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Inverse Square Law Formula

GoLuminance for Lambertian Surfaces 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 t}{d^{2}}

L_v - Luminance?I_t - Intensity of Transmitted Light?d - Distance?

Inverse Square Law Example

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Here is how the Inverse Square Law equation looks like with Values.

Here is how the Inverse Square Law equation looks like with Units.

Here is how the Inverse Square Law equation looks like.

0.2651 = \frac{21}{{8.9}^{2}}

0.2651cd*sr/m² = \frac{21cd}{{8.9m}^{2}}

0.2651 = \frac{21}{{8.9}^{2}}

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Inverse Square Law Solution

Follow our step by step solution on how to calculate Inverse Square Law?

FIRST Step Consider the formula

L v = \frac{I t}{d^{2}}

Next Step Substitute values of Variables

∴

L v = \frac{21cd}{{8.9m}^{2}}

Next Step Prepare to Evaluate

∴

L v = \frac{21}{{8.9}^{2}}

Next Step Evaluate

∴

L v = 0.265118040651433lx

Next Step Convert to Output's Unit

∴

L v = 0.265118040651433cd*sr/m²

LAST Step Rounding Answer

∴

L v = 0.2651cd*sr/m²

Inverse Square Law Formula Elements

Variables

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

Intensity of Transmitted Light

Intensity of Transmitted Light varies as the square of the cosine of the angle between the two planes of transmission.

Symbol: I_t

Measurement: Luminous IntensityUnit: cd

Note: Value can be positive or negative.

Formulas to find Intensity of Transmitted Light

Distance

The distance from the light source.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance

Other Formulas to find Luminance

Go Luminance for Lambertian Surfaces

L v = \frac{E v}{π}

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 Inverse Square Law?

Inverse Square Law evaluator uses Luminance = Intensity of Transmitted Light/Distance^2 to evaluate the Luminance, The Inverse Square Law formula is defined as a law stating that the intensity of an effect such as illumination or gravitational force changes in inverse proportion to the square of the distance from the source. Luminance is denoted by L_v symbol.

How to evaluate Inverse Square Law using this online evaluator? To use this online evaluator for Inverse Square Law, enter Intensity of Transmitted Light (I_t) & Distance (d) and hit the calculate button.

FAQs on Inverse Square Law

What is the formula to find Inverse Square Law?

The formula of Inverse Square Law is expressed as Luminance = Intensity of Transmitted Light/Distance^2. Here is an example- 1.018844 = 21/8.9^2.

How to calculate Inverse Square Law?

With Intensity of Transmitted Light (I_t) & Distance (d) we can find Inverse Square Law using the formula - Luminance = Intensity of Transmitted Light/Distance^2.

What are the other ways to Calculate Luminance?

Here are the different ways to Calculate Luminance-

Luminance=Illumination Intensity/pi

Can the Inverse Square Law be negative?

Yes, the Inverse Square Law, measured in Illuminance can be negative.

Which unit is used to measure Inverse Square Law?

Inverse Square Law 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 Inverse Square Law can be measured.

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