Lux to Lumen Calculator

What is Lux and Lumen?

Lux (lx) is the SI unit of illuminance, which measures the amount of light that falls on a surface. Lumen (lm) is the SI unit of luminous flux, which measures the total amount of light emitted by a source in all directions.

The Lux to Lumen Formula

The formula for converting lux to lumen is:

\[\Phi = E \times A\]

Where:

• \(\Phi\) = Luminous flux (lumens)
• \(E\) = Illuminance (lux)
• \(A\) = Area (square meters)

Step-by-Step Lux to Lumen Calculation

1. Identify the illuminance in lux (E) and the area in square meters (A).
2. If the area is given in square feet, convert it to square meters by multiplying by 0.092903.
3. Apply the formula: \(\Phi = E \times A\)
4. The result is the luminous flux in lumens (\(\Phi\)).

Example Calculation

Let's calculate the luminous flux for an illuminance of 500 lux over an area of 12.57 square meters:

1. \(E = 500 \text{ lx}\), \(A = 12.57 \text{ m}^2\)
2. \[\begin{align} \Phi &= E \times A \\ &= 500 \text{ lx} \times 12.57 \text{ m}^2 \\ &= 6285 \text{ lumens} \end{align}\]

Visual Representation

This diagram illustrates how an illuminance of 500 lux over an area of 12.57 square meters produces a luminous flux of 6285 lumens. The yellow circle represents the illuminated area, with the lux value shown at the center.