RPR-42

TVL

Tenth-value layer.

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GoverningTVL

Governing equation

TVL=\\ln 10/\\mu

$mu \in \left[0.01, 2\right]$

where

mu: mu (1/cm)
tvl: TVL (cm)

The figure, part by part

Each numbered marker wears the color of its card. Hover a card to light the marker. Tap a marker to jump to that card. The slider walks a red point along the curve; Animate drawing traces it like a pen.

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①

Governing law — red

TVL=\\ln 10/\\mu

$mu \in \left[0.01, 2\right]$

$mu = 0.01$ $tvl = 230.3$

Along the curve

②

Domain of the variable — blue

mu_{\min} = 0.01,\quad mu_{\max} = 2

$mu \in \left[0.01, 2\right]$

$mu = 0.01$ $mu = 0.01$

Along the curve

③

Response curve — green

TVL=\\ln 10/\\mu

$mu \in \left[0.01, 2\right]$

$mu = 0.01$ $tvl = 230.3$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}tvl}{\mathrm{d}mu}

$mu \in \left[0.01, 2\right]$

$mu = 0.023$ $tvl^{\prime} = -6572.9$

Along the curve

Lecture brief

Historical brief

Inverse-square, half-value layer, ICRP weighting and ALARA are the protection craft since the 1920s commissions. The lab computes transmission, equivalent dose and a shielding snapshot. This sheet (RPR-42 — TVL) is the form associated with TVL. Working symbols: $mu$ $\rightarrow$ $tvl$ . Tenth-value layer. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

tvl

from

mu

in Radiation protection via

TVL=\\ln 10/\\mu

Tenth-value layer. Use it when a real radiation protection question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

mu = 0.150\,\mathrm{1/cm}

, the governing relation

TVL=\\ln 10/\\mu

yields

tvl = 15.351\,\mathrm{cm}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

mu mu0.15 1/cm

Outputs

TVL tvl15.351 cm

Reading speed

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Tenth-value layer. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube