The electric field in a plane electromagnetic wave is given by : Ey = 69 [0.6 103x - 1.8 1011t ] V/m. The expression for magnetic field associated with this electromagnetic wave is T.
- Bz = 2.3 10-7 [0.6 103x - 1.8 1011t ]
- Bz = 2.3 10-7 [0.6 103x + 1.8 1011t ]
- By = 2.3 10-7 [0.6 103x - 1.8 1011t ]
- By = 69 [0.6 103x + 1.8 1011t ]
Answer
(1) Bz = 2.3 10-7 [0.6 103x - 1.8 1011t ]
Solution
Phase (kx - t) wave travels along +x; speed = k = 1.8 10110.6 103 = 3 108 m/s
B0 = E0c = 693 108 = 2.3 10-7 T
B is perpendicular to both E (y-direction) and the direction of propagation (x), and E B is along +x:
j k = i B is along z, in phase with E
Bz = 2.3 10-7 [0.6 103x - 1.8 1011t ] T
Answer: (1)