Electromagnetic WavesMedium
Question
For an electromagnetic wave propagating through vacuum, $\overrightarrow{k},\overrightarrow{E}$ and $\omega$ represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated with this wave is represented by :
Options
A.$\frac{\overrightarrow{E} \times \overrightarrow{k}}{\omega}$
B.$\frac{\overrightarrow{k} \times \overrightarrow{E}}{\omega}$
C.$\omega(\overrightarrow{E} \times \overrightarrow{k})$
D.$\omega(\overrightarrow{k} \times \overrightarrow{E})$
Solution
Sol. [Key Concept: For an EM wave $E,B,k$ are mutually perpendicular, so $B = \frac{1}{\omega}(k \times \ E)$.]
$$\overrightarrow{B} = \frac{1}{\omega}(\overrightarrow{k} \times \overrightarrow{E}) $$
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