RPR-20

Personal dose equivalent Hp(10)

Hp(10) = hp_K K. Badge operational quantity, 10 mm under the badge.

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OperationalICRU 51 Hp(10)

Governing equation

H_p(10)=h_{pK}K

$K \in \left[0.1, 500\right]$

where

K: Air kerma at badge (µGy)
h_{pK}: Conversion hp,K (Sv/Gy)
H_p(10): Personal dose equivalent (µSv)

The figure, part by part

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①

Governing law — red

H_p(10)=h_{pK}K

$K \in \left[0.1, 500\right]$

$K = 0.1$ $H_p(10) = 0.112$

Along the curve

②

Domain of the variable — blue

K_{\min} = 0.1,\quad K_{\max} = 500

$K \in \left[0.1, 500\right]$

$K = 0.1$ $K = 0.1$

Along the curve

③

Response curve — green

H_p(10)=h_{pK}K

$K \in \left[0.1, 500\right]$

$K = 0.1$ $H_p(10) = 0.112$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}H_p(10)}{\mathrm{d}K}

$K \in \left[0.1, 500\right]$

$K = 3.244$ $H_p(10)^{\prime} = 1.12$

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-20 — Personal dose equivalent Hp(10)) is the form associated with ICRU 51 Hp(10). Working symbols: $K$ , $h_{pK}$ $\rightarrow$ $H_p(10)$ . Hp(10) estimates effective dose for penetrating photons. Hp(0.07) is the skin/extremity quantity.

Purpose

Purpose: compute

H_p(10)

from

K

h_{pK}

in Radiation protection via

H_p(10)=h_{pK}K

Hp(10) = hp_K K. Badge operational quantity, 10 mm under the badge. 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

K = 8.000\,\mathrm{\mu Gy}

h_{pK} = 1.120\,\mathrm{Sv/Gy}

, the governing relation

H_p(10)=h_{pK}K

yields

H_p(10) = 8.96\,\mathrm{\mu Sv}

. A lapel badge on a slab phantom. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Air kerma at badge K8 µGyConversion hp,K h_{pK}1.12 Sv/Gy

Outputs

Personal dose equivalent H_p(10)8.96 µSv

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Narration of this film

A lapel badge on a slab phantom.

Hp(10) estimates effective dose for penetrating photons. Hp(0.07) is the skin/extremity quantity.

Reading speed

Watch on YouTube