JEE MAIN - Physics (2023 - 24th January Morning Shift - No. 18)
In $$\overrightarrow E $$ and $$\overrightarrow K $$ represent electric field and propagation vectors of the EM waves in vacuum, then magnetic field vector is given by :
($$\omega$$ - angular frequency) :
$${1 \over \omega }\left( {\overline K \times \overline E } \right)$$
$$\overline K \times \overline E $$
$$\omega \left( {\overline K \times \overline E } \right)$$
$$\omega \left( {\overline E \times \overline K } \right)$$
Explanation
Magnetic field vector will be in the direction of $\hat{\mathrm{K}} \times \hat{\mathrm{E}}$
magnitude of $B=\frac{E}{C}=\frac{K}{\omega} E$
Or $\overrightarrow{\mathrm{B}}=\frac{1}{\omega}(\overrightarrow{\mathrm{K}} \times \overrightarrow{\mathrm{E}})$
magnitude of $B=\frac{E}{C}=\frac{K}{\omega} E$
Or $\overrightarrow{\mathrm{B}}=\frac{1}{\omega}(\overrightarrow{\mathrm{K}} \times \overrightarrow{\mathrm{E}})$
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