A traveling electromagnetic wave in a vacuum has an electric field amplitude of 81.1 V/m. Calculate the intensity S of this wave. Then, determine the amount of energy U that flows through the area of 0.0253 m^2 over an interval of 19.9 s, assuming that the area is perpendicular to the direction of wave propagation.

Respuesta :

Answer:

U = 4.39 J

Explanation:

Electric field energy stored in the medium or vacuum is given as

[tex]U = \frac{1}{2}\epsilon_0 E^2 V[/tex]

here we know that

[tex]\epsilon_0 = 8.85 \times 10^{-12} [/tex]

E = 81.1 V/m

V = volume

[tex]V = (0.0253)(speed \times time)[/tex]

[tex]V = (0.0253)(3\times 10^8 \times 19.9)[/tex]

[tex]V = 1.51 \times 10^8 m^3[/tex]

now from above formula we have

[tex]U = \frac{1}{2}(8.85 \times 10^{-12})(81.1)^2(1.51 \times 10^8)[/tex]

[tex]U = 4.39 J[/tex]