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Inverse-square Law Calculator

☢ Nuclear & Decay. Use the Inverse-square law formula to find intensity 1, distance 1, intensity 2, distance 2: pick the value you want, type the others, and the answer updates as you go.

I1R12=I2R22I_1 R_1^2 = I_2 R_2^2
Intensity 1100

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Intensity 1no unit
Distance 1m
Intensity 2no unit
Distance 2m

Worked example

Find the intensity 1 when Distance 1 = 1 m, Intensity 2 = 25, Distance 2 = 2 m.

Using I1 R1² = I2 R2²: Intensity 1 = 100.

Frequently asked questions

What is the formula for Inverse-square law?

I1 R1² = I2 R2².

What do the letters stand for, and what units are used?

Intensity 1, Distance 1 in m, Intensity 2, Distance 2 in m.

How do you calculate intensity 1?

Put the values into I1 R1² = I2 R2². For example, with Distance 1 = 1 m, Intensity 2 = 25, Distance 2 = 2 m, intensity 1 = 100.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (intensity 1, distance 1, intensity 2, distance 2) and fill in the others: it rearranges the formula for you.

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