Lux to Candela Calculator

What is Lux and Candela?

Lux (lx) is the SI unit of illuminance, which measures the amount of light that falls on a surface. Candela (cd) is the SI base unit of luminous intensity, which measures the amount of light emitted by a source in a particular direction.

The Lux to Candela Formula

The formula for converting lux to candela is:

\[I = E \times d^2\]

Where:

• \(I\) = Luminous intensity (candela)
• \(E\) = Illuminance (lux)
• \(d\) = Distance (meters)

Step-by-Step Lux to Candela Calculation

1. Identify the illuminance in lux (E) and the distance in meters (d).
2. If the distance is given in feet, convert it to meters by multiplying by 0.3048.
3. Apply the formula: \(I = E \times d^2\).
4. The result is the luminous intensity in candela (I).

Example Calculation

Let's calculate the luminous intensity for an illuminance of 500 lux at a distance of 2 meters:

1. \(E = 500 \text{ lx}\), \(d = 2 \text{ m}\)
2. \[\begin{align} I &= 500 \times 2^2 \\ &= 500 \times 4 \\ &= 2000 \text{ candela} \end{align}\]

Visual Representation

This diagram illustrates how a light source with 2000 candela luminous intensity produces an illuminance of 500 lux at a distance of 2 meters. The yellow circle represents the light source, and the gray rectangle represents the illuminated surface.