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Luminance of the background of the Light when modified Illuminance of Allard's Law is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
luminance_of_background = -(((Illuminance of the Eye at Threshold/Visual Range^-2)/exp(-Extinction Coefficient *Visual Range))-Intensity of light)/Area of the Light Source
Lo = -(((Eth/R^-2)/exp(-σ*R))-I)/A
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Functions Used
exp - Exponential function, exp(Number)
Variables Used
Illuminance of the Eye at Threshold - Illuminance of the Eye at Threshold (Measured in Lux)
Visual Range - Visual Range at which various lightings must be seen in order to provide the required visual segment. (Measured in Meter)
Extinction Coefficient - Extinction Coefficient Meteorological
Intensity of light - Intensity of light is a measure of the wavelength-weighted power emitted by a light source in a particular direction per unit solid angle. (Measured in Candela)
Area of the Light Source - Area of the Light Source considered (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Illuminance of the Eye at Threshold: 100 Lux --> 100 Lux No Conversion Required
Visual Range: 150 Meter --> 150 Meter No Conversion Required
Extinction Coefficient : 0.016 --> No Conversion Required
Intensity of light: 1000 Candela --> 1000 Candela No Conversion Required
Area of the Light Source: 10 Square Meter --> 10 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Lo = -(((Eth/R^-2)/exp(-σ*R))-I)/A --> -(((100/150^-2)/exp(-0.016*150))-1000)/10
Evaluating ... ...
Lo = -2480114.68564436
STEP 3: Convert Result to Output's Unit
-2480114.68564436 Lux --> No Conversion Required
FINAL ANSWER
-2480114.68564436 Lux <-- Luminance of the Background of the Light
(Calculation completed in 00.031 seconds)

5 Other formulas that you can solve using the same Inputs

Intensity of Light when modified Illuminance of Allard's Law is Given
intensity_of_light = ((Illuminance of the Eye at Threshold/Visual Range^-2)/exp(-Extinction Coefficient *Visual Range))+(Luminance of the Background of the Light*Area of the Light Source) Go
Area of the Light when modified Illuminance of Allard's Law is Given
area_of_light_source = -(((Illuminance of the Eye at Threshold/Visual Range^-2)/exp(-Extinction Coefficient *Visual Range))-Intensity of light)/Luminance of the Background of the Light Go
Modified Version of Allard's Law
illuminance_of_eye_threshold = ((Intensity of light-Luminance of the Background of the Light*Area of the Light Source)*exp(-Extinction Coefficient *Visual Range))*Visual Range^-2 Go
Transmissivity when Illumination is Given
transmissivity = ((Illumination *Distance Traveled^2)/Intensity of light)^1/Distance Traveled Go
Allard's Law for Illumination
illumination_1 = Intensity of light*(Transmissivity^Distance Traveled)/Distance Traveled^2 Go

Luminance of the background of the Light when modified Illuminance of Allard's Law is Given Formula

luminance_of_background = -(((Illuminance of the Eye at Threshold/Visual Range^-2)/exp(-Extinction Coefficient *Visual Range))-Intensity of light)/Area of the Light Source
Lo = -(((Eth/R^-2)/exp(-σ*R))-I)/A

What is Allard's law for illumination?

Allard's law for illumination is a formula relating the illuminance produced on a normal surface at a given distance from a point source of light, the intensity of the light and the degree of transparency of the atmosphere (assumed uniform). I is the intensity of the incident light in the direction of measurement.

How to Calculate Luminance of the background of the Light when modified Illuminance of Allard's Law is Given?

Luminance of the background of the Light when modified Illuminance of Allard's Law is Given calculator uses luminance_of_background = -(((Illuminance of the Eye at Threshold/Visual Range^-2)/exp(-Extinction Coefficient *Visual Range))-Intensity of light)/Area of the Light Source to calculate the Luminance of the Background of the Light, The Luminance of the background of the Light when modified Illuminance of Allard's Law is Given is defined as the intensity of light emitted from a surface per unit area in a given direction. Luminance of the Background of the Light and is denoted by Lo symbol.

How to calculate Luminance of the background of the Light when modified Illuminance of Allard's Law is Given using this online calculator? To use this online calculator for Luminance of the background of the Light when modified Illuminance of Allard's Law is Given, enter Illuminance of the Eye at Threshold (Eth), Visual Range (R), Extinction Coefficient (σ), Intensity of light (I) and Area of the Light Source (A) and hit the calculate button. Here is how the Luminance of the background of the Light when modified Illuminance of Allard's Law is Given calculation can be explained with given input values -> -2480114.685644 = -(((100/150^-2)/exp(-0.016*150))-1000)/10.

FAQ

What is Luminance of the background of the Light when modified Illuminance of Allard's Law is Given?
The Luminance of the background of the Light when modified Illuminance of Allard's Law is Given is defined as the intensity of light emitted from a surface per unit area in a given direction and is represented as Lo = -(((Eth/R^-2)/exp(-σ*R))-I)/A or luminance_of_background = -(((Illuminance of the Eye at Threshold/Visual Range^-2)/exp(-Extinction Coefficient *Visual Range))-Intensity of light)/Area of the Light Source. Illuminance of the Eye at Threshold, Visual Range at which various lightings must be seen in order to provide the required visual segment, Extinction Coefficient Meteorological , Intensity of light is a measure of the wavelength-weighted power emitted by a light source in a particular direction per unit solid angle and Area of the Light Source considered.
How to calculate Luminance of the background of the Light when modified Illuminance of Allard's Law is Given?
The Luminance of the background of the Light when modified Illuminance of Allard's Law is Given is defined as the intensity of light emitted from a surface per unit area in a given direction is calculated using luminance_of_background = -(((Illuminance of the Eye at Threshold/Visual Range^-2)/exp(-Extinction Coefficient *Visual Range))-Intensity of light)/Area of the Light Source. To calculate Luminance of the background of the Light when modified Illuminance of Allard's Law is Given, you need Illuminance of the Eye at Threshold (Eth), Visual Range (R), Extinction Coefficient (σ), Intensity of light (I) and Area of the Light Source (A). With our tool, you need to enter the respective value for Illuminance of the Eye at Threshold, Visual Range, Extinction Coefficient , Intensity of light and Area of the Light Source and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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