If vec{E} and vec{K} represent electric field and propagation vectors of EM waves in vacuum, then ma

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8.Electromagnetic waves

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If $\vec{E}$ and $\vec{K}$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by : $(\omega-$ angular frequency) :

A

$\frac{1}{\omega}(\overrightarrow{ K } \times \overrightarrow{ E })$

B

$\omega(\vec{E} \times \vec{K})$

C

$\omega(\overrightarrow{ K } \times \overrightarrow{ E })$

D

$\overrightarrow{ K } \times \overrightarrow{ E }$

(JEE MAIN-2023)

Solution

Magnetic field vector will be in the direction of $\hat{ K } \times \hat{ E }$

magnitude of $B =\frac{ E }{ C }=\frac{ K }{\omega} E$ Or $\overrightarrow{ B }=\frac{1}{\omega}(\overrightarrow{ K } \times \overrightarrow{ E })$

Standard 12

Physics

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