Question

How do you find the amplitude of two waves?

Answer 1

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 ( $\varphi$).

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

$\Rightarrow {\mathrm{A}}_{\mathrm{R}}=2\mathrm{Acos}\left(\frac{\mathrm{\varphi }}{2}\right)$

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 ($\varphi$) degrees,

The amplitude of the resultant wave

$\Rightarrow {\mathrm{A}}_{\mathrm{R}}=2\mathrm{Acos}\left(\frac{\mathrm{\varphi }}{2}\right)$