CIE A Level Physics復習筆記8.1.1 The Principle of Superposition
The Principle of Superposition
- The principle of superposition states that?when two or more waves with the same frequency travelling in opposite directions overlap, the resultant displacement is the sum of displacements of each wave
- This principle describes how waves which meet at a point in space interact
- When two waves with the same frequency and amplitude arrive at a point, they superpose either:
- in?phase, causing?constructive interference.?The peaks and troughs line up on both waves. The resultant wave has double the amplitude
- or, in?anti-phase, causing?destructive interference.?The peaks on one wave line up with the troughs of the other. The resultant wave has no amplitude
Waves in superposition can undergo constructive or destructive interference
- The principle of superposition applies to all types of waves i.e. transverse and longitudinal
Worked Example
Two overlapping waves of the same types travel in the same direction. The variation with x and y displacement of the wave is shown in the figure below.
Use the principle of superposition to sketch the resultant wave.
Exam Tip
The best way to draw the superposition of two waves is to find where the superimposed wave has its maximum and minimum amplitudes. It is then a case of joining them up to form the wave. Where the waves intersect determines how much constructive or destructive interference will occur.
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