Question:
A plane electromagnetic wave of frequency $100 \mathrm{MHz}$ is travelling in vacuum along the $x-$ direction. At a particular point in space and time, $\overrightarrow{\mathrm{B}}=2.0 \times 10^{-\mathrm{s}} \hat{\mathrm{k}} \mathrm{T} \cdot$ (where, $\hat{\mathrm{k}}$ is unit vector along z-direction) What is $\overrightarrow{\mathrm{E}}$ at this point?
Correct Option: , 3
Solution:
$E=B C=6$
(Dir. of wave) $\|(\overrightarrow{\mathrm{E}} \times \overrightarrow{\mathrm{B}})$
$\hat{\mathrm{i}}=\hat{\mathrm{j}} \times \hat{\mathrm{k}}$
$\overrightarrow{\mathrm{E}}=6 \hat{\mathrm{j}} \mathrm{V} / \mathrm{m}$