Light Intensity Calculator Formula

Understand the math behind the light intensity calculator. Each variable explained with a worked example.

Formulas Used

Intensity

intensity = power / (4 * pi * pow(distance, 2))

Variables

VariableDescriptionDefault
powerLight Source Power(W)100
distanceDistance(m)2

How It Works

Light Intensity (Inverse Square Law)

Light intensity from a point source decreases with the square of the distance.

Formula

I = P / (4 * pi * r²)

where P is the total power output and r is the distance from the source. Doubling the distance reduces intensity by a factor of four.

Worked Example

A 100 W light bulb at 2 meters distance.

power = 100distance = 2
  1. 01I = P / (4*pi*r²)
  2. 02I = 100 / (4*pi*4)
  3. 03I = 100 / 50.27
  4. 04I = 1.989 W/m²

Ready to run the numbers?

Open Light Intensity Calculator