Question

The plane monochromatic electromagnetic wave has frequency ?, polarized in the positive ?-axis
direction moving towards the positive ?-axis direction. The amplitude of the electric field is ?0, and
the start of time is chosen so that at ? = 0, the electric field has a value ?0/2 at the origin.
Give answers with only the variables above and speed of light is c and permittivity ?0.

a. Write the electric field of the wave.
b. Find the associated magnetic field.
c. Find the Poynting associated with this wave.
d. Show by direct averaging of the Poynting vector that intensity of the wave is ? =1/2 c ?0 E0^2
e. Find the expression for the momentum density stored in this wave

Answer 1