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) For a plane wave propagating in a non-magnetic medium with an electric field described by (all units in the international system): Ē = 8 sin(20. 10°rt - 1001x)9 +5 cos(20. 10° rt t - 1001x)2 - - i) Calculate the wavelength. (3 marks) ii) Calculate the relative permittivity and impedance of the medium. (6 marks) ii) Write the full time-dependent expression (equivalent to the expression given for the electric field above) for the magnetic field H associated with this plane wave. (4 marks) b) For a propagating plane-wave in free space with electric field described by all units in the international system): E = 50e - fmx/10 (X + 9) i) Calculate the magnitude of E. (3 marks) ii) Calculate the angular frequency a. (3 marks) iii) Obtain the polarisation of this wave. By calculating the magnitude and angle of the electric field with respect to the x-axis at z = 0 and times t1 = 0, t2 = 6 and to = 12 ns verify the polarisation obtained.