An electromagnetic wave in a source-free, homogenous and lossless region has the electric field intensity (x,y,z,t)

An electromagnetic wave in a source-free, homogenous and lossless region has the electric field intensity Ē (x,y,z,t) = E, e-ax sin(wt – By) â, where E., a and B are real constants. The medium is characterized by the permittivity e and permeability u. a) Evaluate the divergence of E, and comment on your result. b) Find the expression for the phasor electric field intensity E(x, y, z). c) Determine the relationship among a,ß,w, € and u. (Hint: use the equation which must be satisfied by phasor E) d) Determine the associated phasor magnetic field intensity Ħ(x,y,z). e) Evaluate the divergence of H, and comment on your result.