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 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.
Phase Difference - (Measured in Radian) - Phase Difference is used to describe the difference in degrees or radians when two or more alternating quantities reach their maximum or zero values.
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 00.004 seconds)

Credits

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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

Interference of Waves of Two Intensities Formula

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

How is interference of two light waves calculated?

There are some special cases involving superposition that are particularly interesting to examine, and these involve a phenomenon known as interference. There are many degrees of interference possible, all of which fall between the following two extremes - constructive interference and destructive interference.

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 is the superposition of two light traveling in almost the same direction resulting in a modification in the distribution of intensity of light in the region of superposition. 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 is the superposition of two light traveling in almost the same direction resulting in a modification in the distribution of intensity of light in the region of superposition 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 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 & Phase Difference is used to describe the difference in degrees or radians when two or more alternating quantities reach their maximum or zero values.
How to calculate Interference of Waves of Two Intensities?
Interference of waves of two intensities is the superposition of two light traveling in almost the same direction resulting in a modification in the distribution of intensity of light in the region of superposition 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 2 other way(s) to calculate the same, which is/are as follows -
  • Resultant Intensity = (sqrt(Intensity 1)+sqrt(Intensity 2))^2
  • Resultant Intensity = (sqrt(Intensity 1)-sqrt(Intensity 2))^2
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