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Interference of Waves of Two Intensities Formula

GoResultant Intensity On-Screen of Young's Double-Slit Experiment Formula

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Resultant Intensity is the intensity of the resulting wave pattern formed by the superposition of two or more waves, providing information about the combined effect of the individual waves. Check FAQs

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

I - Resultant Intensity?I₁ - Intensity 1?I₂ - Intensity 2?Φ - Phase Difference?

Interference of Waves of Two Intensities Example

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Here is how the Interference of Waves of Two Intensities equation looks like with Values.

Here is how the Interference of Waves of Two Intensities equation looks like with Units.

Here is how the Interference of Waves of Two Intensities equation looks like.

46.922 = 9 + 18 + 2 \cdot \sqrt{9 \cdot 18} \cdot \cos (38.5)

46.922cd = 9cd + 18cd + 2 \cdot \sqrt{9cd \cdot 18cd} \cdot \cos (38.5°)

46.922 = 9 + 18 + 2 \cdot \sqrt{9 \cdot 18} \cdot \cos (38.5)

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Interference of Waves of Two Intensities Solution

Follow our step by step solution on how to calculate Interference of Waves of Two Intensities?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = 9cd + 18cd + 2 \cdot \sqrt{9cd \cdot 18cd} \cdot \cos (38.5°)

Next Step Convert Units

∴

I = 9cd + 18cd + 2 \cdot \sqrt{9cd \cdot 18cd} \cdot \cos (0.672rad)

Next Step Prepare to Evaluate

∴

I = 9 + 18 + 2 \cdot \sqrt{9 \cdot 18} \cdot \cos (0.672)

Next Step Evaluate

∴

I = 46.9219512500029cd

LAST Step Rounding Answer

∴

I = 46.922cd

Interference of Waves of Two Intensities Formula Elements

Variables

Functions

Resultant Intensity

Resultant Intensity is the intensity of the resulting wave pattern formed by the superposition of two or more waves, providing information about the combined effect of the individual waves.

Symbol: I

Measurement: Luminous IntensityUnit: cd

Note: Value can be positive or negative.

Formulas to find Resultant Intensity

Intensity 1

Intensity 1 is a measure of the amount of energy or power per unit area of a wave, typically measured in units of power per unit area.

Symbol: I₁

Measurement: Luminous IntensityUnit: cd

Note: Value should be greater than 0.

Formulas to find Intensity 1

Intensity 2

Intensity 2 is a measure of the power of a wave, typically measured in units of energy per unit area, and is used to describe the strength of a wave in various physical systems.

Symbol: I₂

Measurement: Luminous IntensityUnit: cd

Note: Value should be greater than 0.

Formulas to find Intensity 2

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Resultant Intensity

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

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

Other formulas in Intensity and Interference of Light Waves category

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 of Incoherent Sources

I IS = I 1 + I 2

Go Phase Difference

Φ = \frac{2 \cdot π \cdot Δx}{λ}

How to Evaluate Interference of Waves of Two Intensities?

Interference of Waves of Two Intensities evaluator uses Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference) to evaluate the Resultant Intensity, Interference of Waves of Two Intensities formula is defined as a measure of the resulting intensity pattern formed by the superposition of two waves with different intensities, resulting in a new wave pattern with a unique intensity distribution. Resultant Intensity is denoted by I symbol.

How to evaluate Interference of Waves of Two Intensities using this online evaluator? To use this online evaluator for Interference of Waves of Two Intensities, enter Intensity 1 (I₁), Intensity 2 (I₂) & Phase Difference (Φ) and hit the calculate button.

FAQs on Interference of Waves of Two Intensities

What is the formula to find Interference of Waves of Two Intensities?

The formula of Interference of Waves of Two Intensities is expressed as Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference). Here is an example- 46.92195 = 9+18+2*sqrt(9*18)*cos(0.67195176201769).

How to calculate Interference of Waves of Two Intensities?

With Intensity 1 (I₁), Intensity 2 (I₂) & Phase Difference (Φ) we can find Interference of Waves of Two Intensities using the formula - Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference). This formula also uses Cosine, Square Root Function function(s).

What are the other ways to Calculate Resultant Intensity?

Here are the different ways to Calculate Resultant Intensity-

Resultant Intensity=4*(Intensity from Slit 1)*cos(Phase Difference/2)^2

Can the Interference of Waves of Two Intensities be negative?

Yes, the Interference of Waves of Two Intensities, measured in Luminous Intensity can be negative.

Which unit is used to measure Interference of Waves of Two Intensities?

Interference of Waves of Two Intensities is usually measured using the Candela[cd] for Luminous Intensity. Candle (International)[cd], Decimal Candle[cd], Hefner Candle[cd] are the few other units in which Interference of Waves of Two Intensities can be measured.

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Interference of Waves of Two Intensities Formula

​GoResultant Intensity On-Screen of Young's Double-Slit Experiment Formula

Interference of Waves of Two Intensities Example

Interference of Waves of Two Intensities Solution

Interference of Waves of Two Intensities Formula Elements

Other Formulas to find Resultant Intensity

Other formulas in Intensity and Interference of Light Waves category

How to Evaluate Interference of Waves of Two Intensities?

FAQs on Interference of Waves of Two Intensities

Variable Name

GoResultant Intensity On-Screen of Young's Double-Slit Experiment Formula