A uniform plane wave with E = Exx propagates in a lossless simple medium (& = 4, µr = 1, σ= 0) in the +z direction. Assu

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A uniform plane wave with E = Exx propagates in a lossless simple medium (& = 4, µr = 1, σ= 0) in the +z direction. Assume that Ex is sinusoidal with a frequency 100 (MHz) and has a maximum value of +104 (V/m) at t = 0 and z = 1/8 (m). (a). Write down the dispersion relation for this wave. [1] (b). Evaluate wavevector k for this wave in rad /m. [1] (c). Write the instantaneous expression for E for any t and z. [2] (d). Calculate VxE. [2] (e). Calculate the instantaneous expression for H using Faraday's Law of Induction. [2] (f). Determine the locations where Ex is a positive maximum when t = 10-8 s. [2] (g). Plot the E and H field waves in a xyz Cartesian coordinate system, specifying the positive maximum locations for E and H. Plot at least one wavelength. [3] (h). Calculate the maximum intensity of the wave. [2] (1). Explain how you could modify the E field so that you could change this uniform plane wave to a circularly polarised wave. [3]