Question

How much energy is transported across a

1.00cm2area per hour by an EM wave whose electric field has an
rmsstrength of 21.5V/m?

Answer 1

To determine the energy transported by an EM wave, we need to calculate the intensity and multiply it by the area and time period.

Step-by-step explanation:

To calculate the energy transported across an area by an EM wave, we need to determine the intensity of the wave and the time period over which the energy is transported. The intensity of an EM wave is given by the formula:

Intensity (I) = (1/2) * ϵ * c * E2

Where ϵ is the permittivity of the medium, c is the speed of light, and E is the root mean square (RMS) strength of the electric field. Given that the electric field strength is 21.5 V/m, we can find the intensity of the wave. We then multiply the intensity by the area and time period to find the energy transported.

Let's start by calculating the intensity:

I = (1/2) * ϵ * c * E2

Substituting the given values:

I = (1/2) * (8.85 x 10-12 F/m) * (3 x 108 m/s) * (21.5 V/m)2

After calculating the intensity, we can then multiply it by the area and time period to find the energy transported.

Answer 2

Step-by-step explanation:

Let us assume that Z is the energy transported across an area of
`1.00 cm^(2)` per hour by an electromagnetic wave with an r.m.s speed of 21.5 V/m.

Therefore, first we will calculate the current as follows.

I =
`(E_(rms^(2)))/(c * \mu_(o))`

=
`(10^(-4) * 3600 * (21.5)^(2))/(3 * 10^(8) * 4 * 3.14 * 10^(-7))`

= 0.441 J

Therefore, we can conclude that 0.441 J energy is transported across a given EM wave.