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Illumination by Lambert Cosine Law Formula

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Illumination intensity refers to the level or strength of light in a given area. It quantifies the amount of light reaching a surface and is typically measured in units such as lux or foot-candles. Check FAQs

E v = \frac{I v \cdot \cos (θ)}{L^{2}}

E_v - Illumination Intensity?I_v - Luminous Intensity?θ - Illumination Angle?L - Length of Illumination?

Illumination by Lambert Cosine Law Example

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Here is how the Illumination by Lambert Cosine Law equation looks like with Values.

Here is how the Illumination by Lambert Cosine Law equation looks like with Units.

Here is how the Illumination by Lambert Cosine Law equation looks like.

0.4427 = \frac{4.62 \cdot \cos (65)}{{2.1}^{2}}

0.4427lx = \frac{4.62cd \cdot \cos (65°)}{{2.1m}^{2}}

0.4427 = \frac{4.62 \cdot \cos (65)}{{2.1}^{2}}

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Illumination by Lambert Cosine Law Solution

Follow our step by step solution on how to calculate Illumination by Lambert Cosine Law?

FIRST Step Consider the formula

E v = \frac{I v \cdot \cos (θ)}{L^{2}}

Next Step Substitute values of Variables

∴

E v = \frac{4.62cd \cdot \cos (65°)}{{2.1m}^{2}}

Next Step Convert Units

∴

E v = \frac{4.62cd \cdot \cos (1.1345rad)}{{2.1m}^{2}}

Next Step Prepare to Evaluate

∴

E v = \frac{4.62 \cdot \cos (1.1345)}{{2.1}^{2}}

Next Step Evaluate

∴

E v = 0.442742940871412lx

LAST Step Rounding Answer

∴

E v = 0.4427lx

Illumination by Lambert Cosine Law Formula Elements

Variables

Functions

Illumination Intensity

Illumination intensity refers to the level or strength of light in a given area. It quantifies the amount of light reaching a surface and is typically measured in units such as lux or foot-candles.

Symbol: E_v

Measurement: IlluminanceUnit: lx

Note: Value can be positive or negative.

Formulas to find Illumination Intensity

Luminous Intensity

Luminous intensity is a measure of the amount of light emitted by a light source in a specific direction. It quantifies the brightness or concentration of light in that direction.

Symbol: I_v

Measurement: Luminous IntensityUnit: cd

Note: Value can be positive or negative.

Formulas to find Luminous Intensity

Illumination Angle

The illumination angle refers to the angle at which light is emitted from a light source and spreads over a surface.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Illumination Angle

Length of Illumination

Length of illumination refers to the duration or period of time that a lighting system or light source remains turned on and provides illumination before being switched off or replaced.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Illumination

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Laws of Illumination category

Go Specific Consumption

S.C. = \frac{2 \cdot P in}{CP}

Go Utilization Factor of Electrical Energy

UF = \frac{L r}{L e}

Go Luminous Intensity

I v = \frac{Lm}{ω}

Go Beer-Lambert Law

I t = I o \cdot \exp (- β \cdot c \cdot x)

How to Evaluate Illumination by Lambert Cosine Law?

Illumination by Lambert Cosine Law evaluator uses Illumination Intensity = (Luminous Intensity*cos(Illumination Angle))/(Length of Illumination^2) to evaluate the Illumination Intensity, Illumination by Lambert Cosine Law is a fundamental principle in photometry and lighting that describes the relationship between the illumination of a surface and the angle of incidence of light. This law essentially tells us that surfaces appear brighter when they are directly illuminated (θ = 0°) and become progressively darker as the angle of incidence increases (θ approaches 90°). This is because as the angle increases, the light is spread over a larger area, resulting in lower intensity at each point. Illumination Intensity is denoted by E_v symbol.

How to evaluate Illumination by Lambert Cosine Law using this online evaluator? To use this online evaluator for Illumination by Lambert Cosine Law, enter Luminous Intensity (I_v), Illumination Angle (θ) & Length of Illumination (L) and hit the calculate button.

FAQs on Illumination by Lambert Cosine Law

What is the formula to find Illumination by Lambert Cosine Law?

The formula of Illumination by Lambert Cosine Law is expressed as Illumination Intensity = (Luminous Intensity*cos(Illumination Angle))/(Length of Illumination^2). Here is an example- 3.641609 = (4.62*cos(1.1344640137961))/(2.1^2).

How to calculate Illumination by Lambert Cosine Law?

With Luminous Intensity (I_v), Illumination Angle (θ) & Length of Illumination (L) we can find Illumination by Lambert Cosine Law using the formula - Illumination Intensity = (Luminous Intensity*cos(Illumination Angle))/(Length of Illumination^2). This formula also uses Cosine (cos) function(s).

Can the Illumination by Lambert Cosine Law be negative?

Yes, the Illumination by Lambert Cosine Law, measured in Illuminance can be negative.

Which unit is used to measure Illumination by Lambert Cosine Law?

Illumination by Lambert Cosine Law is usually measured using the Lux[lx] for Illuminance. Candela Steradian per Sq Meter[lx] are the few other units in which Illumination by Lambert Cosine Law can be measured.

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Illumination by Lambert Cosine Law Formula

Illumination by Lambert Cosine Law Example

Illumination by Lambert Cosine Law Solution

Illumination by Lambert Cosine Law Formula Elements

Other formulas in Laws of Illumination category

How to Evaluate Illumination by Lambert Cosine Law?

FAQs on Illumination by Lambert Cosine Law

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