Question

find the value of amplitude (general expression for amplitude) of the resultant wave, produced due to superposition of two waves of same frequency and amplitude A1 And A2.

Answer 1

Explanation:

The equation of the two superimposing waves can be give by 

y1=a1sin(ωt) and y2=a2sin(ωt+π/2)=a2cos(ωt).

So, the equation of the resultant wave is y=y1+y2=a1sin(ωt)+a2cos(ωt).

Assuming a1=acos(ϕ) and a2=asin(ϕ), we get

y=asin(ωt+ϕ).

Here a12+a22=a2(sin2(ϕ)+cos2(ϕ))=a2⇒a=a12+a22.