Constructive Interference: Height Difference Matter?

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Discussion Overview

The discussion revolves around the concept of constructive interference in wave phenomena, specifically addressing whether the amplitudes of two waves must be equal for constructive interference to occur. Participants explore the conditions under which constructive interference happens and the implications of phase differences.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that constructive interference can occur even if the amplitudes of the waves are different, as long as the waves are in phase.
  • One participant clarifies that while perfect in-phase alignment is not necessary for constructive interference, the waves must be within 90 degrees of each other.
  • Another participant notes that total destructive interference requires both waves to have equal amplitude and be exactly 180 degrees out of phase, while partial destructive interference can occur with differing amplitudes.
  • A participant expresses intent to experiment with interference and superposition, indicating that precise conditions are not required for constructive interference to be observed.

Areas of Agreement / Disagreement

Participants exhibit some agreement on the idea that equal amplitudes are not a requirement for constructive interference, but there remains a lack of consensus on the specifics of phase relationships and the definitions of total versus partial interference.

Contextual Notes

There are unresolved aspects regarding the precise definitions of phase relationships and the conditions under which different types of interference occur, as well as the implications of amplitude differences.

Quantom
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Just curious...I know that constructive interference occurs when two waves are "in phase" but does this mean that the heights of the waves have to be the same? In other words... can two waves that are in phase with each other constructively interfere if one wave has a higher amplitude than the other?
 
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Quantom said:
Just curious...I know that constructive interference occurs when two waves are "in phase" but does this mean that the heights of the waves have to be the same?

No.

In other words... can two waves that are in phase with each other constructively interfere if one wave has a higher amplitude than the other?

Yes.
 
Thank you, that has been bothering me for a while...
 
it might not have been an issue, but I'm thinking that a good thing to point out is that the two waves don't have be perfectly in-phase to be constructive interference. but they have to be within 90o of each other to constructively interfere. only for totally destructive interference (where the result is nothing) must both the phase and amplitude be exactly something (180o outa phase and equal amplitude). otherwise either the phase or amplitude can be sloppy.
 
I intend to experiment with interference and superpostioning and its good to know that i don't have to be dead on for it work. Thanks...
 
People sometimes talk about total constructive interference and total destructive interference. For example, total destructive interference of two waves, where the resultant wave has amplitude everywhere zero, is only possible if the two superposed waves have the same amplitude. If they do not, partial destructive interference can still occur.
 

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