An electromagnetic wave travelling in a lossless dielectric medium having a dielectric constant, r = 9, has the electric field, Ex = E0 (kz - 2 106t) Vm-1 where E0 is the amplitude and k is the wave vector. Among the following options, the incorrect choice is
- The direction of propagation of the electromagnetic wave is along +z
- The speed of the electromagnetic wave inside the medium is 108 ms-1
- The wavelength of the electromagnetic wave inside the medium is 300 m
- The magnetic field is given by the relation By = E0v (kz - 2 106t) where v is the speed of the electromagnetic wave inside the medium
Answer
(3) The wavelength of the electromagnetic wave inside the medium is 300 m, (4) The magnetic field is given by the relation By = E0v (kz - 2 106t) where v is the speed of the electromagnetic wave inside the medium
Solution
Speed of wave in the medium:
v = c r = 3 108 9 = 108 m s-1.
Angular frequency = 2 106 rad s-1 f = 106 Hz.
Wavelength = vf = 108106 = 100 m.
Thus, statement (3) is incorrect.
Answer: (3)