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  • If magnetic monopole existed, then which of the following Maxwell's equations will be modified?Option: 1 <img alt="\operatorname{div} \vec{D}=p"

If magnetic monopole existed, then which of the following Maxwell's equations will be modified?

Option: 1

\operatorname{div} \vec{D}=p


Option: 2

\operatorname{div} \vec{B}=0


Option: 3

curl \vec{E}=-\frac{\partial B}{\partial t}


Option: 4

curl\, \vec{H}=J+\frac{\partial \vec{D}}{\partial t}


Answers (1)

best_answer

Magnetic lines of force in general are either closed curves or go off to infinite.

\therefore  The flux of magnetic induction \vec{B} across any closed surface is always zero.

\int_{S} \vec{B} \cdot d \vec{s}=0

Using Gauss divergence theorem -

\int_{v} \operatorname{div} \vec{B} \cdot d v=0

volume is arbitrary hence div \vec{B}=0  Ans.

Posted by

Ajit Kumar Dubey

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