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 formula for converting lux to candela is:

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

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

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

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

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

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.

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