Intensity of constructive 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 - Squre root function, 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 = 52.4558441227157
STEP 3: Convert Result to Output's Unit
52.4558441227157 Candela --> No Conversion Required
FINAL ANSWER
52.4558441227157 Candela <-- Resultant Intensity
(Calculation completed in 00.015 seconds)

Credits

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
Resultant Intensity = Intensity 1+Intensity 2+(2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference)) Go
Intensity of constructive interference
Resultant Intensity = (sqrt(Intensity 1)+sqrt(Intensity 2))^2 Go
Intensity of destructive interference
Resultant Intensity = (sqrt(Intensity 1)-sqrt(Intensity 2))^2 Go

Intensity of constructive 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 certain points, intensity are constructive as well as destructive in interferences. constructive interference increases the intensity of light. It is calculated using I = (√I1 +√I2)2.

How to Calculate Intensity of constructive interference?

Intensity of constructive interference calculator uses Resultant Intensity = (sqrt(Intensity 1)+sqrt(Intensity 2))^2 to calculate the Resultant Intensity, Intensity of constructive interference is said to be constructive at points where the intensity of the superposed waves is greater than the sum of the intensities of the two separate waves. Resultant Intensity is denoted by I symbol.

How to calculate Intensity of constructive interference using this online calculator? To use this online calculator for Intensity of constructive interference, enter Intensity 1 (I1) & Intensity 2 (I2) and hit the calculate button. Here is how the Intensity of constructive interference calculation can be explained with given input values -> 52.45584 = (sqrt(9)+sqrt(18))^2.

FAQ

What is Intensity of constructive interference?
Intensity of constructive interference is said to be constructive at points where the intensity of the superposed waves is greater than the sum of the intensities of the two separate waves 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 constructive interference?
Intensity of constructive interference is said to be constructive at points where the intensity of the superposed waves is greater than the sum of the intensities of the two separate waves is calculated using Resultant Intensity = (sqrt(Intensity 1)+sqrt(Intensity 2))^2. To calculate Intensity of constructive 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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