Newton's Inverse Square Law

 


Any point source which spreads its influence equally in all directions without a limit to its range will obey the inverse square law. This comes from strictly geometrical considerations. The intensity of the influence at any given radius (r) is the source strength divided by the area of the sphere. Being strictly geometric in its origin, the inverse square law applies to diverse phenomena. Point sources of gravitational force, electric field, light, sound, or radiation obey the inverse square law.


As one of the fields which obey the general inverse square law, a point radiation source can be characterized by the diagram above whether you are talking about Roentgens, rads, or rems. All measures of exposure will drop off by the inverse square law. For example, if the radiation exposure is 100 mR/hr at 1 inch from a source, the exposure will be 0.01 mR/hr at 100 inches.


To calculate a new exposure maS ie one at a new distance using the old exposure maS

New mAs = Old mAs x (New distance2/Old distance2)

eg A Chest x-ray at 180 cm and using 5 mAS

What mAS would be needed supine on a trolley at 100cm?

New mAS = 5 [old mAS] x (10000 [New d2] / 32400 [Old d2]

New mAS = 5 x [10000 / 32400] 0.3 = 1.5 mAS



 


 

Useful Link : Ref: http://www.ndt-ed.org