Question

Explain the principle of superposition.

Answer 1

Superposition principle in electrostate :
According to $\underline{\text{superposition principle}}$for any assembly of charges q₁ ,q₂ , q₃, ...... the force on any charges say q₁ is the vector sum of force on q₁ due to q₂ , force on q₁ due to q₃ , force on q₁ due to q₄ and son on.
Thus, F₁ = F₁₂ + F₁₃ + F₁₄ + ..... = $\bold{\frac{q_1}{4\pi\epsilon_0}\sum^n_{i=2}{\frac{q_i}{r^2_{1i}}\bold{{r}_{1i}}}}$

superposition principle in wave : if two wave of equations Y₁ = A₁sin(ωt) and Y₂ = A₂sin(ωt + Ф) are given then it says both are moving in same direction then what is the frequency of new wave after interference of it ?
Actually , this question is totally based on superposition principle of wave. That's why I put this question here.
Just write equation of new wave Y = Y₁ + Y₂ and find frequency after solving .
You surely gain A² = A₁² + A₂² + 2A₁A₂cosΦ.

Hence, in case of interference , we use the concept of superposition principle of wave . In which we add algebraically equations of wave and find unknown terms.

Answer 2

Answer:

Principle of superposition of waves : The displacement of a particle at a given point in space and time due to the simultaneous influence of two or more waves is the vector sum of the displacenents due to each wave acting independently.

[Notes: (1) The principle of superposition is appli cable to all types of waves. (2) The phenomena of interference, beats, formation of stationary waves, etc. are based on the principle of superposition of waves.]