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Modified Version of Allard's Law Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
Eth = ((I-Lo*A)*exp(-σ*R))*R^-2
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
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)
Area of the Light Source - Area of the Light Source considered (Measured in Square Meter)
Extinction Coefficient - Extinction Coefficient Meteorological
Visual Range - Visual Range at which various lightings must be seen in order to provide the required visual segment. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Intensity of light: 1000 Candela --> 1000 Candela No Conversion Required
Luminance of the Background of the Light: 100 Lux --> 100 Lux No Conversion Required
Area of the Light Source: 10 Square Meter --> 10 Square Meter No Conversion Required
Extinction Coefficient : 0.016 --> No Conversion Required
Visual Range: 150 Meter --> 150 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Eth = ((I-Lo*A)*exp(-σ*R))*R^-2 --> ((1000-100*10)*exp(-0.016*150))*150^-2
Evaluating ... ...
Eth = 0
STEP 3: Convert Result to Output's Unit
0 Lux --> No Conversion Required
FINAL ANSWER
0 Lux <-- Illuminance of the Eye at Threshold
(Calculation completed in 00.059 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
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

Modified Version of Allard's Law Formula

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
Eth = ((I-Lo*A)*exp(-σ*R))*R^-2

What is Illuminance?

Illuminance is the total luminous flux incident on a surface, per unit area. It is a measure of how much the incident light illuminates the surface.

How to Calculate Modified Version of Allard's Law?

Modified Version of Allard's Law calculator uses 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 to calculate the Illuminance of the Eye at Threshold, The Modified Version of Allard's Law is the improvised 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). . Illuminance of the Eye at Threshold and is denoted by Eth symbol.

How to calculate Modified Version of Allard's Law using this online calculator? To use this online calculator for Modified Version of Allard's Law, enter Intensity of light (I), Luminance of the Background of the Light (Lo), Area of the Light Source (A), Extinction Coefficient (σ) and Visual Range (R) and hit the calculate button. Here is how the Modified Version of Allard's Law calculation can be explained with given input values -> 0 = ((1000-100*10)*exp(-0.016*150))*150^-2.

FAQ

What is Modified Version of Allard's Law?
The Modified Version of Allard's Law is the improvised 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). and is represented as Eth = ((I-Lo*A)*exp(-σ*R))*R^-2 or 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. Intensity of light is a measure of the wavelength-weighted power emitted by a light source in a particular direction per unit solid angle, Luminance of the Background of the Light, Area of the Light Source considered, Extinction Coefficient Meteorological and Visual Range at which various lightings must be seen in order to provide the required visual segment.
How to calculate Modified Version of Allard's Law?
The Modified Version of Allard's Law is the improvised 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). is calculated using 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. To calculate Modified Version of Allard's Law, you need Intensity of light (I), Luminance of the Background of the Light (Lo), Area of the Light Source (A), Extinction Coefficient (σ) and Visual Range (R). With our tool, you need to enter the respective value for Intensity of light, Luminance of the Background of the Light, Area of the Light Source, Extinction Coefficient and Visual Range 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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