The instantaneous electric field intensity vector of a wave travelling in a lossy nonmagnetic medium is given by V/m (t in s and y in m). The magnetic field of the wave lags the electric field by . Under these circumstances, find
(a) relative permittivity and conductivity of the medium;
(b) the complex propagation coefficient;
(c) the instantaneous magnetic field intensity vector;
(d) the time-average Poynting vector of the wave.