Physics

Attenuation Calculator

Find transmitted intensity after passing through a material.

Initial intensity

Attenuation coefficient (1/m)

Thickness

Calculated Output

Transmitted intensity 36.788

Transmitted fraction (%) 36.788

Formula: I = I₀·e^(−μ·x)

Step-by-Step Breakdown

1. Values used:

2. Initial intensity = 100

3. Attenuation coefficient = 0.5 1/m

4. Thickness = 2

6. Transmitted intensity = 36.788

7. Transmitted fraction = 36.788%

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The math behind it

I = I₀·e^(−μ·x), the Beer–Lambert law, where μ is the attenuation coefficient.

μ = 0.5/m through 2 m → about 37% transmitted.

What is the half-value layer?

The thickness that halves intensity: ln(2)/μ.