how much energy is transported across a 1.25 cm2 area per hour by an em wave whose e field has an rms strength of 36.8 mv/m ? the wave travels in free space. express your answer using three significant figures.

Answers

Answer 1

Energy = Power x 3600 s

Calculating this would yield the amount of energy transported across the given area per hour by the electromagnetic wave.

To calculate the energy transported by an electromagnetic wave, you can use the formula:

Energy = Power x Time

The power carried by an electromagnetic wave is given by the formula:

Power = (1/2)ε₀cE²

where:

ε₀ is the permittivity of free space (8.85 x 10⁻¹² C²/(N·m²)).

c is the speed of light in a vacuum (approximately 3 x 10⁸ m/s).

E is the RMS strength of the electric field (36.8 mV/m = 36.8 x 10⁻³ V/m).

First, let's convert the area to square meters:

Area = 1.25 cm² = 1.25 x 10⁻⁴ m²

Next, we can calculate the power:

Power = (1/2)ε₀cE²

= (1/2) x 8.85 x 10⁻¹² C²/(N·m²) x (3 x 10⁸ m/s) x (36.8 x 10⁻³ V/m)²

Now, we can calculate the energy transported in one hour (3600 seconds):

Energy = Power x Time

= Power x 3600 s

Finally, we can plug in the values and calculate the energy:

Power = (1/2) x 8.85 x 10⁻¹² C²/(N·m²) x (3 x 10⁸ m/s) x (36.8 x 10⁻³ V/m)²

Energy = Power x 3600 s

Calculating this would yield the amount of energy transported across the given area per hour by the electromagnetic wave.

To know more about electromagnetic wave, refer to the link below:

https://brainly.com/question/29774932#

#SPJ11


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