Question

# The electric field for a sinusoidal electromagnetic wave is E = E0 sin(ky+wt) i with E0...

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?

#### Homework Answers

Answer #1

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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