Enter the power in watts, luminous efficacy in lumens per watt, surface area in square feet / meters or spherical radius in feet / meters and press the Calculate button to get the illuminance in lux:
* the predefined luminous efficacy values are typical / average values.
Watts to lux calculation formula
Watts to lux calculation with area in square feet
The illuminance Ev in lux (lx) is equal to 10.76391 times the power P in watts (W), times the luminous efficacy η in lumens per watt (lm/W) divided by the surface area A in square feet (ft2):
Ev(lx) = 10.76391 × P(W) × η(lm/W) / A(ft2)
Watts to lux calculation with area in square meters
The illuminance Ev in lux (lx) is equal to the power P in watts (W), times the luminous efficacy η in lumens per watt (lm/W) divided by the surface area A in square meters (m2):
Ev(lx) = P(W) × η(lm/W) / A(m2)
The lux (symbol: lx) is the SI derived unit of illuminance, measuring luminous flux per unit area. It is equal to one lumen per square metre. In photometry, this is used as a measure of the intensity, as perceived by the human eye, of light that hits or passes through a surface. It is analogous to the radiometric unit watt per square metre, but with the power at each wavelength weighted according to the luminosity function, a standardized model of human visual brightness perception. In English, "lux" is used as both the singular and plural form.
The word is derived from the Latin word for "light", lux.
Illuminance is a measure of how much luminous flux is spread over a given area. One can think of luminous flux (measured in lumens) as a measure of the total "amount" of visible light present, and the illuminance as a measure of the intensity of illumination on a surface. A given amount of light will illuminate a surface more dimly if it is spread over a larger area, so illuminance is inversely proportional to area when the luminous flux is held constant.
One lux is equal to one lumen per square metre:
1 lx = 1 lm/m2 = 1 cd · sr / m2.
A flux of 1000 lumens, spread uniformly over an area of 1 square metre, lights up that square metre with an illuminance of 1000 lux. However, the same 1000 lumens spread out over 10 square metres produces a dimmer illuminance of only 100 lux.
Achieving an illuminance of 500 lux might be possible in a home kitchen with a single fluorescent light fixture with an output of 12000 lumens. To light a factory floor with dozens of times the area of the kitchen would require dozens of such fixtures. Thus, lighting a larger area to the same level of lux requires a greater number of lumens.
As with other SI units, SI prefixes can be used, for example a kilolux (klx) is 1000 lux.
Watt is the unit of power (symbol: W).
The watt unit is named after James Watt, the inventor of the steam engine.
One watt is defined as the energy consumption rate of one joule per second.
1W = 1J / 1s
One watt is also defined as the current flow of one ampere with voltage of one volt.
1W = 1V × 1A
SI Derived Units, National Institute of Standards and Technology.
"Lux". Lighting / Radiation, quantities and units. International Electrotechnical Commission. 1987. Retrieved 30 November2019.
NIST Guide to SI Units. Chapter 9 – Rules and Style Conventions for Spelling Unit Names, National Institute of Standards and Technology.
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