What is the lowest frequency for a microphone interference maximum?

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SUMMARY

The lowest frequency that produces an interference maximum at a microphone located 2.00 m from the midpoint of two speakers, which are 0.537 m apart and oscillating 180° out of phase, can be calculated using the principles of wave interference. The path difference must equal an integer multiple of the wavelength for constructive interference. Given the distance and configuration, the calculated frequency is approximately 318 Hz, derived from the speed of sound in air and the geometry of the setup.

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  • Understanding of wave interference principles
  • Knowledge of sound wave properties
  • Familiarity with the speed of sound in air (approximately 343 m/s at room temperature)
  • Basic trigonometry for calculating distances and angles
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  • Calculate interference patterns for different speaker configurations
  • Explore the effects of phase differences on sound wave interference
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A microphone is located on the line connecting two speakers that are 0.537 m apart and oscillating 180° out of phase. The microphone is 2.00 m from the midpoint of the two speakers. What is the lowest frequency that produces an interference maximum at the microphone's location?
 
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Hi rsu,

rsu said:
A microphone is located on the line connecting two speakers that are 0.537 m apart and oscillating 180° out of phase. The microphone is 2.00 m from the midpoint of the two speakers. What is the lowest frequency that produces an interference maximum at the microphone's location?

What have you tried so far?
 

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