- #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?