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Energy of Electromagnetic Waves in Destructive Interference
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[QUOTE="keep_it_simple_silly, post: 6814000, member: 729886"] ***That is only possible if the two sources are in exactly the same place. There will always be regions where two real sources are in anti phase. So there's no need to worry that Physics got this wrong.*** - not necessarily. Consider 2 sources in phase with a distance, say λ/8. In this condition, the combined energy dissipation is still greater than the sum of individual power dissipation for isolated sources. The formula which represents all cases is (formula is given by [B]Vanderkooy[/B] and [B]Lipshitz [/B]in their paper Power response of loudspeakers with noncoincident drivers – The influence of crossover design) :- [ATTACH type="full" width="231px"]315964[/ATTACH] Where, [LIST=1] [*]P is total power radiated by both sources [*]P0 is the power radiated by single source in absence of other source [*]k=2π/λ, λ is wavelength of source [*]d is the distance between 2 sources [*]θ is the phase difference between 2 sources [/LIST] If you plot graph for this particular equation, it looks like following for a phase difference of 0:- [ATTACH type="full" width="238px"]315965[/ATTACH] So for any distance lesser than λ/2, power dissipation will be greater than 2P_0. Check out this paper :- Interference and the Law of Energy Conservation" by Robert Drosd, Leonid Minkin, Alexander S. Shapovalov to know more It makes things much clearer. [/QUOTE]
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Energy of Electromagnetic Waves in Destructive Interference
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