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Maxwell's equations in a source-free region admit solutions in which the fields

  • A.exist only within a bounded region
  • B.propagate as waves at a speed set by the medium
  • C.decay exponentially with distance from the source
  • D.remain constant in time and space

Answer: B

Eliminating one field between the two curl equations gives a wave equation for the other, whose solutions travel at the speed fixed by the permittivity and permeability. That prediction, and its numerical agreement with the measured speed of light, is the crowning result of the theory.

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