## How to convert watts to lux

How to convert electric power in watts (W) to illuminance in lux (lx).

You can calculate lux from watts, luminous efficacy and surface area.

Watt and lux units represent different quantities, so you can't convert watts to lux.

- Watts to lux calculation with area in square feet
- Watts to lux calculation with area in square meters
## Watts to lux calculation formula

## Watts to lux calculation with area in square feet

The luminous flux

Φ_{V}in lumens (lm) is equal to the power P in watts (W), times the luminous efficacyηin lumens per watt (lm/W):

Φ_{V(lm)}=P_{(W)}×η_{(lm/W)}

The illuminance

E_{v}in lux (lx) is equal to 10.76391 times the luminous fluxΦ_{V}in lumens (lm) divided by the surface areaAin square feet (ft^{2}):

E_{v(lx)}= 10.76391 ×Φ_{V(lm)}/A_{(ft}2_{)}

So the illuminance

E_{v}in lux (lx) is equal to 10.76391 times the power P in watts (W), times the luminous efficacyηin lumens per watt (lm/W) divided by the surface areaAin square feet (ft^{2}):

E_{v(lx)}= 10.76391 ×P_{(W)}×η_{(lm/W)}/A_{(ft}2_{)}So

lux = 10.76391 ×

watts × (lumens per watt) / (square feet)or

lx = 10.76391 ×

W × (lm/W) / ft^{2}## Example

What is the illuminance with power consumption of 60 watts, luminous efficacy of 15 lumens per watt and surface area of 200 square feet?

Φ_{V}= 10.76391 ×60W × 15lm/W / 200ft^{2}= 48.44lx## Watts to lux calculation with area in square meters

The luminous flux

Φ_{V}in lumens (lm) is equal to the power P in watts (W), times the luminous efficacyηin lumens per watt (lm/W):

Φ_{V(lm)}=P_{(W)}×η_{(lm/W)}

The illuminance

E_{v}in lux (lx) is equal to the luminous fluxΦ_{V}in lumens (lm) divided by the surface areaAin square meters (m^{2}):

E_{v(lx)}=Φ_{V(lm)}/A_{(m}2_{)}

So the illuminance

E_{v}in lux (lx) is equal to the power P in watts (W), times the luminous efficacyηin lumens per watt (lm/W) divided by the surface areaAin square meters (m^{2}):

E_{v(lx)}=P_{(W)}×η_{(lm/W)}/A_{(m}2_{)}So

lux = watts × (lumens per watt) / (square meters)

or

lx = W × (lm/W) / m

^{2}## Example

What is the illuminance with power consumption of 60 watts, luminous efficacy of 15 lumens per watt and surface area of 18 square meters?

Φ_{V}= 60W × 15lm/W / 18m^{2}= 50lx## Luminous efficacy table

Light type Typical

luminous efficacy

(lumens/watt)Tungsten incandescent light bulb 12.5-17.5 lm/W Halogen lamp 16-24 lm/W Fluorescent lamp 45-75 lm/W LED lamp 30-90 lm/W Metal halide lamp 75-100 lm/W High pressure sodium vapor lamp 85-150 lm/W Low pressure sodium vapor lamp 100-200 lm/W Mercury vapor lamp 35-65 lm/W Energy saving lamps have high luminous efficacy (more lumens per watt).

## See also