In physics and systems theory, the superposition principle [1] , also known as superposition property, states that, for all linear systems, the net response at a given place and time caused by two or more stimuli is the sum of the responses which would have been caused by each stimulus individual ly . So that if input A produces r esponse Xand input B produces response Ythen input ( A + B) produces response ( X+ Y).
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8/3/2019 Superposition Principle...Cuevas and Delacruz
In physics and systems theory , the superpositionprinciple [1], also known as superposition property ,
states that, for all linear systems, the net response at agiven place and time caused by two or more stimuli isthe sum of the responses which would have been
caused by each stimulus individually. So that if input Aproduces response X and input B produces response Y
then input ( A + B) produces response ( X + Y ).
8/3/2019 Superposition Principle...Cuevas and Delacruz
y W aves are usually described by variations in some parameter throughspace and timefor example, height in a water wave, pressure in asound wave, or the electromagnetic field in a light wave. The value of this parameter is called the amplitude of the wave, and the wave itself
is a function specifying the amplitude at each point.y In any system with waves, the waveform at a given time is a function of
the sources (i.e., external forces, if any, that create or affect the wave)and initial conditions of the system. In many cases (for example, in theclassic wave equation), the equation describing the wave is linear. W hen this is true, the superposition principle can be applied. Thatmeans that the net amplitude caused by two or more waves traversingthe same space, is the sum of the amplitudes which would have beenproduced by the individual waves separately. For example, two wavestraveling towards each other will pass right through each other withoutany distortion on the other side.
8/3/2019 Superposition Principle...Cuevas and Delacruz