Question

Can you please give me a little explanation about the super position states..?... and how they can possibly exist....?

Answer 1

The super postion principle states that all linear systems, the net response caused by two or more stimuli is the sum of the responses that would have been caused by each stimulus individually. So that if input A produces response X and input Bproduces response Ythen input (A + B) produces response (X + Y).

The homogeneity and additivity properties together are called the superposition principle. A linear function is one that satisfies the properties of superposition. It is defined as
F(x1+x2) = F(x1)+F(x2) additivity
F(ax) = aF(x) homogenity



This principle has many applications in ohysics and engineering because many physical systems can be modeled as linear systems. For example, a beam can be modeled as a linear system where the input stimulus is the load on the beam and the output response is the deflection of the beam. The importance of linear systems is that they are easier to analyze mathematically; there is a large body of mathematical techniques, frequency domian line transforms methods such as fourier, laplace transforms and linear operator theory, that are applicable. Because physical systems are generally only approximately linear, the superposition principle is only an approximation of the true physical behaviour.