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A plane wave in a dielectric of relative permittivity 9 has a wavelength that is

  • A.unchanged
  • B.one third of its free space value
  • C.three times its free space value
  • D.one ninth of its free space value

Answer: B

The phase velocity falls by the square root of the relative permittivity while the frequency is fixed by the source, so the wavelength falls by the same factor of three. This shortening is why a dielectric-loaded antenna can be made smaller.

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