The electric field for a sinusoidal electromagnetic wave is
E = E0 sin(ky+wt) i
with E0 =40 V/m and k = 1.40E+8 m-1.
Select the direction of propagation for this wave.
Find the wave number of the wave.
Find the wavelength of the wave.
Find the period of the wave.
Find the frequency of the wave.
Find the angular frequency of the wave.
Find the speed of the wave.
Find the amplitude of the magnetic field.
For sinusoidal electromagnetic waves, the magnetic field and the electric field are in phase, so they both have the same trigonometeric function assocoiated with them (no phase shift). For the wave described above, which unit vector will be associated with the magnetic field?
Let the direction be along the positive Z axis
The wave number is
The wavelength is
The speed of the wave is
The angular frequency is
The period of the wave is
The amplitude of the magnetic field is
The direction of magnetic field is such that the cross product of electric field's unit vector with magnetic field's unit vector will give the direction of propagation. Since the unit vector of the direction of propagation is k and the electric field is i, the magnetic field will be Y direction
Hence unit vector will be associated with the magnetic field is j
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