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Lumen to Candela Calculator

Candela Formula:

\[ cd = \frac{Lumens}{4\pi \times (1 - \cos(\theta/2))} \]

lumens (lm)
degrees (°)

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1. What is a Lumen to Candela Calculator?

Definition: This calculator converts luminous flux (lumens) to luminous intensity (candela) for a light source with a specific beam angle.

Purpose: It helps lighting designers and engineers understand the directional intensity of light sources.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ cd = \frac{Lumens}{4\pi \times (1 - \cos(\theta/2))} \]

Where:

Explanation: The formula accounts for how the light is distributed within the specified beam angle.

3. Importance of Lumen to Candela Conversion

Details: Candela measures directional intensity, which is crucial for applications like spotlights, flashlights, and directional lighting where beam angle matters.

4. Using the Calculator

Tips: Enter the total luminous flux in lumens and the beam angle in degrees (default 30°). Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between lumens and candela?
A: Lumens measure total light output, while candela measures light intensity in a specific direction.

Q2: Why does beam angle affect candela?
A: A narrower beam concentrates the same lumens into a smaller area, resulting in higher intensity (candela).

Q3: What's a typical beam angle for calculations?
A: Common angles are 15° (spot), 30° (narrow flood), and 60° (wide flood), but this varies by application.

Q4: How does this relate to lux?
A: Lux measures illuminance (lumens/m²) at a surface, which depends on both candela and distance from the source.

Q5: Can I use this for LED lights?
A: Yes, this calculation works for any light source where you know the total lumens and beam angle.

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