Condition for Constructive Interference
We know that the Intensity of the resultant wave is given using the formula,
I = I1 + I2 +2√(I1I2)cosθ
For constructive Interference, I is the maximum which is possible if
cosθ = 1 , then θ = 0, 2π, 4π,…., 2nπ i.e.
Phase Difference is even multiple of π
Also,
- △x = λ/2π (θ)
- △x = λ/2π (2nπ)
△x = nλ
Thus, for Constructive Interference
- Phase Difference: 2nπ
- Path Difference: nλ
Principle of Superposition of Waves
When two waves propagating in the same medium interfere with each other the amplitude of the resultant of the two waves is the vector sum of the amplitude of the two waves, this is called the Principle of Superposition of Waves.
Waves are disturbances that transfer energy between two points without there being actual contact between the two points. We are completely surrounded by waves and these are used for performing a variety of tasks in our daily life.
We encounter different types of such as Radio waves, Light waves, Microwaves and others on a regular basis. The superposition of waves is the process of adding different waves together and finding their results.
In this article, we will learn about the Superposition of Waves and others in detail.
Table of Content
- What is Superposition of Waves?
- Principle of Superposition
- Types of Superposition of Waves
- Constructive Interference
- Destructive Interference
- Resultant Intensity in Interference of Two Waves
- What is Interference of Light?
- Solved Examples on Superposition of Waves
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