Intensity of Destructive Interference Calculator

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Interference of Waves of Two Intensities

✖Intensity 1 is the quantity of energy the first wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed.ⓘ Intensity 1 [I₁]			+10% -10%
✖Intensity 2 is the quantity of energy the second wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed.ⓘ Intensity 2 [I₂]			+10% -10%

✖Resultant Intensity is the resultant of two intensities combined together.ⓘ Intensity of Destructive Interference [I]

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Formula

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Intensity of Destructive Interference

Formula

`"I" = (sqrt("I"_{"1"})-sqrt("I"_{"2"}))^2`

Example

`"1.544156cd"=(sqrt("9cd")-sqrt("18cd"))^2`

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Intensity of Destructive Interference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Intensity = (sqrt(Intensity 1)-sqrt(Intensity 2))^2
I = (sqrt(I₁)-sqrt(I₂))^2
This formula uses 1 Functions, 3 Variables

Functions Used

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 resultant of two intensities combined together.
Intensity 1 - (Measured in Candela) - Intensity 1 is the quantity of energy the first wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed.
Intensity 2 - (Measured in Candela) - Intensity 2 is the quantity of energy the second wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (sqrt(I₁)-sqrt(I₂))^2 --> (sqrt(9)-sqrt(18))^2

Evaluating ... ...

I = 1.54415587728429

STEP 3: Convert Result to Output's Unit

1.54415587728429 Candela --> No Conversion Required

FINAL ANSWER

1.54415587728429 ≈ 1.544156 Candela <-- Resultant Intensity

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 3 Interference of Waves of Two Intensities Calculators

Interference of Waves of Two Intensities

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

Intensity of Constructive Interference

Go Resultant Intensity = (sqrt(Intensity 1)+sqrt(Intensity 2))^2

Intensity of Destructive Interference

Go Resultant Intensity = (sqrt(Intensity 1)-sqrt(Intensity 2))^2

Intensity of Destructive Interference Formula

Resultant Intensity = (sqrt(Intensity 1)-sqrt(Intensity 2))^2
I = (sqrt(I₁)-sqrt(I₂))^2

What is interference of light ?

A meeting of two or more waves produces a waveform that is the algebraic sum of the waveforms produced by each wave acting separately. At points where the intensity is less than the sum of the intensities of the two separate waves, the interference is called destructive. It is calculated using I = (√I₁ -√I₂)².

How to Calculate Intensity of Destructive Interference?

Intensity of Destructive Interference calculator uses Resultant Intensity = (sqrt(Intensity 1)-sqrt(Intensity 2))^2 to calculate the Resultant Intensity, Intensity of destructive interference is at points where the intensity is less than the sum of the intensities of the two separate waves, the interference. Resultant Intensity is denoted by I symbol.

How to calculate Intensity of Destructive Interference using this online calculator? To use this online calculator for Intensity of Destructive Interference, enter Intensity 1 (I₁) & Intensity 2 (I₂) and hit the calculate button. Here is how the Intensity of Destructive Interference calculation can be explained with given input values -> 1.544156 = (sqrt(9)-sqrt(18))^2.

FAQ

What is Intensity of Destructive Interference?

Intensity of destructive interference is at points where the intensity is less than the sum of the intensities of the two separate waves, the interference and is represented as I = (sqrt(I₁)-sqrt(I₂))^2 or Resultant Intensity = (sqrt(Intensity 1)-sqrt(Intensity 2))^2. Intensity 1 is the quantity of energy the first wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed & Intensity 2 is the quantity of energy the second wave conveys per unit time across a surface of unit area, and it is also equivalent to the energy density multiplied by the wave speed.

How to calculate Intensity of Destructive Interference?

Intensity of destructive interference is at points where the intensity is less than the sum of the intensities of the two separate waves, the interference is calculated using Resultant Intensity = (sqrt(Intensity 1)-sqrt(Intensity 2))^2. To calculate Intensity of Destructive Interference, you need Intensity 1 (I₁) & Intensity 2 (I₂). With our tool, you need to enter the respective value for Intensity 1 & Intensity 2 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. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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