In physics and system theory, the superposition principle, also called superposition property, says that for any linear system, "at a given place and time, the synthetic reaction produced by two or more stimuli is the sum of the reactions produced by each stimulus alone."
Therefore, if input A produces reaction X and input B produces reaction Y, input A+B produces reaction (X+Y).
In mathematical terms, for all linear systems, F(x)=y, where x is stimulus (input) and y is response (output) to some extent, and the superposition of stimulus (that is, "sum") leads to the superposition of respective responses.
In mathematics, this property is more often called additivity. In most practical cases, the additivity of f indicates that it is a linear mapping, also known as a linear function or a linear operator.
In mathematical terms, for all linear systems, F(x)=y, where x is stimulus (input) and y is response (output) to some extent, and the superposition of stimulus (that is, "sum") leads to the superposition of respective responses.
In mathematics, this property is more often called additivity. In most practical cases, the additivity of f indicates that it is a linear mapping, also known as a linear function or a linear operator.
The superposition principle is applicable to any linear system, including algebraic equations, linear differential equations and these forms of equations. Input and reaction can be numbers, functions, vectors, vector fields, time-varying signals or any other objects that satisfy some axioms. Note that when it comes to vectors and vector fields, superposition is understood as vector sum.
1. If several charges exist at the same time, their electric fields are superimposed to form a combined electric field. At this time, the field strength of a certain point is equal to the vector sum of the field strength generated at this point when each charge exists alone, which is called the principle of electric field superposition.
2. The potential of a point in the electric field of a point charge system is equal to the algebraic sum of the potentials generated at that point when each point charge exists alone, which is called the principle of potential superposition.
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superposition principle