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Luminous Intensity in Direction at Angle Formula

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Luminous Intensity at Angle is defined as is a measure of the wavelength-weighted power emitted by a light source in a particular direction at the angle of theta. Check FAQs

I θ = L n \cdot A \cdot \cos (θ)

I_θ - Luminous Intensity at Angle?L_n - Luminance Normal to Surface?A - Surface Area?θ - Angle to Normal?

Luminous Intensity in Direction at Angle Example

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Here is how the Luminous Intensity in Direction at Angle equation looks like with Values.

Here is how the Luminous Intensity in Direction at Angle equation looks like with Units.

Here is how the Luminous Intensity in Direction at Angle equation looks like.

5.6085 = 0.37 \cdot 28.5 \cdot \cos (1.01)

5.6085cd = 0.37lx \cdot 28.5m² \cdot \cos (1.01rad)

5.6085 = 0.37 \cdot 28.5 \cdot \cos (1.01)

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Luminous Intensity in Direction at Angle Solution

Follow our step by step solution on how to calculate Luminous Intensity in Direction at Angle?

FIRST Step Consider the formula

I θ = L n \cdot A \cdot \cos (θ)

Next Step Substitute values of Variables

∴

I θ = 0.37lx \cdot 28.5m² \cdot \cos (1.01rad)

Next Step Prepare to Evaluate

∴

I θ = 0.37 \cdot 28.5 \cdot \cos (1.01)

Next Step Evaluate

∴

I θ = 5.60847130689258cd

LAST Step Rounding Answer

∴

I θ = 5.6085cd

Luminous Intensity in Direction at Angle Formula Elements

Variables

Functions

Luminous Intensity at Angle

Luminous Intensity at Angle is defined as is a measure of the wavelength-weighted power emitted by a light source in a particular direction at the angle of theta.

Symbol: I_θ

Measurement: Luminous IntensityUnit: cd

Note: Value should be greater than 0.

Formulas to find Luminous Intensity at Angle

Luminance Normal to Surface

Luminance Normal to Surface is defined as a measure of wavelength-weighted power emitted by the light source in a particular direction per unit solid angle.

Symbol: L_n

Measurement: IlluminanceUnit: lx

Note: Value should be greater than 0.

Formulas to find Luminance Normal to Surface

Surface Area

Surface Area refers to the total area of a surface that light rays strike. This area determines the amount of light energy absorbed, reflected, or transmitted by the surface.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area

Angle to Normal

Angle to Normal is the angle between the luminous intensity ray and the normal.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Angle to Normal

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Light Measurement category

Go Area affected by Light Incident

A = \frac{L p}{H}

Go Intensity on Solid Angle

I = \frac{Φ m}{Ω}

Go Flux at Solid Angle

Φ m = I \cdot Ω

Go Reflected Luminous Flux

Φ r = Φ i \cdot ρ

How to Evaluate Luminous Intensity in Direction at Angle?

Luminous Intensity in Direction at Angle evaluator uses Luminous Intensity at Angle = Luminance Normal to Surface*Surface Area*cos(Angle to Normal) to evaluate the Luminous Intensity at Angle, The Luminous Intensity in direction at angle formula is defined as is a measure of the wavelength-weighted power emitted by a light source in a particular direction at the angle of theta. Luminous Intensity at Angle is denoted by I_θ symbol.

How to evaluate Luminous Intensity in Direction at Angle using this online evaluator? To use this online evaluator for Luminous Intensity in Direction at Angle, enter Luminance Normal to Surface (L_n), Surface Area (A) & Angle to Normal (θ) and hit the calculate button.

FAQs on Luminous Intensity in Direction at Angle

What is the formula to find Luminous Intensity in Direction at Angle?

The formula of Luminous Intensity in Direction at Angle is expressed as Luminous Intensity at Angle = Luminance Normal to Surface*Surface Area*cos(Angle to Normal). Here is an example- 1.818964 = 0.37*28.5*cos(1.01).

How to calculate Luminous Intensity in Direction at Angle?

With Luminance Normal to Surface (L_n), Surface Area (A) & Angle to Normal (θ) we can find Luminous Intensity in Direction at Angle using the formula - Luminous Intensity at Angle = Luminance Normal to Surface*Surface Area*cos(Angle to Normal). This formula also uses Cosine (cos) function(s).

Can the Luminous Intensity in Direction at Angle be negative?

No, the Luminous Intensity in Direction at Angle, measured in Luminous Intensity cannot be negative.

Which unit is used to measure Luminous Intensity in Direction at Angle?

Luminous Intensity in Direction at Angle 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 Luminous Intensity in Direction at Angle can be measured.

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Luminous Intensity in Direction at Angle Formula

Luminous Intensity in Direction at Angle Example

Luminous Intensity in Direction at Angle Solution

Luminous Intensity in Direction at Angle Formula Elements

Other formulas in Light Measurement category

How to Evaluate Luminous Intensity in Direction at Angle?

FAQs on Luminous Intensity in Direction at Angle

Variable Name