Question

Relationship between electric field and magnetic field?

Answer 1

Hint:
you have to consider the relationship between the electric field and magnetic field of a plane electromagnetic wave.

Answer 2

delve into the Maxwell/ Heaviside equations....

Answer 3

you will be amazed

Answer 4

Could you explain me @Michele_Laino

Answer 5

the electric and magnetic field of a plane electromagnetic wave can be represented as below:

Answer 6

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:
\[\Large \left| {\mathbf{k}} \right| = \frac{\omega }{c}\]