How do you work out the phase difference between 2 waves?

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SUMMARY

The discussion focuses on calculating the phase difference between two waves, specifically using the phase shift represented by the term θ in the equation sin(t + θ). Two methods for determining θ are highlighted: measuring the time difference between the waves and using the ratio of their displacements at a specific point. Additionally, the concept of superposition is introduced, where the combined wave function is expressed as superposition = sin(t) + sin(t + θ). Understanding these principles is essential for analyzing wave interactions.

PREREQUISITES
  • Basic understanding of wave functions and trigonometry
  • Familiarity with phase shift concepts in wave mechanics
  • Knowledge of superposition principle in physics
  • Ability to visualize and graph waveforms
NEXT STEPS
  • Study the mathematical representation of wave functions in physics
  • Learn about phase shift calculations in sinusoidal waves
  • Explore the superposition principle in more complex wave interactions
  • Investigate graphical methods for analyzing waveforms and their phase relationships
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Students and professionals in physics, particularly those studying wave mechanics, signal processing, or acoustics, will benefit from this discussion.

George321
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The title is all i want to know really.

Any help much appreciated
Also, what is a superposition pattern?
 
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I guess it really depends on what you are able to measure.
But basically, if you have two waves of the same frequency, let's say one is sin(t) and one gets shifted over (think of it visually) then this shift can be represented by an additional term like so sin(t+θ).
So, θ is the "phase shift" you are looking for (in radians).
But like I said, the way this is done depends (at least I think it does) on the situation, because I can think of two different ways to do it. One would use the time (or whatever the independent variable is) difference between the two waves. The other method would use a ratio of the displacements at a certain point. Just draw the two waves and see if you can figure out how to find θ geometrically from what you know.

A superposition is like adding the two waves. For example, using the above wave and it's shifted wave the function for the superposition between the two would be:
superposition = sin(t) + sin(t+θ)
 

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