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equation for speed of light in a medium. This video shows how to calculate the speed that light will travel at in a material with a known value of refractive index. On this page well derive it from Amperes and Faradays Law.
This means a three with eight zeros behind it ie. In fact it is this equation and the Doppler effect that are behind the speed trap guns used by police forces. Phase velocity in a medium with permeability m and permittivity e and 2.
It is exact because by international agreement a metre is defined as the length of the path travelled by light in vacuum during a time interval of 1 299 792 458 second.
This means a three with eight zeros behind it ie. The units cancel to leave no unit. Indeed light is one form of electromagnetic radiation as are. C 299792458 x 10 8 ms.