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Phase Difference Formula

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Phase Difference is the difference in phase angle between two or more waves having the same frequency and referenced to the same point in time. Check FAQs

Φ = \frac{2 \cdot π \cdot Δx}{λ}

Φ - Phase Difference?Δx - Path Difference?λ - Wavelength?π - Archimedes' constant?

Phase Difference Example

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With units

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Here is how the Phase Difference equation looks like with Values.

Here is how the Phase Difference equation looks like with Units.

Here is how the Phase Difference equation looks like.

38.4999 = \frac{2 \cdot 3.1416 \cdot 2.8661}{26.8}

38.4999° = \frac{2 \cdot 3.1416 \cdot 2.8661cm}{26.8cm}

38.4999 = \frac{2 \cdot 3.1416 \cdot 2.8661}{26.8}

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Phase Difference Solution

Follow our step by step solution on how to calculate Phase Difference?

FIRST Step Consider the formula

Φ = \frac{2 \cdot π \cdot Δx}{λ}

Next Step Substitute values of Variables

∴

Φ = \frac{2 \cdot π \cdot 2.8661cm}{26.8cm}

Next Step Substitute values of Constants

∴

Φ = \frac{2 \cdot 3.1416 \cdot 2.8661cm}{26.8cm}

Next Step Convert Units

∴

Φ = \frac{2 \cdot 3.1416 \cdot 0.0287m}{0.268m}

Next Step Prepare to Evaluate

∴

Φ = \frac{2 \cdot 3.1416 \cdot 0.0287}{0.268}

Next Step Evaluate

∴

Φ = 0.671949157048784rad

Next Step Convert to Output's Unit

∴

Φ = 38.4998507462759°

LAST Step Rounding Answer

∴

Φ = 38.4999°

Phase Difference Formula Elements

Variables

Constants

Phase Difference

Phase Difference is the difference in phase angle between two or more waves having the same frequency and referenced to the same point in time.

Symbol: Φ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Phase Difference

Path Difference

Path Difference is the difference in distance traveled by two waves, which determines the phase shift between them, affecting the resulting interference pattern.

Symbol: Δx

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Path Difference

Wavelength

Wavelength is the distance between two consecutive peaks or troughs of a wave, which is a fundamental property of a wave that characterizes its spatial periodicity.

Symbol: λ

Measurement: LengthUnit: cm

Note: Value can be positive or negative.

Formulas to find Wavelength

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Intensity and Interference of Light Waves category

Go Interference of Waves of Two Intensities

I = I 1 + I 2 + 2 \cdot \sqrt{I 1 \cdot I 2} \cdot \cos (Φ)

Go Intensity of Constructive Interference

I C = {(\sqrt{I 1} + \sqrt{I 2})}^{2}

Go Intensity of Destructive Interference

I D = {(\sqrt{I 1} - \sqrt{I 2})}^{2}

Go Resultant Intensity On-Screen of Young's Double-Slit Experiment

I = 4 \cdot (I S1) \cdot {\cos (\frac{Φ}{2})}^{2}

How to Evaluate Phase Difference?

Phase Difference evaluator uses Phase Difference = (2*pi*Path Difference)/Wavelength to evaluate the Phase Difference, Phase Difference formula is defined as a measure of the difference in phase angle between two or more waves, typically measured in radians, that describes the relative position of the peaks or troughs of the waves, providing insight into the spatial relationship between the waves. Phase Difference is denoted by Φ symbol.

How to evaluate Phase Difference using this online evaluator? To use this online evaluator for Phase Difference, enter Path Difference (Δx) & Wavelength (λ) and hit the calculate button.

FAQs on Phase Difference

What is the formula to find Phase Difference?

The formula of Phase Difference is expressed as Phase Difference = (2*pi*Path Difference)/Wavelength. Here is an example- 2205.879 = (2*pi*0.028661)/0.268.

How to calculate Phase Difference?

With Path Difference (Δx) & Wavelength (λ) we can find Phase Difference using the formula - Phase Difference = (2*pi*Path Difference)/Wavelength. This formula also uses Archimedes' constant .

Can the Phase Difference be negative?

Yes, the Phase Difference, measured in Angle can be negative.

Which unit is used to measure Phase Difference?

Phase Difference is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Phase Difference can be measured.

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Phase Difference Formula

Phase Difference Example

Phase Difference Solution

Phase Difference Formula Elements

Other formulas in Intensity and Interference of Light Waves category

How to Evaluate Phase Difference?

FAQs on Phase Difference

Variable Name