1. Tardigrade
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  4. A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the x direction. At a particular point in space and time, vec B =2.0 × 10-8 hat k T ⋅( where, hat k is unit vector along z-direction) What is vec E at this point?

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Q. A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along the $x$ direction. At a particular point in space and time, $\vec{ B }=2.0 \times 10^{-8} \hat{ k } T \cdot($ where,$\hat{ k }$ is unit vector along z-direction) What is $\vec{ E }$ at this point?

JEE MainJEE Main 2021Electromagnetic Waves

Solution:

$E=B C=6$
(Dir. of wave) $||(\vec{ E } \times \vec{ B })$
$\hat{ i }=\hat{ j } \times \hat{ k }$
$\vec{ E }=6 \hat{ j } V / m$