Luminous Intensity in Direction at Angle Calculator

✖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.ⓘ Luminance Normal to Surface [L_n]			+10% -10%
✖Surface Area is the area of the surface on which light is incident.ⓘ Surface Area [A]			+10% -10%
✖Angle to Normal is the angle between the luminous intensity ray and the normal.ⓘ Angle to Normal [θ]			+10% -10%

✖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.ⓘ Luminous Intensity in Direction at Angle [I_θ]

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Formula

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Luminous Intensity in Direction at Angle

Formula

`"I"_{"θ"} = "L"_{"n"}*"A"*cos("θ")`

Example

`"0.185102cd"="0.12lx"*"10m²"*cos("30rad")`

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Luminous Intensity in Direction at Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Luminous Intensity at Angle = Luminance Normal to Surface*Surface Area*cos(Angle to Normal)
I_θ = L_n*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

Luminous Intensity at Angle - (Measured in Candela) - 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.
Luminance Normal to Surface - (Measured in Lux) - 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.
Surface Area - (Measured in Square Meter) - Surface Area is the area of the surface on which light is incident.
Angle to Normal - (Measured in Radian) - Angle to Normal is the angle between the luminous intensity ray and the normal.

STEP 1: Convert Input(s) to Base Unit

Luminance Normal to Surface: 0.12 Lux --> 0.12 Lux No Conversion Required
Surface Area: 10 Square Meter --> 10 Square Meter No Conversion Required
Angle to Normal: 30 Radian --> 30 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_θ = L_n*A*cos(θ) --> 0.12*10*cos(30)

Evaluating ... ...

I_θ = 0.185101739865101

STEP 3: Convert Result to Output's Unit

0.185101739865101 Candela --> No Conversion Required

FINAL ANSWER

0.185101739865101 ≈ 0.185102 Candela <-- Luminous Intensity at Angle

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 14 Light Measurement Calculators

Luminous Intensity in Direction at Angle

Go Luminous Intensity at Angle = Luminance Normal to Surface*Surface Area*cos(Angle to Normal)

Transmission Factor

Go Transmission Factor = Luminous Flux Transmitted by Object/Luminous Flux Incident upon Object

Luminous Intensity in Direction Normal to Surface

Go Luminous Intensity Normal to Surface = Surface Area*Luminance Normal to Surface

Reflected Luminous Flux

Go Reflected Luminous Flux = Incident Luminous Flux*Reflection Factor

Incident Luminous Flux

Go Incident Luminous Flux = Reflected Luminous Flux/Reflection Factor

Area Projected at solid angle

Go Area Projected at Solid Angle = Magnetic Flux/Luminous Intensity

Intensity on Solid Angle

Go Luminous Intensity = Magnetic Flux/Area Projected at Solid Angle

Flux at Solid Angle

Go Magnetic Flux = Luminous Intensity*Area Projected at Solid Angle

Area of Bulb

Go Area of Bulb = Area of Capillary Tube*Length of Capillary Tube

Light flux

Go Flux Light = Photoelectric Current/Photoelectric Sensitivity

Illuminance

Go Illumination = Magnetic Flux/Surface Area

Area affected by Light Incident

Go Surface Area = Power Light/Irradiation

Irradiation

Go Irradiation = Power Light/Surface Area

Light Power

Go Power Light = Surface Area*Irradiation

Luminous Intensity in Direction at Angle Formula

Luminous Intensity at Angle = Luminance Normal to Surface*Surface Area*cos(Angle to Normal)
I_θ = L_n*A*cos(θ)

What is luminous intensity of LED?

The quantity of partial LED flux was introduced in CIE publication 127-2007. Luminous intensity involves a flux and a solid angle and is the ratio of the two; hence its unit is the candela which is the lumens per steradian.

How to Calculate Luminous Intensity in Direction at Angle?

Luminous Intensity in Direction at Angle calculator uses Luminous Intensity at Angle = Luminance Normal to Surface*Surface Area*cos(Angle to Normal) to calculate 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 calculate Luminous Intensity in Direction at Angle using this online calculator? To use this online calculator 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. Here is how the Luminous Intensity in Direction at Angle calculation can be explained with given input values -> 1.03923 = 0.12*10*cos(0.5235987755982).

FAQ

What is Luminous Intensity in Direction 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 and is represented as I_θ = L_n*A*cos(θ) or Luminous Intensity at Angle = Luminance Normal to Surface*Surface Area*cos(Angle to Normal). 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, Surface Area is the area of the surface on which light is incident & Angle to Normal is the angle between the luminous intensity ray and the normal.

How to calculate Luminous Intensity in Direction 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 is calculated using Luminous Intensity at Angle = Luminance Normal to Surface*Surface Area*cos(Angle to Normal). To calculate Luminous Intensity in Direction at Angle, you need Luminance Normal to Surface (L_n), Surface Area (A) & Angle to Normal (θ). With our tool, you need to enter the respective value for Luminance Normal to Surface, Surface Area & Angle to Normal 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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