The electric field in a plane electromagnetic wave is given by Ez = 60 (5x + 1.5 109 t) V/m Then expression for the corresponding magnetic field is (here subscripts denote the direction of the field) :
- Bz = 60 (5x + 1.5 109 t) T
- By = 60 (5x + 1.5 109 t) T
- By = 2 10-7 (5x + 1.5 109 t) T
- Bx = 2 10-7 (5x + 1.5 109 t) T
Answer
(3) By = 2 10-7 (5x + 1.5 109 t) T
Solution
Speed: k = 1.5 1095 = 3 108 m/s = c
Amplitude of B: B0 = E0c = 603 108 = 2 10-7 T
The phase (5x + t) shows the wave travels along -x. B is perpendicular to E (along z) and to the direction of travel (x), so B is along y; z y = - x confirms the direction of travel.
B and E oscillate in phase: By = 2 10-7 (5x + 1.5 109 t) T
Answer: (3)