Resultant Intensity of Incoherent Sources Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resultant Intensity = Intensity 1+Intensity 2
I = I1+I2
This formula uses 3 Variables
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 = I1+I2 --> 9+18
Evaluating ... ...
I = 27
STEP 3: Convert Result to Output's Unit
27 Candela --> No Conversion Required
FINAL ANSWER
27 Candela <-- Resultant Intensity
(Calculation completed in 00.004 seconds)

Credits

Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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6 Young's Double-Slit Experiment (YDSE) Calculators

Resultant Intensity On-Screen of YDSE when Intensities are Different
Go Resultant Intensity = Intensity 1+Intensity 2+2*sqrt(Intensity 1*Intensity 2)*cos(Phase Difference)
Distance from Center to Light Source for Destructive Interference in YDSE
Go Distance from Center to Light Source = (2*Number n-1)*(Wavelength*Distance between Slits and Screen)/(2*Distance between Two Coherent Sources)
Distance from Center to Light Source for Constructive Interference in YDSE
Go Distance from Center to Light Source = (Number n*Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources
Fringe Width
Go Fringe Width = (Wavelength*Distance between Slits and Screen)/Distance between Two Coherent Sources
Resultant Intensity On-Screen of Young's Double-Slit Experiment
Go Resultant Intensity = 4*Intensity 1*(cos(Phase Difference/2))^2
Resultant Intensity of Incoherent Sources
Go Resultant Intensity = Intensity 1+Intensity 2

Resultant Intensity of Incoherent Sources Formula

Resultant Intensity = Intensity 1+Intensity 2
I = I1+I2

What are coherent sources and how their resultant intensity is calculated ?

Two sources are said to be coherent when the waves emitted from them have the same frequency and constant phase difference. Interference from such waves happen all the time, the randomly phased light waves constantly produce bright and dark fringes at every point. Its resultant intensity is calculated using, I = I1 + I2.

How to Calculate Resultant Intensity of Incoherent Sources?

Resultant Intensity of Incoherent Sources calculator uses Resultant Intensity = Intensity 1+Intensity 2 to calculate the Resultant Intensity, Resultant intensity of incoherent sources is the sum of the intensities of two light waves. Coherent sources of waves have the same wavelength, frequency, and constant phase difference. Resultant Intensity is denoted by I symbol.

How to calculate Resultant Intensity of Incoherent Sources using this online calculator? To use this online calculator for Resultant Intensity of Incoherent Sources, enter Intensity 1 (I1) & Intensity 2 (I2) and hit the calculate button. Here is how the Resultant Intensity of Incoherent Sources calculation can be explained with given input values -> 27 = 9+18.

FAQ

What is Resultant Intensity of Incoherent Sources?
Resultant intensity of incoherent sources is the sum of the intensities of two light waves. Coherent sources of waves have the same wavelength, frequency, and constant phase difference and is represented as I = I1+I2 or Resultant Intensity = Intensity 1+Intensity 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 Resultant Intensity of Incoherent Sources?
Resultant intensity of incoherent sources is the sum of the intensities of two light waves. Coherent sources of waves have the same wavelength, frequency, and constant phase difference is calculated using Resultant Intensity = Intensity 1+Intensity 2. To calculate Resultant Intensity of Incoherent Sources, 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 = 4*Intensity 1*(cos(Phase Difference/2))^2
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