Answer:
[tex]intensity = 12.98 W/m^2[/tex]
[tex]Energy = 3.93 J[/tex]
Explanation:
As we know that the magnitude of electric field intensity is given as
[tex]E = 98.9 V/m[/tex]
now we know that intensity of the wave is given as the product of energy density and speed of the wave
[tex]intensity = \frac{1}{2}\epsilon_0 E^2 c[/tex]
[tex]intensity = \frac{1}{2}(8.85 \times 10^{-12})(98.9)^2(3\times 10^8)[/tex]
[tex]intensity = 12.98 W/m^2[/tex]
so intensity is the energy flow per unit area per unit of time
so the energy that flows through the area of 0.0259 m^2 in 11.7 s is given as
[tex]Energy = Area \times time \times intensity[/tex]
[tex]Energy = 0.0259(11.7)(12.98)[/tex]
[tex]Energy = 3.93 J[/tex]