A magnetic field vector in an electromagnetic wave is represented by B=B0 (2 t- 2 x ) j. Its associated electric field vector is .
- E=- B0 (2 t- 2 x ) k
- E=- B0 (2 t- 2 x ) i
- E= B0 (2 t- 2 x ) k
- E= B0 (2 t- 2 x ) i
Answer
(1) E=- B0 (2 t- 2 x ) k
Solution
From the phase (2 t- 2 x ), the wave travels along +x.
B is along j, and the direction of propagation is along E B.
(- k ) j= i E is along - k (in phase with B)
[figure]
E0=cB0 and c= E0= B0
E=- B0 (2 t- 2 x ) k
Answer: (1)