## Quick Reference

A general principle of linear systems that when applied to wave phenomena asserts that the combined effect of any number of interacting waves at a point may be obtained by the algebraic summation of the amplitudes of all the waves at the point. For example, the superposition of two oscillations *x*_{1} and *x*_{2}, both of frequency ν, produces a disturbance of the same frequency. The amplitude and phase angle of the resulting disturbance are functions of the component amplitudes and phases. Thus, if *x*_{1} = *a*_{1} sin(2πν + δ_{1}) and *x*_{2} = *a*_{2} sin(2πν + δ_{2}) the resultant disturbance, *x*, will be given by: *x* = *A* sin(2πν + Δ), where amplitude *A* and phase angle Δ are both functions of *a*_{1}, *a*_{2}, δ_{1}, and δ_{2}.

*x*_{1} = *a*_{1} sin(2πν + δ_{1})

*x*_{2} = *a*_{2} sin(2πν + δ_{2})

*x* = *A* sin(2πν + Δ),

*Subjects:*
Physics.

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