Chapter 14

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# Chapter 14 - PowerPoint PPT Presentation

Chapter 14. Superposition &amp; Standing waves. The Principle of Superposition. If two or more traveling waves are moving through a medium, the resultant wave function at any point is the algebraic sum of the wave functions of individual waves.

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## PowerPoint Slideshow about 'Chapter 14' - nenet

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Presentation Transcript

### Chapter 14

Superposition &

Standing waves

The Principle of Superposition
• If two or more traveling waves are moving through a medium, the resultant wave function at any point is the algebraic sum of the wave functions of individual waves.
• Two traveling waves can pass through each other without being destroyed or even altered.

Amplitude

Phase angle

Interference of Waves
• Two waves traveling to the right
• According to the principle of superposition, the resultant wave is:
Interference of Waves
• Some source of disturbance;
• A medium;
• Some physical mechanism through which particles of the medium can influence one another.

In phase f=0,

constructive interference

Out of phase f=p, destructive interference

Other phase f=p/3, y falls to somewhere between the extremes

The function of a standing wave

Standing Waves
• Two waves, one traveling to the right and one to the left
• According to the principle of superposition, the resultant wave is:
Standing Waves
• In physics, a standing wave – also known as a stationary wave – is a wave that remains in a constant position.
Standing Waves in Strings

The wavelength of the nth mode of vibration

Standing Waves in Strings
• The fundamental frequency of vibration is adjusted by pressing and releasing the finger.
• The length of string is changed!
A two-dimensional standing wave on a disk

the fundamental mode

A higher harmonic standing wave on a disk with two nodal lines crossing at the center.

Amplitude varies in time

Beats: Interference in Time
• The displacement that each wave produced at a fixed point
• According to the principle of superposition, the resultant displacement: