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Luminance Formula

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Luminance refers to the amount of light emitted, reflected, or transmitted by a surface or object per unit area. It measures the brightness or intensity of the light perceived by an observer. Check FAQs

L v = \frac{I v}{A \cdot \cos (θ)}

L_v - Luminance?I_v - Luminous Intensity?A - Area of Illumination?θ - Illumination Angle?

Luminance Example

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With units

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Here is how the Luminance equation looks like with Values.

Here is how the Luminance equation looks like with Units.

Here is how the Luminance equation looks like.

0.2666 = \frac{4.62}{41 \cdot \cos (65)}

0.2666cd*sr/m² = \frac{4.62cd}{41m² \cdot \cos (65°)}

0.2666 = \frac{4.62}{41 \cdot \cos (65)}

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Luminance Solution

Follow our step by step solution on how to calculate Luminance?

FIRST Step Consider the formula

L v = \frac{I v}{A \cdot \cos (θ)}

Next Step Substitute values of Variables

∴

L v = \frac{4.62cd}{41m² \cdot \cos (65°)}

Next Step Convert Units

∴

L v = \frac{4.62cd}{41m² \cdot \cos (1.1345rad)}

Next Step Prepare to Evaluate

∴

L v = \frac{4.62}{41 \cdot \cos (1.1345)}

Next Step Evaluate

∴

L v = 0.266630519857549lx

Next Step Convert to Output's Unit

∴

L v = 0.266630519857549cd*sr/m²

LAST Step Rounding Answer

∴

L v = 0.2666cd*sr/m²

Luminance Formula Elements

Variables

Functions

Luminance

Luminance refers to the amount of light emitted, reflected, or transmitted by a surface or object per unit area. It measures the brightness or intensity of the light perceived by an observer.

Symbol: L_v

Measurement: IlluminanceUnit: cd*sr/m²

Note: Value can be positive or negative.

Formulas to find Luminance

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

Area of Illumination

Area of illumination refers to the size or extent of the space covered by light from a source, determining the reach and coverage of light in that area.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Illumination

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

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 Illumination Parameters category

Go Solid Angle

ω = \frac{A}{r^{2}}

Go Reduction Factor

RF = \frac{M.S.C.P.}{M.H.C.P.}

Go Number of Lamps Required for Illumination

N Lamp = \frac{E v \cdot A}{F \cdot UF \cdot MF}

Go Mean Spherical Candle Power

M.S.C.P. = \frac{F}{4 \cdot π}

How to Evaluate Luminance?

Luminance evaluator uses Luminance = Luminous Intensity/(Area of Illumination*cos(Illumination Angle)) to evaluate the Luminance, The luminance formula is defined as the ratio between the current and the product of the area and cosine at a surface. It is denoted as L. Luminance is denoted by L_v symbol.

How to evaluate Luminance using this online evaluator? To use this online evaluator for Luminance, enter Luminous Intensity (I_v), Area of Illumination (A) & Illumination Angle (θ) and hit the calculate button.

FAQs on Luminance

What is the formula to find Luminance?

The formula of Luminance is expressed as Luminance = Luminous Intensity/(Area of Illumination*cos(Illumination Angle)). Here is an example- 0.266631 = 4.62/(41*cos(1.1344640137961)).

How to calculate Luminance?

With Luminous Intensity (I_v), Area of Illumination (A) & Illumination Angle (θ) we can find Luminance using the formula - Luminance = Luminous Intensity/(Area of Illumination*cos(Illumination Angle)). This formula also uses Cosine (cos) function(s).

Can the Luminance be negative?

Yes, the Luminance, measured in Illuminance can be negative.

Which unit is used to measure Luminance?

Luminance is usually measured using the Candela Steradian per Sq Meter[cd*sr/m²] for Illuminance. Lux[cd*sr/m²] are the few other units in which Luminance can be measured.

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Luminance Formula

Luminance Example

Luminance Solution

Luminance Formula Elements

Other formulas in Illumination Parameters category

How to Evaluate Luminance?

FAQs on Luminance

Variable Name