Constructive & destructive interference of

Publicado em: 04 Setembro 2025
no canal de: TAMU Physics & Astronomy

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A function generator is connected to two speakers that are in-phase, meaning they are synchronized. When the speakers face each other, their sound waves overlap and interfere. This interference creates regions where the sound is louder (constructive interference) or softer (destructive interference). The function generator is set to 680 Hz, and with the speed of sound in air at about 340 m/s, the wavelength is 0.5 m. Half a wavelength is 0.25 m, and a quarter wavelength is 0.125 m. At the center point between the speakers, the waves constructively interfere, creating a loud sound. Moving the microphone 0.125 m from the center introduces destructive interference, and moving another 0.125 m in the same direction brings the sound back to constructive interference.

Destructive interference occurs when the path difference between the two speakers is half a wavelength, while constructive interference occurs when the path difference is a full wavelength. For example, if the distance to the center from each speaker is 0.5 m and you move 0.125 m, the distances become 0.625 m and 0.375 m from each speaker. The difference in distances is 0.25 m, which is half a wavelength and produces destructive interference. Moving another 0.125 m changes the distances to 0.75 m and 0.25 m, a difference of 0.5 m, or a full wavelength, which produces constructive interference again. This repeating pattern of loud and quiet regions is called a standing wave.

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