A uniform plane wave propagating in air (µ = H,, 6 = 5,) hits a lossless dielectric material (w = 4.,8 = 6,8,) at the planar boundary at z - 0 as shown in the figure. The incident electric field phasor is given as 10 The transmitted wave is known to propagate at an angle 6, = 30° as shown. Also, the oscillation frequency of the uniform plane wave is given to be f - 300 MH:. a) Find the relative permittivity &, of the dielectric medium. b) Obtain the phasor expressions for the reflected electric field E' and the transmitted field E' (your results should contain no unknowns). Medium 1 Medium 2 Lossless dielectric air 30 +2 Ei 2 =0 planar beundary IL

A uniform plane wave propagating in air (µ = H,, 6 = 5,) hits a lossless dielectric material (w = 4.,8 = 6,8,) at the planar boundary at z - 0 as shown in the figure. The incident electric field phasor is given as 10 The transmitted wave is known to propagate at an angle 6, = 30° as shown. Also, the oscillation frequency of the uniform plane wave is given to be f - 300 MH:. a) Find the relative permittivity &, of the dielectric medium. b) Obtain the phasor expressions for the reflected electric field E' and the transmitted field E' (your results should contain no unknowns). Medium 1 Medium 2 Lossless dielectric air 30 +2 Ei 2 =0 planar beundary IL