial t}\cdot da$
  • B. $\oint D\cdot da=\int\rho\cdot dV$
  • C. $\nabla\times H=B+J$
  • D. $\oint B\cdot da=0$

Answer: C. $\nabla\times H=B+J$

Explanation: Maxwell's equations: $\oint\vec{D}\cdot\vec{ds}=\int\rho_{v}dv$, $\oint\vec{E}\cdot\vec{ds}=-\int\frac{\partial\vec{B}}{\partial t}\cdot ds$, $\oint\vec{B}\cdot\vec{ds}=0$, $\nabla\times\vec{E}=-\frac{\partial\vec{B}}{\partial t}$, $\nabla\cdot\vec{B}=0$, $\nabla\cdot\vec{D}=\rho_{v}$, $\nabla\times\vec{H}=\vec{J_{C}}+\vec{J_{D}}$ or $\oint\vec{H}\cdot\vec{dl}=\oint\vec{J_{C}}\cdot ds$. So incorrect option is (c).

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