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Intensity and Distance Calculator

〰 Oscillations & waves. Use the Intensity and distance formula to find intensity at r₂, intensity at r₁, distance r₁, distance r₂: 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 at r₂0.25 W/m²

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 at r₂W/m²
Intensity at r₁W/m²
Distance r₁m
Distance r₂m

Worked example

Find the intensity at r₂ when Intensity at r₁ = 1 W/m², Distance r₁ = 1 m, Distance r₂ = 2 m.

Using I1 r1² = I2 r2²: Intensity at r₂ = 0.25 W/m².

Frequently asked questions

What is the formula for Intensity and distance?

I1 r1² = I2 r2².

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

Intensity at r₂ in W/m², Intensity at r₁ in W/m², Distance r₁ in m, Distance r₂ in m.

How do you calculate intensity at r₂?

Put the values into I1 r1² = I2 r2². For example, with Intensity at r₁ = 1 W/m², Distance r₁ = 1 m, Distance r₂ = 2 m, intensity at r₂ = 0.25 W/m².

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (intensity at r₂, intensity at r₁, distance r₁, distance r₂) and fill in the others: it rearranges the formula for you.

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