- #1
PSN03
- 100
- 9
- Homework Statement
- Consider the interference at P between waves emanating from three coherent sources in same phase located at S1, S2 and S3. If intensity due to each source is I0 = 12 W/m2 at P and d2/2D =λ/3 calculate the resultant intensity at P.
- Relevant Equations
- I= I1+I2+ 2√I1*I2cosx
Where I=net intensity
x=phase difference
So I thought of calculating the path differences between all the 3 points by taking them in pairs of 2.
S1 and S2
S2 and S3
S3 and S1
I got the path differences as λ/3 , λ and 2λ/3
I can now find their phase differences using the equation
Cosx=2π/λ* (path difference)
Then I can apply the intensity equation to find 3 intensities obtained from 3 different pairs.
Is my logic correct? If yes then can I directly take the summation of these 3 intensities now?
S1 and S2
S2 and S3
S3 and S1
I got the path differences as λ/3 , λ and 2λ/3
I can now find their phase differences using the equation
Cosx=2π/λ* (path difference)
Then I can apply the intensity equation to find 3 intensities obtained from 3 different pairs.
Is my logic correct? If yes then can I directly take the summation of these 3 intensities now?