4. Electromagnetic Waves. 2580 3 In a non-conducting medium with = and =3o, the magnetic field of a plane polarized electromagnetic wave is given by: F(x, t) = Hosin(wt + kx) (a) Determine the phasor (x) of (x, t). (b) Determine the phasor E(x) using Maxwell's phasor equations. (c) Determine the electric field E(x, t). [5 marks] [9 marks] [5 marks] (d) Express k (wavenumber) as a function of and c (the speed of light). [1 mark] (e) Sketch a diagram of the electromagnetic wave at t=0 and indicate the direction of propagation. Show the electric and magnetic field direction. [5 marks]