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A plane wave with a frequency of 3Glz is propagating in an unbounded material with ϵr=7 and μr=3. Compute the wavelength. phase velocity, and wave impedance for this wave.
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Solution:

From the phase velocity is,

vp=1μϵ=cμrϵr=3×108(7)(3)=6.55×107 m/sec.

This is slower than the speed of light in free space by a factor of 21=4.58. From (1.48) the wavelength is,

λ=vpf=6.55×1073×109=0.0218 m.

The wave impedance is,

η=μϵ=η0μrϵr=37737=246.8Ω.

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