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Two-waves-are-represented-by-y-1-Asin-t-and-y-2-Asin-t-What-is-the-resultant-of-the-two-waves-ii-determine-the-amplitude-of-the-resultant-wave-and-under-which-condition-will-it-be-constructive




Question Number 38816 by NECx last updated on 30/Jun/18
Two waves are represented by  y_1 =Asinωt and y_2 =Asin(ωt−δ).  What is the resultant of the two  waves?  ii)determine the amplitude of the  resultant wave and under which  condition will it be constructive or  destructive.
Twowavesarerepresentedbyy1=Asinωtandy2=Asin(ωtδ).Whatistheresultantofthetwowaves?ii)determinetheamplitudeoftheresultantwaveandunderwhichconditionwillitbeconstructiveordestructive.
Answered by tanmay.chaudhury50@gmail.com last updated on 30/Jun/18
y_1 +y_2 =2Asin(wt−(δ/2))cos((δ/2))  amplitude=2Acos((δ/2))  constructive when cos((δ/2))=±1  cos((δ/2))=cos(nΠ)  δ=2nΠ  destructive when cos((δ/2))=0=cos(n(Π/2))  δ=nΠ
y1+y2=2Asin(wtδ2)cos(δ2)amplitude=2Acos(δ2)constructivewhencos(δ2)=±1cos(δ2)=cos(nΠ)δ=2nΠdestructivewhencos(δ2)=0=cos(nΠ2)δ=nΠ
Commented by NECx last updated on 30/Jun/18
wow..... Thank you so much.
wow..Thankyousomuch.

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