Question

(1) a uniform plane electromagnetic wave propagates in a lossless dielectric medium of infinite extent. the electric field in the wave has the instantaneous expression E(r,t) = (iz square root 3 - ix) (5/2) cos(6pi.10^8t - 3 square root 3piz - 3pix), V/m. 1) what is the wavelength of the wave in m? 2) what is the direction of propagation of the wave? 3) what is the relative refractive index of the dielectric medium? 4) what is the instantaneous expression of the wave magnetic field? 5) what is the phasor expression for the wave electric field? (2) for the UPEMW in problem (1) above, find 1) the instantaneous Poynting vector P(r,t), and 2) the time-average Poynting vector Pav(r) associated with the wave. Finally, prove the formula you used for finding the time-average Poynting vector Pav( λ).