Intensity of Light Transmitted Solution

STEP 0: Pre-Calculation Summary
Formula Used
Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length)
It = Io*exp(-α*x)
This formula uses 1 Functions, 4 Variables
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Intensity of Transmitted Light - (Measured in Candela) - Intensity of Transmitted Light varies as the square of the cosine of the angle between the two planes of transmission.
Intensity of Light Entering the Material - (Measured in Candela) - Intensity of Light Entering the Material is related to the energy of the EM wave (power per unit area). So when light passes through an interface some of it is reflected and some refracted.
Absorption Coefficient - The absorption coefficient defines how far light of a particular wavelength can penetrate into a material before being absorbed. The absorption coefficient in inverse length units.
Path Length - (Measured in Meter) - Path Length of average number of steps along the shortest paths for all possible pairs of network nodes.
STEP 1: Convert Input(s) to Base Unit
Intensity of Light Entering the Material: 700 Candela --> 700 Candela No Conversion Required
Absorption Coefficient: 0.5001 --> No Conversion Required
Path Length: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
It = Io*exp(-α*x) --> 700*exp(-0.5001*7)
Evaluating ... ...
It = 21.1233768553891
STEP 3: Convert Result to Output's Unit
21.1233768553891 Candela --> No Conversion Required
FINAL ANSWER
21.1233768553891 21.12338 Candela <-- Intensity of Transmitted Light
(Calculation completed in 00.004 seconds)

Credits

Created by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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6 Methods of Lighting Calculators

Intensity of Light Transmitted
Go Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length)
Number of Floodlighting Units
Go Number of Floodlighting Units = (Area to be Lighted*Illumination Intensity)/(0.7*Lumen Flux)
Spectral Transmission Factor
Go Spectral Transmission Factor = Transmitted Spectral Emission/Spectral Irradiation
Spectral Reflection Factor
Go Spectral Reflection Factor = Reflected Spectral Emission/Spectral Irradiation
Spectral Luminous Efficacy
Go Spectral Luminous Efficacy = Maximum Sensitivity*Photopic Efficiency Value
Luminance for Lambertian Surfaces
Go Luminance = Illumination Intensity/pi

16 Advanced Illumination Calculators

Beer-Lambert Law
Go Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length)
Fresnel's Law of Reflection
Go Reflection Loss = (Refractive Index of Medium 2-Refractive Index of Medium 1)^2/(Refractive Index of Medium 2+Refractive Index of Medium 1)^2
Refracted Angle using Snell's Law
Go Refracted Angle = arcsinh((Refractive Index of Medium 1*sin(Incident Angle))/(Refractive Index of Medium 2))
Incident Angle using Snell's Law
Go Incident Angle = arcsinh((Refractive Index of Medium 2*sin(Refracted Angle))/(Refractive Index of Medium 1))
Intensity of Light Transmitted
Go Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length)
Illumination by Lambert Cosine Law
Go Illumination Intensity = (Luminous Intensity*cos(Illumination Angle))/(Length of Illumination^2)
Number of Floodlighting Units
Go Number of Floodlighting Units = (Area to be Lighted*Illumination Intensity)/(0.7*Lumen Flux)
Lambert's Cosine Law
Go Illuminance at Angle of Incidence = Illumination Intensity*cos(Incident Angle)
Spectral Transmission Factor
Go Spectral Transmission Factor = Transmitted Spectral Emission/Spectral Irradiation
Spectral Reflection Factor
Go Spectral Reflection Factor = Reflected Spectral Emission/Spectral Irradiation
Utilization Factor of Electrical Energy
Go Utilization Factor = Lumen Reaching Working Plane/Lumen Emitting from Source
Spectral Luminous Efficacy
Go Spectral Luminous Efficacy = Maximum Sensitivity*Photopic Efficiency Value
Inverse Square Law
Go Luminance = Intensity of Transmitted Light/Distance^2
Specific Consumption
Go Specific Consumption = (2*Input Power)/Candle Power
Luminance for Lambertian Surfaces
Go Luminance = Illumination Intensity/pi
Luminous Intensity
Go Luminous Intensity = Lumen/Solid Angle

Intensity of Light Transmitted Formula

Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length)
It = Io*exp(-α*x)

How do you find the intensity of a transmitted beam?

The intensity of a beam is just the power for each square metre of cross-section of the beam. So intensity is measured in watt metre-2. The greater the intensity, the brighter the beam, as more energy per second is detected by the absorbers placed in the beam (power = intensity × collision area of detector)

How to Calculate Intensity of Light Transmitted?

Intensity of Light Transmitted calculator uses Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length) to calculate the Intensity of Transmitted Light, The Intensity of Light Transmitted formula is defined as The transmitted light is polarized along the axis of the polarizer. When polarized light of intensity I0 is incident on a polarizer, the transmitted intensity is given by I = I0cos2θ, where θ is the angle between the polarization direction of the incident light and the axis of the filter. Intensity of Transmitted Light is denoted by It symbol.

How to calculate Intensity of Light Transmitted using this online calculator? To use this online calculator for Intensity of Light Transmitted, enter Intensity of Light Entering the Material (Io), Absorption Coefficient (α) & Path Length (x) and hit the calculate button. Here is how the Intensity of Light Transmitted calculation can be explained with given input values -> 19.7091 = 700*exp(-0.5001*7).

FAQ

What is Intensity of Light Transmitted?
The Intensity of Light Transmitted formula is defined as The transmitted light is polarized along the axis of the polarizer. When polarized light of intensity I0 is incident on a polarizer, the transmitted intensity is given by I = I0cos2θ, where θ is the angle between the polarization direction of the incident light and the axis of the filter and is represented as It = Io*exp(-α*x) or Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length). Intensity of Light Entering the Material is related to the energy of the EM wave (power per unit area). So when light passes through an interface some of it is reflected and some refracted, The absorption coefficient defines how far light of a particular wavelength can penetrate into a material before being absorbed. The absorption coefficient in inverse length units & Path Length of average number of steps along the shortest paths for all possible pairs of network nodes.
How to calculate Intensity of Light Transmitted?
The Intensity of Light Transmitted formula is defined as The transmitted light is polarized along the axis of the polarizer. When polarized light of intensity I0 is incident on a polarizer, the transmitted intensity is given by I = I0cos2θ, where θ is the angle between the polarization direction of the incident light and the axis of the filter is calculated using Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length). To calculate Intensity of Light Transmitted, you need Intensity of Light Entering the Material (Io), Absorption Coefficient (α) & Path Length (x). With our tool, you need to enter the respective value for Intensity of Light Entering the Material, Absorption Coefficient & Path Length 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 Intensity of Transmitted Light?
In this formula, Intensity of Transmitted Light uses Intensity of Light Entering the Material, Absorption Coefficient & Path Length. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length)
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