Calculating PhiG: Understanding the Phase Difference Between Waves at w=1

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SUMMARY

The discussion centers on calculating the phase difference, phiG, between two waves at a frequency of w=1. The correct formula for phiG is established as phiG = (delta t/T)*360, with a specific example yielding phiG = 28.6 degrees. The equation wt + phi = 2pi is referenced, indicating its relevance to wave analysis. Additionally, the conversation highlights the importance of understanding the +/- sign associated with phase differences, which indicates lead or lag in wave behavior.

PREREQUISITES
  • Understanding of wave mechanics and phase differences
  • Familiarity with the concept of wave period and frequency
  • Knowledge of trigonometric functions, particularly sine waves
  • Basic mathematical skills for calculating phase angles
NEXT STEPS
  • Research the derivation of the equation wt + phi = 2pi
  • Study the relationship between period and phase delay of sine waves
  • Explore the impact of lead and lag on waveforms in signal processing
  • Learn about graphical representations of waveforms and their phase differences
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Students and professionals in physics, engineers working with waveforms, and anyone interested in signal processing and wave analysis.

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Given w =1, What is phiG ? Is it the phase difference between the two waves? If it is, isn't it simply phiG = (delta t/T)*360 but I am not getting the right answer.

PhiG = (0.5/2pi)*360 = 28.6

Also I don't know where this wt + phi = 2pi equation comes from.
 
Last edited:
The period appears to be about 6.3 s

The diagram is drawn wierdly. The waveforms appear to have a fixed phase difference everywhere except near t = 0 where one has been deliberately distorted to force it through the point (0,0). That origin region would be best ignored, it is so wrong.

There is also a +/- sign associated with the phase difference, according to whether the system introduces a lead or lag, respectively.

I think you should do a google search on: period and phase delay of sinewave
as mastery of this fundamental material is crucial.
 

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