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Intensity of Transmitted Light varies as the square of the cosine of the angle between the two planes of transmission. Check FAQs
It=Io⋅exp(-β⋅c⋅x)
It - Intensity of Transmitted Light?Io - Intensity of Light Entering the Material?β - Absorption per Concentration Coefficient?c - Concentration of Absorption Material?x - Path Length?

Beer-Lambert Law Example

With values
With units
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Here is how the Beer-Lambert Law equation looks like with Values.

Here is how the Beer-Lambert Law equation looks like with Units.

Here is how the Beer-Lambert Law equation looks like.

21.7232Edit=700Edit⋅exp(-1.21Edit⋅0.41Edit⋅7Edit)
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Beer-Lambert Law Solution

Follow our step by step solution on how to calculate Beer-Lambert Law?

FIRST Step Consider the formula
It=Io⋅exp(-β⋅c⋅x)
Next Step Substitute values of Variables
∴ It=700cd⋅exp(-1.21⋅0.41⋅7m)
Next Step Prepare to Evaluate
∴ It=700⋅exp(-1.21⋅0.41⋅7)
Next Step Evaluate
∴It=21.7231895984896cd
LAST Step Rounding Answer
∴It=21.7232cd

Beer-Lambert Law Formula Elements

Variables
Functions
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: It
Measurement: Luminous IntensityUnit: cd
Note: Value can be positive or negative.
Formulas to find Intensity of Transmitted LightOpen Variable
Intensity of Light Entering the Material
Intensity of Light Entering the Material is related to the energy of the EM wave (power per unit area). So when light passes through an interface some of it is reflected and some refracted.
Symbol: Io
Measurement: Luminous IntensityUnit: cd
Note: Value can be positive or negative.
Formulas to find Intensity of Light Entering the MaterialOpen Variable
Absorption per Concentration Coefficient
Absorption per Concentration Coefficient is essentially the cross-sectional area per unit volume of medium.
Symbol: β
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Absorption per Concentration CoefficientOpen Variable
Concentration of Absorption Material
Concentration of Absorption Material is Absorbance is directly proportional to the concentration of the substance.
Symbol: c
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Concentration of Absorption MaterialOpen Variable
Path Length
Path Length of average number of steps along the shortest paths for all possible pairs of network nodes.
Symbol: x
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Formulas to find Path LengthOpen Variable
exp
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Syntax: exp(Number)

Other Formulas to find Intensity of Transmitted Light

​Go Intensity of Light Transmitted
It=Io⋅exp(-α⋅x)

Other formulas in Laws of Illumination category

​Go Specific Consumption
S.C.=2⋅PinCP
​Go Utilization Factor of Electrical Energy
UF=LrLe
​Go Luminous Intensity
Iv=Lmω
​Go Fresnel's Law of Reflection
rλ=(n2-n1)2(n2+n1)2

How to Evaluate Beer-Lambert Law?

Beer-Lambert Law evaluator uses Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length) to evaluate the Intensity of Transmitted Light, Beer-Lambert Law formula is defined as Beer-Lambert law states that the concentration of the sample and path length is directly proportional to the absorbance of the light. Intensity of Transmitted Light is denoted by It symbol.

How to evaluate Beer-Lambert Law using this online evaluator? To use this online evaluator for Beer-Lambert Law, enter Intensity of Light Entering the Material (Io), Absorption per Concentration Coefficient (β), Concentration of Absorption Material (c) & Path Length (x) and hit the calculate button.

FAQs on Beer-Lambert Law

What is the formula to find Beer-Lambert Law?
The formula of Beer-Lambert Law is expressed as Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length). Here is an example- 6.5E-9 = 700*exp(-1.21*0.41*7).
How to calculate Beer-Lambert Law?
With Intensity of Light Entering the Material (Io), Absorption per Concentration Coefficient (β), Concentration of Absorption Material (c) & Path Length (x) we can find Beer-Lambert Law using the formula - Intensity of Transmitted Light = Intensity of Light Entering the Material*exp(-Absorption per Concentration Coefficient*Concentration of Absorption Material*Path Length). This formula also uses Exponential Growth (exp) function(s).
What are the other ways to Calculate Intensity of Transmitted Light?
Here are the different ways to Calculate Intensity of Transmitted Light-
  • Intensity of Transmitted Light=Intensity of Light Entering the Material*exp(-Absorption Coefficient*Path Length)OpenImg
Can the Beer-Lambert Law be negative?
Yes, the Beer-Lambert Law, measured in Luminous Intensity can be negative.
Which unit is used to measure Beer-Lambert Law?
Beer-Lambert Law is usually measured using the Candela[cd] for Luminous Intensity. Candle (International)[cd], Decimal Candle[cd], Hefner Candle[cd] are the few other units in which Beer-Lambert Law can be measured.
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