Lux (lx) is the SI unit of illuminance, which measures the amount of light that falls on a surface. Watt (W) is the SI unit of power, which measures the rate at which energy is transferred.

The formula for converting lux to watts is:

\[P = \frac{E \times A}{\eta}\]Where:

- \(P\) = Power (watts)
- \(E\) = Illuminance (lux)
- \(A\) = Area (m²)
- \(\eta\) = Luminous efficacy (lm/W)

- Identify the illuminance in lux (E), the surface area in square meters (A), and the luminous efficacy of the light source in lumens per watt (η).
- Multiply the illuminance by the area: \(E \times A\)
- Divide the result by the luminous efficacy: \(\frac{E \times A}{\eta}\)
- The result is the power in watts (P).

Let's calculate the power required for a light source to produce 500 lux over an area of 20 m² with an LED lamp (efficacy of 100 lm/W):

- \(E = 500 \text{ lx}\), \(A = 20 \text{ m}^2\), \(\eta = 100 \text{ lm/W}\)
- \[\begin{align} P &= \frac{500 \times 20}{100} \\ &= \frac{10000}{100} \\ &= 100 \text{ watts} \end{align}\]

This diagram illustrates how a 100-watt LED light source produces an illuminance of 500 lux over an area of 20 m². The yellow circle represents the light source, and the triangle shows the spread of light over the given area.

We can create a free, personalized calculator just for you!

Contact us and let's bring your idea to life.

Category
Loan
Tax
Interest
Investment
Profit & Loss
Credit and Debt Planning
Algebra
Statistics
Matrix
Number
Plane Geometry
Solid Geometry
Trigonometry
Construction
Analytic Geometry
Math graphing
Color Converter
Numeral system
Unit
Energy
Temperature
Power
Frequency
Charge
Voltage
Lighting
Classic Physic
Electronic
Engineering
Chemistry
Electrical
Date
Time
Commemorative days
Observance days
Health and medicine
Family and Fun
Weather
Webmaster tools