What Is True About Sinusoidal Electromagnetic Waves?

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Homework Help Overview

The discussion revolves around understanding properties of sinusoidal electromagnetic waves, specifically evaluating statements related to energy, momentum, and field characteristics. Participants are also exploring concepts related to inductors in AC circuits.

Discussion Character

  • Conceptual clarification, Assumption checking, Exploratory

Approaches and Questions Raised

  • The original poster attempts to analyze multiple statements regarding electromagnetic waves, ruling out some based on their understanding of energy density and field relationships. Other participants suggest applying relevant formulas to clarify the energy density of electromagnetic fields.

Discussion Status

The discussion includes various interpretations of the statements, with some participants providing guidance on how to approach the problem. There is no explicit consensus reached on the correct answer, as one participant claims to have identified a correct option.

Contextual Notes

The original poster expresses uncertainty about the terminology used in a related question involving inductors and sinusoidal voltage sources, indicating potential gaps in understanding that may affect their ability to engage with the material fully.

Annie1011
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I have a question given to me by my professor:

Which statement is true concerning a sinusoidal varying electromagnetic wave?

a) The energy in the wave is mostly associated with the electric field because the magnetic field has a very small value. The reason for this is that B=E/c and "c" is a large number (c=speed of light, 3*10^8 m/s)

b) The momentum in the wave is zero because the wave continuously oscillates between positive and negative values.

c) The average magnetic field in the wave is zero.

d) The total energy in the wave is proportional to the sum of amplitudes of the electric and magnetic fields.

e) The energy density in the wave is proportional to the amplitude of the magnetic field.

f) The wave's intensity is inversely proportional to the energy density in the wave.


So far I have ruled out b, e (it should be proportional to the square of the electric field), and f (it is directly proportional). Other than this progress I am stuck. So any advice on how to rule out any other answers, or if I have ruled out the incorrect answer would be greatly appreciated!


I also have a question with an inductor that is connected to a sinusoidal varying voltage source, and one question asks for the reactance of the inductor, and I am caught up on the verbiage and do not know where to start.

Thanks for your time and help!
 
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For a) Apply the formula for the energy density of an electromagnetic field:

u=\frac{1}{2}\left(\epsilon_0E^2+\frac{1}{\mu_0}B^2\right)

and the relation between E and B for your wave.
 
An amature question

How to bend light using electrical fields or magnetic fields ?

Since Light are electromagnetic waves.

The answer to this question can be used to create most powerfull telescopes without refractions or mirrors.
 
I found out that the answer to this is c. Thansk for the replys!

Annie
 

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