Two waves having same intensity I_{0} and ori | vedclass

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(C) The resultant intensity $I$ of two superposing waves is given by the formula: $I = I_{1} + I_{2} + 2\sqrt{I_{1}I_{2}} \cos \phi$. For non-coherent

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$2 I_{0}$

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(C) The resultant intensity $I$ of two superposing waves is given by the formula: $I = I_{1} + I_{2} + 2\sqrt{I_{1}I_{2}} \cos \phi$. For non-coherent sources,the phase difference $\phi$ changes randomly with time. Therefore,the average value of the interference term $\langle 2\sqrt{I_{1}I_{2}} \cos \phi \rangle$ over time is $0$ because the average value of $\cos \phi$ is $0$. Given that $I_{1} = I_{2} = I_{0}$,the resultant average intensity is: $I_{avg} = I_{1} + I_{2} = I_{0} + I_{0} = 2I_{0}$.

Two waves having same intensity $I_{0}$ and originated from two non-coherent sources superpose at a point. The average intensity at that point is . . . . . . .

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