# 16 superposition and standing waves superposition of waves standing waves additional: superposition...

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Terminology Phase Difference: The fractional part of a period which represents the offset in peak positions of waves. Coherence: The existence of a correlation between the phases of two or more waves such that interference effects can be observed. Interference: The variation with distance or time of the amplitude of a wave which results from the superposition of two or more waves.

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• 16 Superposition and Standing WavesSuperposition of WavesStanding WavesAdditional: Superposition of Standing Waves, Harmonic Analysis & Synthesis

Hk: 1, 29, 33, 47, 51.

• Superposition Principle

• TerminologyPhase Difference: The fractional part of a period which represents the offset in peak positions of waves.Coherence: The existence of a correlation between the phases of two or more waves such that interference effects can be observed. Interference: The variation with distance or time of the amplitude of a wave which results from the superposition of two or more waves.

• InterferenceConstructive Interference: Resultant amplitude is larger than either individual wave.Destructive Interference: Resultant amplitude is less than either individual wave.

• Destructive Interference:Constructive Interference:Examples

• Phase Difference

• Constructive Interference

• Standing WavesAmplitude is zero at fixed endsNodes (other places with zero amplitude)Anti-nodes (places with maximum amplitude)

a wave in which the amplitude at a given location does not vary with time.Standing Wave Features:

• Standing Wave: Both Ends Fixed

• Standing Wave: One End Fixed, One End Free

• fourier analysis

• SummarySuperposition results in interference Interference can occur due to Path DifferenceStanding Waves, and conditions forHarmonics and Fourier Analysis/