Question

A traveling electromagnetic wave in a vacuum has an electric field amplitude of 59.9 V/m. Calculate the intensity of this wave. Then, determine the amount of energy that flows through area of 0.0249 m2 over an interval of 19.7 s, assuming that the area is perpendicular to the direction of wave propagation.

(intensity) S=?

(energy) U=?

Answer 1

The intensity of the electromagnetic wave can be calculated using the electric field amplitude. Then, the amount of energy flowing through a given area over a specific time interval can be determined using the intensity, area, and time values.

Step-by-step explanation:

To calculate the intensity of the electromagnetic wave, we can use the equation:

I = (E0)2/2πμ0

where I is the intensity, E0 is the electric field amplitude, and μ0 is the permeability of free space.

Using the given electric field amplitude of 59.9 V/m, we can substitute the value into the equation to find the intensity.

After calculating the intensity, we can determine the amount of energy that flows through the given area over a given time interval using the equation:

U = I 휅 A 휅 t

where U is the energy, I is the intensity, A is the area, and t is the time interval. Substituting the given values into the equation will give us the amount of energy that flows through the area over the interval.