Electromagnetic waves [simple one]

In summary, the conversation discussed the broadcast of a sinusoidal radio signal by a public television station at a power of 316 kW in San Francisco. The question asked about the average density of energy at a home 6.00 km away from the antenna, and the percentage of this energy due to the electric and magnetic fields. The equation used for the energy density was u= P/ (c*a), and a relation between E and B for plane EM waves was needed to calculate the percentages.
  • #1
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Homework Statement



Public television station KQED in San Francisco broadcasts a sinusoidal radio signal at a power of 316 kW. Assume that the wave spreads out uniformly into a hemisphere above the ground.


At a home 6.00 km away from the antenna, what is the average density of the energy this wave carries?

For the energy density in part (a), what percentage is due to the electric field?

For the energy density in part (a), what percentage is due to the magnetic field?

Homework Equations



u= P/ (c*a)

u=1/2*epsilon* E^2 + 1/2mu * B^2

The Attempt at a Solution


i managed to do part A, by using equation u=P/(c*a)

i don't know how to get the percentage,, please advise
 
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  • #2
The equation for the energy density you have quoted is a good starting point. To find the required percentage, you need to have a relation between E and B for plane EM waves. Can you think of one?
 

Related to Electromagnetic waves [simple one]

What are electromagnetic waves?

Electromagnetic waves are a type of energy that consist of electric and magnetic fields oscillating at right angles to each other. They are responsible for carrying energy and information through space.

What is the difference between electromagnetic waves and light?

Electromagnetic waves and light are essentially the same thing. Light is a type of electromagnetic wave that is visible to the human eye, while other types of electromagnetic waves, such as radio waves, microwaves, and X-rays, are not visible.

How are electromagnetic waves created?

Electromagnetic waves are created by accelerating electric charges. This can happen naturally, such as with lightning, or artificially, such as with electronic devices.

What is the speed of electromagnetic waves?

The speed of electromagnetic waves in a vacuum is approximately 299,792,458 meters per second, or about 186,282 miles per second. This speed is often referred to as the speed of light.

What are some common uses of electromagnetic waves?

Electromagnetic waves have a wide range of uses, including communication (such as radio waves and microwaves), energy production (such as solar panels), medical imaging (such as X-rays), and cooking (such as microwaves). They are also used in many scientific and technological applications, such as telescopes and radar systems.

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