Phase Difference Calculator

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Interference of Waves of Two Intensities

✖The Path Difference or PD is the difference in distance traveled by the two waves from their respective sources to a given point on the pattern.ⓘ Path Difference [Δx]			+10% -10%
✖Wavelength can be defined as the distance between two successive crests or troughs of a wave.ⓘ Wavelength [λ]			+10% -10%

✖Phase Difference is used to describe the difference in degrees or radians when two or more alternating quantities reach their maximum or zero values.ⓘ Phase Difference [Φ]

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Formula

✖

Phase Difference

Formula

`"Φ" = (2*pi*"Δx")/"λ"`

Example

`"671.6418°"=(2*pi*"50cm")/"26.8cm"`

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Phase Difference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Phase Difference = (2*pi*Path Difference)/Wavelength
Φ = (2*pi*Δx)/λ
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Phase Difference - (Measured in Radian) - Phase Difference is used to describe the difference in degrees or radians when two or more alternating quantities reach their maximum or zero values.
Path Difference - (Measured in Meter) - The Path Difference or PD is the difference in distance traveled by the two waves from their respective sources to a given point on the pattern.
Wavelength - (Measured in Meter) - Wavelength can be defined as the distance between two successive crests or troughs of a wave.

STEP 1: Convert Input(s) to Base Unit

Path Difference: 50 Centimeter --> 0.5 Meter (Check conversion here)
Wavelength: 26.8 Centimeter --> 0.268 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = (2*pi*Δx)/λ --> (2*pi*0.5)/0.268

Evaluating ... ...

Φ = 11.7223606477231

STEP 3: Convert Result to Output's Unit

11.7223606477231 Radian -->671.641791044902 Degree (Check conversion here)

FINAL ANSWER

671.641791044902 ≈ 671.6418 Degree <-- Phase Difference

(Calculation completed in 00.008 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 7 Basics Calculators

Optical Activity

Go Optical Activity = Angle from Slit Center to Light Source/(Length*Concentration at x Distance)

Malus Law

Go Resultant Intensity = Intensity 1*(cos(Angle from Slit Center to Light Source))^2

Path Difference of Two Progressive Wave

Go Path Difference = (Wavelength*Phase Difference)/(2*pi)

Phase Difference

Go Phase Difference = (2*pi*Path Difference)/Wavelength

Angular Width of Central Maxima

Go Angular Width = 2*Wavelength/Aperture of Objective

Phase Difference of Destructive Interference

Go Phase Difference = (2*Number n+1)*pi

Phase Difference of Constructive Interference

Go Phase Difference = 2*pi*Number n

Phase Difference Formula

Phase Difference = (2*pi*Path Difference)/Wavelength
Φ = (2*pi*Δx)/λ

How is phase difference calculated and how it is related to path difference ?

The phase difference is calculated by the formula Δϕ=2πΔx/λ where Δx is the path difference between two progressive waves. For any two waves with the same frequency, Phase Difference and Path Difference are related as-Δx=λΔϕ / 2π Where,

Δx is the path difference between the two waves.
ΔΦ is the phase difference between two waves.

How to Calculate Phase Difference?

Phase Difference calculator uses Phase Difference = (2*pi*Path Difference)/Wavelength to calculate the Phase Difference, Phase Difference is the difference in the phase angle of the two progressive waves. Phase Difference is denoted by Φ symbol.

How to calculate Phase Difference using this online calculator? To use this online calculator for Phase Difference, enter Path Difference (Δx) & Wavelength (λ) and hit the calculate button. Here is how the Phase Difference calculation can be explained with given input values -> 38482.24 = (2*pi*0.5)/0.268.

FAQ

What is Phase Difference?

Phase Difference is the difference in the phase angle of the two progressive waves and is represented as Φ = (2*pi*Δx)/λ or Phase Difference = (2*pi*Path Difference)/Wavelength. The Path Difference or PD is the difference in distance traveled by the two waves from their respective sources to a given point on the pattern & Wavelength can be defined as the distance between two successive crests or troughs of a wave.

How to calculate Phase Difference?

Phase Difference is the difference in the phase angle of the two progressive waves is calculated using Phase Difference = (2*pi*Path Difference)/Wavelength. To calculate Phase Difference, you need Path Difference (Δx) & Wavelength (λ). With our tool, you need to enter the respective value for Path Difference & Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Phase Difference?

In this formula, Phase Difference uses Path Difference & Wavelength. We can use 2 other way(s) to calculate the same, which is/are as follows -

Phase Difference = 2*pi*Number n
Phase Difference = (2*Number n+1)*pi

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