Question

Establish maxwell equation for electromagnetic wave in free space

Answer 1

Dear Student ,
$$\begin{gathered} weknowbygausslaw\oint \overrightarrow{E}.d\overrightarrow{S}=\frac{q}{{\epsilon }_0}----1 \\ bygausslawofmagnetism \\ \oint \overrightarrow{B}.d\overrightarrow{S}=0-----2 \\ byfaraday\text{'}slaw\oint \overrightarrow{E}.d\overrightarrow{l}=-\frac{d{\phi }_B}{dt}-----3 \\ andbyampere\text{'}slaw \\ \oint \overrightarrow{B}.d\overrightarrow{l}={\mu }_{0}i+{\epsilon }_0{\mu }_0\frac{d{\phi }_E}{dt}-----4 \\ thesearethefourmaxwellequations \end{gathered}$$
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