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)
Iθ = Ln*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
Iθ = Ln*A*cos(θ) --> 0.12*10*cos(30)
Evaluating ... ...
Iθ = 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)

Credits

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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)
Iθ = Ln*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 Iθ 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 (Ln), 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 Iθ = Ln*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 (Ln), 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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