Aplane monochromatic electromagnetic wave with wavelength λ = 2.2 cm, propagates through a vacuum. its magnetic field is described by

where bx = 3.1 x 10-6 t, by = 3.4 x 10-6 t, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.

1) what is f, the frequency of this wave?

2) what is i, the intensity of this wave?

3) what is sz, the z-component of the poynting vector at (x = 0, y = 0, z = 0) at t = 0?

4) what is ex, the x-component of the electric field at (x = 0, y = 0, z = 0) at t = 0?

5) compare the sign and magnitude of sz, the z-component of the poynting vector at (x=y=z=t=0) of the wave described above to the sign and magnitude of siiz, the z-component of the poynting vector at (x=y=z=t=0) of another plane monochromatic electromagnetic wave propagating through vaccum described by:

h23_eqn2

where biix = 3.4 x 10-6 t, biiy = 3.1 x 10-6 t, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.

siiz < 0 and magnitude(siiz) ≠ magnitude(sz)
siiz < 0 and magnitude(siiz) = magnitude(sz)
siiz > 0 and magnitude(siiz) ≠ magnitude(sz)
siiz > 0 and magnitude(siiz) = magnitude(sz)