The intensity of the electromagnetic wave is 605.95 W/m^2 and the energy flowing through the area is 303.48 J.
To calculate the intensity of an electromagnetic wave, we can use the formula:
I = (E0)2 / (2ρ)
where I is the intensity, E0 is the electric field amplitude, and ρ is the impedance of free space (~377 Ω).
Given that the electric field amplitude is 72.7 V/m, we can substitute this value into the formula:
I = (72.7)2 / (2 × 377)
Solving this equation gives us the intensity: I = 605.95 W/m2
To calculate the amount of energy flowing through an area, we can use the formula:
U = I × A × t
where U is the energy, I is the intensity, A is the area, and t is the time interval.
Substituting the given values of I = 605.95 W/m2, A = 0.0263 m2, and t = 19.7 s into the formula:
U = 605.95 × 0.0263 × 19.7
Solving this equation gives us the energy: U = 303.48 J