Electromagnetic Waves as Sinusoidal Waves Video Lessons

Concept

# Problem: The fields of an electromagnetic wave are E→=Epsinkz+ωtj^    and     B→=Bpsinkz+ωti^ Give a unit vector n^ in the direction of propagation.Express your answer in terms of the variablesi^,j^, andk^."

###### FREE Expert Solution

Propagation direction:

$\overline{)\stackrel{\mathbf{^}}{\mathbf{n}}{\mathbf{=}}\stackrel{\mathbf{⇀}}{\mathbf{E}}{\mathbf{×}}\stackrel{\mathbf{⇀}}{\mathbf{B}}}$

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###### Problem Details

The fields of an electromagnetic wave are

Give a unit vector $\stackrel{^}{\mathrm{n}}$ in the direction of propagation.

Express your answer in terms of the variables$\stackrel{^}{\mathrm{i}}$,$\stackrel{^}{\mathrm{j}}$, and$\stackrel{^}{\mathrm{k}}$."