gen-define-the-principle-of-superposition-and-give-one-short-wor-8252

Define the principle of superposition and give one short worked example.

# Principle of Superposition **Definition:** The principle of superposition states that when two or more waves overlap in space, the resultant displacement at any point is equal to the vector sum of the displacements that each individual wave would cause at that point. Mathematically: **y_total = y₁ + y₂ + y₃ + ...** --- ## Worked Example **Problem:** Two waves travel along the same string. At a particular point and time: - Wave 1 causes an upward displacement of +3 cm - Wave 2 causes a downward displacement of -1 cm What is the resultant displacement? **Solution:** Using superposition: y_total = y₁ + y₂ = (+3 cm) + (-1 cm) = **+2 cm** The resultant displacement is **2 cm upward**. --- **Note:** This principle applies to all linear waves (light, sound, water waves, etc.) and is fundamental to understanding interference, diffraction, and standing waves.