Luminance Calculator

✖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.ⓘ Luminous Intensity [I_v]			+10% -10%
✖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.ⓘ Area of Illumination [A]			+10% -10%
✖The illumination angle refers to the angle at which light is emitted from a light source and spreads over a surface.ⓘ Illumination Angle [θ]			+10% -10%

✖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.ⓘ Luminance [L_v]

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Luminance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Luminance = Luminous Intensity/(Area of Illumination*cos(Illumination Angle))
L_v = I_v/(A*cos(θ))
This formula uses 1 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Luminance - (Measured in Lux) - 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.
Luminous Intensity - (Measured in Candela) - 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.
Area of Illumination - (Measured in Square Meter) - 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.
Illumination Angle - (Measured in Radian) - The illumination angle refers to the angle at which light is emitted from a light source and spreads over a surface.

STEP 1: Convert Input(s) to Base Unit

Luminous Intensity: 4.62 Candela --> 4.62 Candela No Conversion Required
Area of Illumination: 41 Square Meter --> 41 Square Meter No Conversion Required
Illumination Angle: 65 Degree --> 1.1344640137961 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_v = I_v/(A*cos(θ)) --> 4.62/(41*cos(1.1344640137961))

Evaluating ... ...

L_v = 0.266630519857549

STEP 3: Convert Result to Output's Unit

0.266630519857549 Lux -->0.266630519857549 Candela Steradian per Sq Meter (Check conversion here)

FINAL ANSWER

0.266630519857549 ≈ 0.266631 Candela Steradian per Sq Meter <-- Luminance

(Calculation completed in 00.020 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

Prahalad Singh has created this Calculator and 100+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Illumination Parameters Calculators

Number of Lamps Required for Illumination

LaTeX Go Number of Lamp = (Illumination Intensity*Area of Illumination)/(Luminous Flux*Utilization Factor*Maintenance Factor)

Reduction Factor

LaTeX Go Reduction Factor = Mean Spherical Candle Power/Mean Horizontal Candle Power

Solid Angle

LaTeX Go Solid Angle = Area of Illumination/(Radius of Illumination^2)

Mean Spherical Candle Power

LaTeX Go Mean Spherical Candle Power = Luminous Flux/(4*pi)

Luminance Formula

LaTeX Go

Luminance = Luminous Intensity/(Area of Illumination*cos(Illumination Angle))
L_v = I_v/(A*cos(θ))

What is the Luminance of the sun?

The sun has a luminance of about 1.6×109 cd/m2 at noon. Luminance is invariant in geometric optics. This means that for an ideal optical system, the luminance at the output is the same as the input luminance.

How to Calculate Luminance?

Luminance calculator uses Luminance = Luminous Intensity/(Area of Illumination*cos(Illumination Angle)) to calculate 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 calculate Luminance using this online calculator? To use this online calculator for Luminance, enter Luminous Intensity (I_v), Area of Illumination (A) & Illumination Angle (θ) and hit the calculate button. Here is how the Luminance calculation can be explained with given input values -> 0.266631 = 4.62/(41*cos(1.1344640137961)).

FAQ

What is 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 and is represented as L_v = I_v/(A*cos(θ)) or Luminance = Luminous Intensity/(Area of Illumination*cos(Illumination Angle)). 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, 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 & The illumination angle refers to the angle at which light is emitted from a light source and spreads over a surface.

How to calculate 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 is calculated using Luminance = Luminous Intensity/(Area of Illumination*cos(Illumination Angle)). To calculate Luminance, you need Luminous Intensity (I_v), Area of Illumination (A) & Illumination Angle (θ). With our tool, you need to enter the respective value for Luminous Intensity, Area of Illumination & Illumination Angle 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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