Three waves of equal frequency having amplitudes arrive at a given point with successive phase difference of , the amplitude of the resulting wave in is given by

Three waves of equal frequency having amplitudes arrive at a given point with successive phase difference of , the amplitude of the resulting wave in is given by

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The amplitudes of the waves are

and

and the phase difference between 1^{st} and 2^{nd} wave is and that between 2^{nd} and 3^{rd} is . Therefore, phase difference between 1^{st} and 3^{rd} is . Combining 1^{st} with 3^{rd}, their resultant amplitude is given by

Or

in the direction of first

Now combining this with 2^{nd} wave we have, the resultant amplitude

Or