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Question

How do you find the amplitude of two waves?


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Solution

Amplitude:

The greatest deviation from the equilibrium of a point on a vibrating body or wave in terms of displacement or distance traveled. It is equivalent to the vibration path's half-length.

  1. Identify the amplitudes, A of the original values.
  2. Identify the degree to which the waves are out of phase ( ϕ).

The amplitude of the resultant wave when the waves are in superposition is determined by the frequency, amplitude, and direction of the original waves.

AR=2Acosϕ2

Superposition: The superposition principle states that if waves combine at the same point, the resulting position of a particle of the medium at that point is the sum of the position due to the individual waves. If two waves have the same amplitude-frequency, and direction, but are out of phase by (ϕ) degrees,

The amplitude of the resultant wave

AR=2Acosϕ2


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