Lecture 8 - Standing Waves (Ch. 14.3-14.5)

# Lecture 8 - Standing Waves (Ch. 14.3-14.5) - Lecture 8...

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Lecture 8 Superposition and Standing Waves Ch 14

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Consider the superposition of two sinusoidal waves moving to the right with the same frequency and wave number along the SAME STRING: Total: A Constant that depends on the difference in phase Result is a sinusoidal wave, traveling to the right but with a different amplitude that depends on the phase difference.

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Wavelength shift and phase difference o It is often useful to express the phase difference between two waves in terms of the fraction of the wavelength. o For example: a phase difference of φ = π /2 is a 1/4th wavelength shift.
Standing Waves Suppose you have 2 waves traveling in opposite directions in the same medium. Use again: Not a traveling wave, but rather a wave that oscillates in space with an amplitude that varies in time. This is a standing wave.

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Standing Wave (Black Line) N= Node: where the amplitude of the summed wave is zero AN= Antinode: where the amplitude of the summed wave is maximum N N
Standing Wave

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Nodes & Antinodes Antinodes occur when Nodes occur when Distance between a Node and adjacent Antinode is λ /4.
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Lecture 8 - Standing Waves (Ch. 14.3-14.5) - Lecture 8...

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