A plane EM wave is propagating along x direction. It has a wavelength of 4 mm. If electric field is in y direction with the maximum magnitude of 60 V m-1, the equation for magnetic field is :
- Bz = 2 10-7 [ 2 (x - 3 108 t ) ] k T
- Bz = 2 10-7 [ 2 103 (x - 3 108 t ) ] k T
- Bz = 60 [ 2 (x - 3 108 t ) ] k T
- Bx = 60 [ 2 (x - 3 108 t ) ] i T
Answer
(2) Bz = 2 10-7 [ 2 103 (x - 3 108 t ) ] k T
Solution
Amplitude: B0 = E0c = 603 108 = 2 10-7 T
Wave number: k = 2 = 2 4 10-3 = 2 103 m-1
Since E B points along the propagation, j k = i, so B is along z.
Hence Bz = B0 [k(x - ct)] k = 2 10-7 [ 2 103 (x - 3 108 t ) ] k T
Answer: (2)