What is the phase difference ?

In summary, the phase difference between two particles executing periodic motion in a wave traveling through a medium can be calculated by finding the difference in the "angle" of the sinusoid equation. This can be done by setting one particle at a distance of 0 and the other at a distance of 200, and then calculating the difference between their respective values inside the equation. The resulting phase difference will be in radians.
  • #1
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Homework Statement



When a wave travels through a medium, individual particles execute a periodic motion given by the equation : y = 4.0 sin[ pi/4(2 t + x/8)]

where y and x in meters and t in seconds the phase difference at any given instant are 20.0 m apart is
 
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  • #2
The phase difference is just the difference in the "angle" (ie the values inside the sinusoid). In this case the time is the same, and can be ignored. Also since you're only worried about the distance (not absolute position) you may as well set one of the particles at x1=0 and other at x2=200 (you could have made the distances arbitrary, as long as x2-x1=200).

To calculate the phase difference you just grind out the math x2/8-x1/8. Just note that this will give you a phase difference in radians.

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theUndergrad

http://www.theUndergraduateJournal.com
 
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  • #3
thank you very much I have solved the problem
 

What is the phase difference?

The phase difference is a measurement of the difference in the position of two waves at a given point in time. It is usually measured in degrees or radians and represents the difference in the starting point of the waves.

How is the phase difference calculated?

The phase difference is calculated by finding the difference in the phase angles of two waves at a specific point in time. This can be done by measuring the distance between two corresponding points on the waves, such as the peaks or troughs.

Why is phase difference important?

Phase difference is important because it affects how two waves interact with each other. When two waves with the same frequency and amplitude are in phase (with a phase difference of 0 degrees), they will reinforce each other and create a larger amplitude. However, if they are out of phase (with a phase difference of 180 degrees), they will cancel each other out and create a smaller amplitude.

What is the difference between phase difference and time difference?

Phase difference is a measurement of the difference in position of two waves, while time difference is a measurement of the difference in time between two events. In terms of waves, time difference can affect the wavelength and frequency of a wave, while phase difference does not.

How does phase difference affect interference patterns?

Phase difference plays a crucial role in determining the interference pattern of two or more waves. When the phase difference is an integer multiple of 360 degrees (or 2π radians), the waves will be in phase and create a constructive interference pattern. However, when the phase difference is a non-integer multiple, the waves will be out of phase and create a destructive interference pattern.

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