Interference with two speakers

In summary, when two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase with a frequency of 172 Hz, the closest you can be to speaker B and experience destructive interference is 1 meter. This can be found by solving for the wavelength, which is equal to 2 meters, and knowing that destructive interference occurs at half wavelengths.
  • #1
gills
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Homework Statement


Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. The frequency of the waves emitted by each speaker is 172 Hz. You are 8.00m from speaker A. Take the speed of sound in air to be 344m/s .

What is the closest you can be to speaker B and be at a point of destructive interference?
Express your answer in meters


I really don't have a clue on how to solve this problem.
 
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  • #2
destructive interference occurs at half wavelengths. Therefore with the quantities given, solve for wavelength which = 2m. Therefore the closest you can be to speaker B is 1 m and possibly experience destructive.

What a joke.
 
  • #3
Uh, good job! It was actually a pretty good question. You nailed it.
 

What is interference with two speakers?

Interference with two speakers, also known as the "two-source interference" or "double-slit interference" occurs when two speakers are emitting sound waves that overlap and create a new pattern of sound. This phenomenon can also occur with other types of waves, such as light waves.

How does interference with two speakers work?

Interference with two speakers works by the superposition of sound waves. When two sound waves of the same frequency meet, they can either reinforce or cancel each other out depending on their phase difference. This results in a new pattern of sound waves that can be heard by the listener.

What causes interference with two speakers?

Interference with two speakers is caused by the overlapping of sound waves. When two speakers are emitting sound waves at the same frequency, they interfere with each other and create a new pattern of sound. This is similar to what happens when throwing two pebbles into a pond and the ripples overlap.

What are the types of interference with two speakers?

The two main types of interference with two speakers are constructive interference and destructive interference. Constructive interference occurs when the sound waves are in phase and reinforce each other, resulting in a louder sound. Destructive interference occurs when the sound waves are out of phase and cancel each other out, resulting in a softer sound.

How can interference with two speakers be controlled?

Interference with two speakers can be controlled by adjusting the distance between the two speakers and the listener, as well as the frequency and amplitude of the sound waves. This can help to minimize interference and create a clearer and more focused sound. Other techniques, such as using noise-cancelling technology, can also be used to reduce interference.

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