JEE Mains · Physics · STD 12 - 8. Electromagnetic waves
For an electromagnetic wave propagating through vacuum, \(\vec{k}\), \(\vec{E}\) and \(\omega\) represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated with this wave is represented by :
- A \(\dfrac{\vec{E} \times \vec{k}}{\omega}\)
- B \(\dfrac{\vec{k} \times \vec{E}}{\omega}\)
- C \(\omega(\vec{E} \times \vec{k})\)
- D \(\omega(\vec{k} \times \vec{E})\)
Answer & Solution
Correct Answer
(B) \(\dfrac{\vec{k} \times \vec{E}}{\omega}\)
Step-by-step Solution
Detailed explanation
For an electromagnetic wave, the direction of wave propagation \(\hat{k}\) is along the direction of \(\vec{E} \times \vec{B}\). Since \(\vec{E}\), \(\vec{B}\), and \(\vec{k}\) form a mutually perpendicular right-handed system, the direction of the magnetic field is given by…
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