Wave phase difference

We can describe the position of a wave using an angle: that’s called the phase of the wave.

The start of the wave is at 0 radians.

The next full cycle of the wave happens at 2\pi radians (360\degree).

This means that the phase difference between two peaks, troughs or wave cycles is 2\pi radians (360\degree).

Phase and antiphase

Moving one wave by half a wavelength

If we move along a wave by half a wavelength, we move by a phase difference of \pi radians.

This means that if we start at a peak, and move half a wavelength along the wave, we’ll end up at a trough, for example.

flashcards

QuestionAnswer
What is the term for describing the position of a wave using an angle?Phase
What is the phase angle at the start of a wave?0 radians
What is the phase angle at the end of a full wave cycle?2\pi radians (360\degree)
What is the phase difference between two peaks, troughs, or wave cycles?2\pi radians (360\degree)
If the phase difference between two points on a wave is 2\pi radians, what is the relationship between the points?The points are in phase and are doing exactly the same thing
If the phase difference between two points on a wave is \pi radians, what is the relationship between the points?The points are in antiphase and are doing opposite things
What phase difference corresponds to moving along a wave by half a wavelength?\pi radians
If you start at a peak and move half a wavelength along the wave, where do you end up?At a trough
If two waves were previously in phase, what is their phase relationship after moving one wave by half a wavelength?They will be in antiphase
If two waves were previously in antiphase, what is their phase relationship after moving one wave by half a wavelength?They will be in phase