Relationship between electric field and magnetic field?

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Relationship between electric field and magnetic field?

Physics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Hint: you have to consider the relationship between the electric field and magnetic field of a plane electromagnetic wave.
delve into the Maxwell/ Heaviside equations....
you will be amazed

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Could you explain me @Michele_Laino
the electric and magnetic field of a plane electromagnetic wave can be represented as below: |dw:1438869598405:dw|
the magnetic and electric field can be represented by these vectors: \[\Large \begin{gathered} {\mathbf{E}} = {{\mathbf{E}}_0}{e^{i\left( {{\mathbf{k}} \cdot {\mathbf{r}} - \omega t} \right)}} \hfill \\ \hfill \\ {\mathbf{B}} = {{\mathbf{B}}_0}{e^{i\left( {{\mathbf{k}} \cdot {\mathbf{r}} - \omega t} \right)}} \hfill \\ \end{gathered} \] using the Maxwell equation, we can show this: \[\Large {\mathbf{E}} = \frac{{{\mathbf{k}} \times {\mathbf{B}}}}{\omega }\] being \[\Large {\mathbf{k}}\] the wave vector, whose modulus, is: \[\Large \left| {\mathbf{k}} \right| = \frac{\omega }{c}\]

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