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A plane electromagnetic wave Ez = 100cos...

A plane electromagnetic wave Ez = 100cos (`6xx10^8` t+ 4x)V/m propagates in a medium. Find the refractive index of the medium.

Text Solution

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Comparing with the equation,
`E=E_0 cos (omegat+kx)`
we get , `omega=6xx10^(8) s^(-1),k=4m^(-1)`
`therefore` The velocity of the electromagnetic wave in the medium
`v=omega/k=(6xx10^8)/4=1.5xx10^8 m.s^(-1)`
The refractive index of the medium ,
`mu=c/v=(3xx10^8)/(1.5xx10^8)=2`
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