Inverse square law equation

By John
2 Min Read

What is the Inverse Square Law Formula?
The intensity of the light to an observer from a source is inversely proportional to the square of the distance from the observer to the source. This shows that as the distance from a light source increases, the intensity of light is equal to a value multiplied by 1/d2. Thus closer a light source brighter it is. This is very evident from the fact that in the night when a car approaches us from a distance it looks dark but as it comes near the light the headlights make it be brighter as the distance between the observer and the car has decreased.

Similar concepts are also used in the gravitational law and the electric charge law of the Coulomb’s law. The formula for this is shown below. The inverse square law of intensity is applicable to not only the visible rays in the electromagnetic spectrum but also to all the other spectrums like the gamma rays, X rays, UV rays etc.. The intensity of visible light is measured in candela units, while the intensity of other waves is measured in Watts per meter squared (W/m2).

The Formula:
The law states that the intensity of light from a given source varies inversely with the square of the distance of the source. In short, as the distance increases the intensity of the light from the source decreases. Mathematically, the formula can be written as,

I ∝ (1/d2)

Where the distance is d(metres), the intensity of the radiation is I(candela).

If the distances are d1 and d2 and the intensities are I1 and I2 respectively. Then Inverse-square law is as follows,

I1/I2∝ d22/d21

Inverse square law formula is used in finding distance or intensity of any given radiation. The intensity is calculated in Lumen or candela and distance is given in meters. It has widespread applications in problems grounded on the light.