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Wave Model: Total Phase and Interference Implications

This lecture reviews the simple harmonic wave model, introduces the concept of total phase and phase chart representation, discusses interference and its causes, and explains fixed phase constants. The lecture also covers various phenomena related to interference, such as constructive and destructive interference. Additionally, it explores wavefront representation and highlights the factors that influence the type of interference.

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Wave Model: Total Phase and Interference Implications

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  1. Quiz 1

  2. Physics 7C SS1Lecture 2: Wave Model Total Phase… and Implications for Interference

  3. Agenda • Review Simple Harmonic Wave model • Graphing practice (briefly) • Introduce total phase • Phase chart representation • Introduce interference • Phase chart representation • Causes of interference types

  4. The Total Phase • Making sense of the wave equation: • Using Total Phase Charts:

  5. Total Phase • Which of the following includes only points with a total phase of exactly/2? A) All B) ABC C) ADG D) AEH E) ACF

  6. Total Phase • Which of the following includes only points with a total phase equivalent to /2? A) All B) ABC C) ADG D) AEH E) ACF

  7. Fixed Phase Constant • Which of the following lists only points with a fixed phase constant of exactly to/2? A) All (The wave paramaters apply at all peaks. They share the same amplitude, equilibrium, wavelength, period, and fixed phase constant) B) ABC (These were all at t=0 s for different positions) C) ADG (These were all at x=0 m for different times) D) AEH (These were all at peaks--quite likely the same peak that had traveled, and thus =/2) E) ACF (These were all at peaks, though at least A and C were different peaks.  at each is equivalent to /2)

  8. The Total Phase • Making sense of the wave equation: • Using Total Phase Charts:

  9. Interference: When Waves Meet • Phenomena: • Interfering pulses on the wave machine • Interfering block-wave • Using Total Phase • Equivalent total phase: Constructive • Total phase separated by half-cycle: Destructive

  10. A vibrating object acts as the source of the wave. As a speaker moves through a cycle, it fixes the period and frequency. • A = Amplitude, controlled by what starts the wave • T = Period, how long to get back to where it started  = Wavelength, repeat distance in space T = where f is the frequency Velocity v = 

  11. Interfering Sound Waves What type of interference would result? Constructive Destructive Partial No interference

  12. Interfering Sound Waves + Greater pressure fluctuations More & less intense means louder and softer Greater amplitude

  13. Interfering Sound Waves + Greater pressure fluctuations More & less intense means louder and softer Amplitude is zero

  14. Phase Chart for Interfering Waves • Same rough format, but add difference (most important part!)

  15. What factors might influence type of interference? Anything that helps determine total phase!!!

  16. What is responsible for the destructive interference in this case? x=0 x=/2 x  None of the above

  17. What is responsible for the destructive interference in this case? x=0 x=/2 x  None of the above (and other terms like =0)

  18. Interference for differing frequencies: Beats. 1 2 3 4 5 What type of interference occurs at each point?

  19. Wavefront Representation

  20. Wavefront Representation How long is the marked distance? /2  T/2 T

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