Electromagnetic wave phasor conversion

In summary, the conversation discusses the conversion of an electromagnetic E field equation in phasor form to sinusoidal form and addresses questions about its correctness, reflection, and polarization. The wave is determined to be traveling in one direction and it is suggested to graph the wave in the x-y plane to determine its polarization.
  • #1
TheRedDevil18
408
1

Homework Statement


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Homework Equations

The Attempt at a Solution



So I was given the electromagnetic E field equation in phasor form and I converted it to sinusoidal form. Is it correct ?

Also will it be a reflected wave since we have (wt+Bz) and not (wt-Bz) ?

Also will it be circularly polarized since it is constant at all angles ?
 
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  • #2
I don't see a problem statement here - just an assertion.
Is that your working? If so, what were you asked to do?

In your conversion - you are only including the real part?
How can you tell if a wave is reflected without (a) a reflecting boundary, and, (b) knowing the direction of the incident wave?
To check polarization - try checking where the E vector points at different times. ie. ##t=n\pi /2\omega: n=0,1,2,3\cdots##
 
  • #3
TheRedDevil18 said:
So I was given the electromagnetic E field equation in phasor form and I converted it to sinusoidal form. Is it correct ?
Yes
Also will it be a reflected wave since we have (wt+Bz) and not (wt-Bz) ?
No. The wave is traveling in one direction. Which direction?
Also will it be circularly polarized since it is constant at all angles ?
Let t=0 and graph your wave in the x-y plane as a function of the angle θ = 20z = 0, 30, 60, 90, etc. to 360. Should be obvious. Looking in the -z direction, is it CW or CCW polarized?
 

FAQ: Electromagnetic wave phasor conversion

1. What is an electromagnetic wave phasor?

An electromagnetic wave phasor is a mathematical representation of an electromagnetic wave. It is a complex number that describes the amplitude and phase of an oscillating electric or magnetic field at a particular point in space and time.

2. How is an electromagnetic wave phasor converted into a physical wave?

An electromagnetic wave phasor is converted into a physical wave by taking its real part. This involves using the amplitude and phase information to calculate the actual electric and magnetic fields at a given point in space and time.

3. What is the purpose of converting an electromagnetic wave into a phasor?

Converting an electromagnetic wave into a phasor allows for easier mathematical analysis and calculation. It simplifies the complex wave into a single number, making it easier to manipulate and understand.

4. What is the relationship between the amplitude and phase of an electromagnetic wave phasor?

The amplitude of an electromagnetic wave phasor represents the maximum value of the electric or magnetic field, while the phase represents the position of the wave in its oscillation cycle. As the phase changes, the amplitude remains constant, and vice versa.

5. Can an electromagnetic wave phasor be used to describe all types of electromagnetic waves?

Yes, an electromagnetic wave phasor can be used to describe all types of electromagnetic waves, including radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. This is because all electromagnetic waves follow the same mathematical principles and can be represented by a phasor.

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