Physica

04 Protection

Stay time

Maximum time to reach a dose limit at a known rate.

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Simulation

Stay time — Change the numbers; the scene follows.

Where it works

Treatment vault

Treatment vault

Maze

Along the maze — stay time and inverse-square from the last scatter to the exit.

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Formula

t=DlimD˙t = \frac{D_{\lim}}{\dot{D}}

Variables

Results

  • t

    Stay time

    0.2h

  • t

    Stay time

    12min

Explanation

t=DlimD˙t = \frac{D_{\lim}}{\dot{D}}

What it means

Stay time is dose limit divided by the ambient rate: t = D_lim / Ḋ. It is the clock you give a worker (or a visitor) in a known field, before other controls. This is a working relation in Radiation protection.

Where it is used

Clinically it sits on the Treatment vault — Maze. Along the maze — stay time and inverse-square from the last scatter to the exit. Protection equations are the wall, the occupancy factor, and the badge: time, distance, shielding, and WUT. They turn a room into a legal design.

Treatment vault · Open this machine

How to use it

Public design goal 0.02 mSv/week vs a 0.1 mSv/h field → 0.2 h. Occupational investigation levels are higher. Always add contingency; instruments have uncertainty. Change one input and watch the curve and the simulation follow.

Symbols

  • D_limDose limit0.02 mSv
  • Dose rate0.1 mSv/h

Worked example

A typical case from the default values: D_lim = 0.02 mSv (Dose limit); Ḋ = 0.1 mSv/h (Dose rate). Substituting into the relation gives t = 0.2 h; t = 12 min. These are teaching numbers — align them with your machine.

Typical values give

  • t = 0.2h
  • t = 12min

Where it comes from

The displayed formula is the working relation. Maximum time to reach a dose limit at a known rate. Usual reference: Health physics practice. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: Health physics practice

Assumptions & limits

Constant dose rate, no self-shielding as the source is approached, no extremity vs whole-body distinction. Hp(10) vs Hp(0.07) may differ for beta fields.

Pitfalls

Tenth-value layers are for the broad beam in that material and that energy — not a photocopy from another bunker. Occupancy T is not a guess; it is a use pattern. Inverse-square fails against a large scatter source. Constant dose rate, no self-shielding as the source is approached, no extremity vs whole-body distinction. Hp(10) vs Hp(0.07) may differ for beta fields.

Keep this

Time, distance, shielding — in that order — then calculate the wall. Constant dose rate, no self-shielding as the source is approached, no extremity vs whole-body distinction. Hp(10) vs Hp(0.07) may differ for beta fields.

In this specialty

Radiation protection