Electromagnetic wave phasor conversion

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SUMMARY

The discussion focuses on the conversion of electromagnetic E field equations from phasor form to sinusoidal form. The participants confirm that the conversion is correct and clarify that the presence of (wt+Bz) indicates a wave traveling in one direction, not a reflected wave. Additionally, they address the polarization of the wave, stating that it can be determined by analyzing the E vector at various angles, concluding that the wave's polarization can be identified as either clockwise (CW) or counterclockwise (CCW) when graphed in the x-y plane.

PREREQUISITES
  • Understanding of electromagnetic wave equations
  • Familiarity with phasor representation of waves
  • Knowledge of wave polarization concepts
  • Ability to graph functions in the x-y plane
NEXT STEPS
  • Study the conversion techniques between phasor and sinusoidal forms of electromagnetic waves
  • Learn about wave reflection and the conditions required for it
  • Explore the mathematical representation of wave polarization
  • Practice graphing electromagnetic waves in the x-y plane to analyze their properties
USEFUL FOR

Students and professionals in physics, electrical engineering, and anyone studying electromagnetic wave behavior and properties.

TheRedDevil18
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Homework Statement


upload_2016-12-3_19-8-48.png


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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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##
 
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?
 

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