Interference of Waves of Two Intensities Calculator

✖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.ⓘ Intensity 1 [I₁]			+10% -10%
✖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.ⓘ Intensity 2 [I₂]			+10% -10%
✖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.ⓘ Phase Difference [Φ]			+10% -10%

✖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.ⓘ Interference of Waves of Two Intensities [I]

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Interference of Waves of Two Intensities Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference)
I = I₁+I₂+2*sqrt(I₁*I₂)*cos(Φ)
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., sqrt(Number)

Variables Used

Resultant Intensity - (Measured in Candela) - 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.
Intensity 1 - (Measured in Candela) - 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.
Intensity 2 - (Measured in Candela) - 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.
Phase Difference - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Intensity 1: 9 Candela --> 9 Candela No Conversion Required
Intensity 2: 18 Candela --> 18 Candela No Conversion Required
Phase Difference: 38.5 Degree --> 0.67195176201769 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = I₁+I₂+2*sqrt(I₁*I₂)*cos(Φ) --> 9+18+2*sqrt(9*18)*cos(0.67195176201769)

Evaluating ... ...

I = 46.9219512500029

STEP 3: Convert Result to Output's Unit

46.9219512500029 Candela --> No Conversion Required

FINAL ANSWER

46.9219512500029 ≈ 46.92195 Candela <-- Resultant Intensity

(Calculation completed in 00.020 seconds)

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Home » Physics » Wave Optics » Basic Physics » Optics and Waves » Optics » Intensity and Interference of Light Waves » Interference of Waves of Two Intensities

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Birsa Institute of Technology (BIT), Sindri

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< Intensity and Interference of Light Waves Calculators

Interference of Waves of Two Intensities

LaTeX Go Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference)

Intensity of Constructive Interference

LaTeX Go Resultant Intensity of Constructive = (sqrt(Intensity 1)+sqrt(Intensity 2))^2

Intensity of Destructive Interference

LaTeX Go Resultant Intensity of Destructive = (sqrt(Intensity 1)-sqrt(Intensity 2))^2

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

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

Interference of Waves of Two Intensities Formula

LaTeX Go

Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference)
I = I₁+I₂+2*sqrt(I₁*I₂)*cos(Φ)

What is Interference of Waves?

Interference of waves occurs when two or more waves overlap and combine. This can result in constructive interference, where waves add up to make a larger amplitude, or destructive interference, where they cancel each other out. The resulting pattern depends on the phase relationship between the overlapping waves.

How to Calculate Interference of Waves of Two Intensities?

Interference of Waves of Two Intensities calculator uses Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference) to calculate 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 calculate Interference of Waves of Two Intensities using this online calculator? To use this online calculator for Interference of Waves of Two Intensities, enter Intensity 1 (I₁), Intensity 2 (I₂) & Phase Difference (Φ) and hit the calculate button. Here is how the Interference of Waves of Two Intensities calculation can be explained with given input values -> 46.92195 = 9+18+2*sqrt(9*18)*cos(0.67195176201769).

FAQ

What is Interference of Waves of Two Intensities?

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 and is represented as I = I₁+I₂+2*sqrt(I₁*I₂)*cos(Φ) or Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference). 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, 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 & 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.

How to calculate Interference of Waves of Two Intensities?

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 is calculated using Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference). To calculate Interference of Waves of Two Intensities, you need Intensity 1 (I₁), Intensity 2 (I₂) & Phase Difference (Φ). With our tool, you need to enter the respective value for Intensity 1, Intensity 2 & Phase Difference 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 Resultant Intensity?

In this formula, Resultant Intensity uses Intensity 1, Intensity 2 & Phase Difference. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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