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Initial Radiation Intensity Formula

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Initial Radiation Intensity is the radiant flux emitted, reflected, transmitted or received, per unit solid angle. Check FAQs

I λo = \frac{I λx}{\exp (- (α λ \cdot x))}

I_λo - Initial Radiation Intensity?I_λx - Radiation Intensity at Distance x?α_λ - Monochromatic Absorption Coefficient?x - Distance?

Initial Radiation Intensity Example

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Here is how the Initial Radiation Intensity equation looks like with Values.

Here is how the Initial Radiation Intensity equation looks like with Units.

Here is how the Initial Radiation Intensity equation looks like.

919.4156 = \frac{638}{\exp (- (0.42 \cdot 0.87))}

919.4156W/sr = \frac{638W/sr}{\exp (- (0.42 \cdot 0.87m))}

919.4156 = \frac{638}{\exp (- (0.42 \cdot 0.87))}

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Initial Radiation Intensity Solution

Follow our step by step solution on how to calculate Initial Radiation Intensity?

FIRST Step Consider the formula

I λo = \frac{I λx}{\exp (- (α λ \cdot x))}

Next Step Substitute values of Variables

∴

I λo = \frac{638W/sr}{\exp (- (0.42 \cdot 0.87m))}

Next Step Prepare to Evaluate

∴

I λo = \frac{638}{\exp (- (0.42 \cdot 0.87))}

Next Step Evaluate

∴

I λo = 919.415629907719W/sr

LAST Step Rounding Answer

∴

I λo = 919.4156W/sr

Initial Radiation Intensity Formula Elements

Variables

Functions

Initial Radiation Intensity

Initial Radiation Intensity is the radiant flux emitted, reflected, transmitted or received, per unit solid angle.

Symbol: I_λo

Measurement: Radiant IntensityUnit: W/sr

Note: Value should be greater than 0.

Formulas to find Initial Radiation Intensity

Radiation Intensity at Distance x

Radiation intensity at Distance x is the radiant flux emitted, reflected, transmitted or received, per unit solid angle.

Symbol: I_λx

Measurement: Radiant IntensityUnit: W/sr

Note: Value should be greater than 0.

Formulas to find Radiation Intensity at Distance x

Monochromatic Absorption Coefficient

Monochromatic Absorption Coefficient is defined as the proportionality constant where thickness of the gas layer and the intensity of radiation are proportional.

Symbol: α_λ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Monochromatic Absorption Coefficient

Distance

Distance is the length across which the absorption of radiation beam is taking place.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance

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 in Gas Radiation category

Go Monochromatic Absorption Coefficient if Gas is Non-Reflecting

α λ = 1 - 𝜏 λ

Go Monochromatic Transmissivity

𝜏 λ = \exp (- (α λ \cdot x))

Go Monochromatic Transmissivity if Gas is Non Reflecting

𝜏 λ = 1 - α λ

Go Radiation Intensity at given Distance using Beer's Law

I λx = I λo \cdot \exp (- (α λ \cdot x))

How to Evaluate Initial Radiation Intensity?

Initial Radiation Intensity evaluator uses Initial Radiation Intensity = Radiation Intensity at Distance x/exp(-(Monochromatic Absorption Coefficient*Distance)) to evaluate the Initial Radiation Intensity, The Initial Radiation Intensity formula is defined as the function of Radiation Intensity at distance x, absorption Coefficient and distance upto which radiation is absorbed in gas layer. Initial Radiation Intensity is denoted by I_λo symbol.

How to evaluate Initial Radiation Intensity using this online evaluator? To use this online evaluator for Initial Radiation Intensity, enter Radiation Intensity at Distance x (I_λx), Monochromatic Absorption Coefficient (α_λ) & Distance (x) and hit the calculate button.

FAQs on Initial Radiation Intensity

What is the formula to find Initial Radiation Intensity?

The formula of Initial Radiation Intensity is expressed as Initial Radiation Intensity = Radiation Intensity at Distance x/exp(-(Monochromatic Absorption Coefficient*Distance)). Here is an example- 919.4156 = 638/exp(-(0.42*0.87)).

How to calculate Initial Radiation Intensity?

With Radiation Intensity at Distance x (I_λx), Monochromatic Absorption Coefficient (α_λ) & Distance (x) we can find Initial Radiation Intensity using the formula - Initial Radiation Intensity = Radiation Intensity at Distance x/exp(-(Monochromatic Absorption Coefficient*Distance)). This formula also uses Exponential Growth (exp) function(s).

Can the Initial Radiation Intensity be negative?

No, the Initial Radiation Intensity, measured in Radiant Intensity cannot be negative.

Which unit is used to measure Initial Radiation Intensity?

Initial Radiation Intensity is usually measured using the Watt per Steradian[W/sr] for Radiant Intensity. are the few other units in which Initial Radiation Intensity can be measured.

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Initial Radiation Intensity Formula

Initial Radiation Intensity Example

Initial Radiation Intensity Solution

Initial Radiation Intensity Formula Elements

Other formulas in Gas Radiation category

How to Evaluate Initial Radiation Intensity?

FAQs on Initial Radiation Intensity

Variable Name