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

The formula for converting candela to lux is:

\[E = \frac{I}{d^2}\]Where:

- \(E\) = Illuminance (lux)
- \(I\) = Luminous intensity (candela)
- \(d\) = Distance from the light source (meters)

- Identify the luminous intensity in candela (I) and the distance from the light source (d).
- Ensure the distance is in meters. If it's in feet, multiply by 0.3048 to convert to meters.
- Square the distance (d²).
- Divide the luminous intensity by the squared distance (I / d²).
- The result is the illuminance in lux (E).

Let's calculate the illuminance for a light source with 1000 candela at a distance of 2 meters:

- \(I = 1000 \text{ cd}\), \(d = 2 \text{ m}\)
- \(d^2 = 2^2 = 4 \text{ m}^2\)
- \(E = \frac{1000}{4} = 250 \text{ lux}\)

This diagram illustrates how a 1000 candela light source creates an illuminance of 250 lux at a distance of 2 meters. The yellow point represents the light source, and the gradient shows how the light intensity decreases with distance.

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