Question

A plane monochromatic electromagnetic wave with wavelength λ = 5.8 cm, propagates through a vacuum. Its magnetic field is described by

ωωωωωωB→=(Bxi^+Byj^)cos⁡(kz+ωt)

where B_x = 1.6 X 10^-6 T, B_y = 4.3 X 10^-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.

f = 5.17GHz

I = 2512.6 W/m^2

3)

What is S_z, the z-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0?

Thank you for your help!

Answer 1

So z-component of poynting Vector is given by,

So,

Now so electric field component we determine as

So k- hat is along z- direction so we write,

And

So we write poynting Vector



So we plug this values here and get,