Question Paper GATE EC 1990 Electromagnetics

# GATE EC 1990 Electromagnetics Solution

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.

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

This is a GATE Question Paper EC 1990 Electromagnetics presented from our course Electronics & Comm. Engineering (EC) | Topic-wise Previous Solved GATE Papers | Electromagnetics

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