For an electromagnetic wave propagating through vacuum, k, E and represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated with this wave is represented by :
- E k
- k E
- ( E k )
- ( k E )
Answer
(2) k E
Solution
In an EM wave E, B and k are mutually perpendicular and the wave travels along E B.
Example: k along i, E along j ⇒ B along k (∵ j k= i), and k is the direction of k E ( i j= k).
Magnitude: B= Ec and c= k ⇒ B= kE
∵ k E, | k E|=kE
∴ B= k E
Answer: (2)