Energy in Electromagnetic Waves Electromagnetic waves transport energy. This problem shows you which parts of the energy are stored in the electric and magnetic fields, respectively, and also makes a useful connection between the energy density of a plane electromagnetic wave and the Poynting vector In this problem, we explore the properties of a plane electromagnetic wave traveling at the speed of light calong the x axis through vacuum. Its electric and magnetic field vectors are as follows E=E0 sin (ka -wt)3. B = B0 sin (kx-wt) k Throughout, use these variables (E, B, Eo, Bo, k, x, and w) in your answers. You will also need the permittivity of free space eo and the permeability of free space 140 Note: To indicate the square of a trigonometric function in your answer, use the notation sin(x)A2 NOT sinA2(x)