A vector field as Ē= C cos(wt + kx) ŷ V/m is given in a source-free dielectric medium ( Pv = 0, 0 = 0, 1 = 0) where c is the amplitude of the field, w is the angular frequency, and k is a constant quantity. W (a) Show that this electric field can exist (find the condition). (b) determine the instantaneous power density (Poynting vector). (c) calculate the displacement current density. (d) determine the instantaneous energy densities in the electric and magnetic fields. (e) check that E, H, and s are perpendicular to each other.

A vector field as Ē= C cos(wt + kx) ŷ V/m is given in a source-free dielectric medium ( Pv = 0, 0 = 0, 1 = 0) where c is the amplitude of the field, w is the angular frequency, and k is a constant quantity. W (a) Show that this electric field can exist (find the condition). (b) determine the instantaneous power density (Poynting vector). (c) calculate the displacement current density. (d) determine the instantaneous energy densities in the electric and magnetic fields. (e) check that E, H, and s are perpendicular to each other.