GATE EC 1990 Electromagnetics Solution Q 1

GATE EC 1990 Electromagnetics Solution Q 1

Which of the following field equation indicate that the free magnetic charge do not exist

a) \overrightarrow H=\frac1\mu\nabla\times\overrightarrow A

b) \overrightarrow H=\oint\frac{I\overrightarrow{dl}\times\overrightarrow R}{4\pi R^2}

c) \nabla\cdot\overrightarrow H=0

d) \nabla\times\overrightarrow H=\overrightarrow J

Ans- c)

Explanation

Free magnetic charge i.e monopole can not exist; always we have magnetic diapole. According to the Gauss’s law for magnetic fields.

\oint\limits_s\overrightarrow B\cdot\overrightarrow{ds}=0 \begin{array}{l}\nabla\cdot\overrightarrow B=0\\\nabla\cdot\mu\overrightarrow H=0\\\mu\nabla\cdot\overrightarrow H=0\\\nabla\cdot\overrightarrow H=0\end{array}

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