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In a plane electromagnetic wave, the ele...

In a plane electromagnetic wave, the electric field oscillates sinusoidally at a frequency of `2.0xx10^10`Hz and amplitude `48Vm^(-1)`. The total energy density of the electromagnetic field of the wave is :

A

`2.0xx10^(-7)Jm^(-3)`

B

`2.0xx10^(-8) Jm^(-3)`

C

`2.0xx10^(-9)Jm^(-3)`

D

`2.0xx10^(-10)Jm^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Total energy density is equal to sum of electric and magnetic energy densities (which are equal in magnitude).
`therefore` Energy density `=1/2 epsilon_0E^2 + B^2/(2mu_0) =1/2 epsilon_0E^2+1/2epsilon_0E^2 = epsilon_0E^2 =8.85xx10^(-12) xx(48)^2=2xx10^(-8)J//m^3`
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