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Lumens Formula

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Lumen is a unit of measurement that quantifies the total amount of visible light emitted by a light source. It represents the brightness or light output of the source, irrespective of direction. Check FAQs

Lm = CP \cdot ω

Lm - Lumen?CP - Candle Power?ω - Solid Angle?

Lumens Example

With values

With units

Only example

Here is how the Lumens equation looks like with Values.

Here is how the Lumens equation looks like with Units.

Here is how the Lumens equation looks like.

41.85 = 1.55 \cdot 27

41.85cd*sr = 1.55cd \cdot 27sr

41.85 = 1.55 \cdot 27

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Lumens Solution

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

FIRST Step Consider the formula

Lm = CP \cdot ω

Next Step Substitute values of Variables

∴

Lm = 1.55cd \cdot 27sr

Next Step Prepare to Evaluate

∴

Lm = 1.55 \cdot 27

Next Step Evaluate

∴

Lm = 41.85lm

LAST Step Convert to Output's Unit

∴

Lm = 41.85cd*sr

Lumens Formula Elements

Variables

Lumen

Lumen is a unit of measurement that quantifies the total amount of visible light emitted by a light source. It represents the brightness or light output of the source, irrespective of direction.

Symbol: Lm

Measurement: Luminous FluxUnit: cd*sr

Note: Value can be positive or negative.

Formulas to find Lumen

Candle Power

Candle power is an older term used to describe the intensity of light emitted by a source, but it has largely been superseded by the SI unit candela for modern illumination measurements.

Symbol: CP

Measurement: Luminous IntensityUnit: cd

Note: Value should be greater than 0.

Formulas to find Candle Power

Solid Angle

Solid angle is a measure of the extent of a cone-shaped region in three-dimensional space, originating from a point and defined by its vertex angle. It quantifies the spatial coverage.

Symbol: ω

Measurement: Solid AngleUnit: sr

Note: Value can be positive or negative.

Formulas to find Solid 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 Lumens?

Lumens evaluator uses Lumen = Candle Power*Solid Angle to evaluate the Lumen, The Lumens formula is defined as the product of the candle power and solid angle. It is denoted as L. Lumen is denoted by Lm symbol.

How to evaluate Lumens using this online evaluator? To use this online evaluator for Lumens, enter Candle Power (CP) & Solid Angle (ω) and hit the calculate button.

FAQs on Lumens

What is the formula to find Lumens?

The formula of Lumens is expressed as Lumen = Candle Power*Solid Angle. Here is an example- 41.85 = 1.55*27.

How to calculate Lumens?

With Candle Power (CP) & Solid Angle (ω) we can find Lumens using the formula - Lumen = Candle Power*Solid Angle.

Can the Lumens be negative?

Yes, the Lumens, measured in Luminous Flux can be negative.

Which unit is used to measure Lumens?

Lumens is usually measured using the Candela Steradian[cd*sr] for Luminous Flux. Lumen[cd*sr], Lux Square Meter[cd*sr] are the few other units in which Lumens can be measured.

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