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

STEP 0: Pre-Calculation Summary
Formula Used
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
A = -(((Eth/R^-2)/exp(-σ*R))-I)/Lo
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)
Luminance of the Background of the Light - Luminance of the Background of the Light (Measured in Lux)
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
Luminance of the Background of the Light: 100 Lux --> 100 Lux No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = -(((Eth/R^-2)/exp(-σ*R))-I)/Lo --> -(((100/150^-2)/exp(-0.016*150))-1000)/100
Evaluating ... ...
A = -248011.468564436
STEP 3: Convert Result to Output's Unit
-248011.468564436 Square Meter --> No Conversion Required
FINAL ANSWER
-248011.468564436 Square Meter <-- Area of the Light Source
(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
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
Luminance of the background of the Light when modified Illuminance of Allard's Law is Given
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 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

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

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
A = -(((Eth/R^-2)/exp(-σ*R))-I)/Lo

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 Area of the Light when modified Illuminance of Allard's Law is Given?

Area of the Light when modified Illuminance of Allard's Law is Given calculator uses 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 to calculate the Area of the Light Source, The Area of the Light when modified Illuminance of Allard's Law is Given is defined as the light that casts directional light rays from within a set boundary, either a rectangle or circle. Area of the Light Source and is denoted by A symbol.

How to calculate Area of the Light when modified Illuminance of Allard's Law is Given using this online calculator? To use this online calculator for Area 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 Luminance of the Background of the Light (Lo) and hit the calculate button. Here is how the Area of the Light when modified Illuminance of Allard's Law is Given calculation can be explained with given input values -> -248011.468564 = -(((100/150^-2)/exp(-0.016*150))-1000)/100.

FAQ

What is Area of the Light when modified Illuminance of Allard's Law is Given?
The Area of the Light when modified Illuminance of Allard's Law is Given is defined as the light that casts directional light rays from within a set boundary, either a rectangle or circle and is represented as A = -(((Eth/R^-2)/exp(-σ*R))-I)/Lo or 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. 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 Luminance of the Background of the Light.
How to calculate Area of the Light when modified Illuminance of Allard's Law is Given?
The Area of the Light when modified Illuminance of Allard's Law is Given is defined as the light that casts directional light rays from within a set boundary, either a rectangle or circle is calculated using 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. To calculate Area 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 Luminance of the Background of the Light (Lo). 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 Luminance of the Background of the Light 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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