Question on destructive and constructive interference

  • #1
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Homework Statement


Two speakers A and B are 3.50m apart and each one is emitting a frequency of 444Hz. However because of signal delays, speaker A is 1/4 of a period ahead of B. Find all points relative to the centerline between A and B where there is constructive interference. Include angles on both sides of centerline, speed of sound is 340m/s

Homework Equations


dsinθ = (m+?)λ

d = 3.5m
λ = v/f

The Attempt at a Solution



I know there is a need to compensate for the initial 1/4 phase difference as the usual equation assumes both sources are in phase. I just don't know how to do it.
 

Answers and Replies

  • #2
DrClaude
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What is the relation between position and phase?
 
  • #3
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What is the relation between position and phase?
Is it that any position where 2 waves are half a wavelength out of phase cancel while 2 that are in phase constructively interfere?
 
  • #4
DrClaude
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I mean for a single wave.
 
  • #5
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I mean for a single wave.
I apologize but I'm not quite sure of what you're getting at, could you elaborate?
 
  • #6
DrClaude
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You said you don't know how to compensate for the phase difference. I'm trying to get you to see the relation between the phase difference and position.
 
  • #7
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You said you don't know how to compensate for the phase difference. I'm trying to get you to see the relation between the phase difference and position.
I still can't quite get what you mean by position, apologies.
 

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