DNA 1240H-2 i. = a. S<R, - Z cot a. n 8)* + £4° } Rese. 1 fe fs (1) = 2[Vi cot a - R,-2 ,cotarns 1 + 5 R)-8,cota-8 2. --——; Velae e rete, S>R,- ro+u, 2 sr arc cos re+5°- (R, “2 cota)? 5 = dr 17-10) ( 7. Using similar procedures, nek? arn ey S + (R,-23 cot a) r2+ 2,? et re+2, S- (R)-z,. cot a) arc cos r°+g2 . (Ry - 2 cot a) or S 2 dar (17-11) 3. Ry - Z cot a“S<«R. Equation 17-9 applies to ail terms in the summation from 1 = 1 to the largest 1 such that S<R cot a. Equation 17-10 applies to all terms in the summation bronhhe smallest i such that S>R, - fy cot Atoten. (2) “Shallow” Geometry Coneider a hollowed-out truncated cone (Fig. 17-10) with outer and inner radii R) and Ro, height 2, interior angle a between each face and base, and a receiver in the plane of the base at a distance S from the axis of the cone. deep case. Let the coordinate system be the same ae in the Then, if the dose-rate ratio N for the solid truncated cone of the deep case is N(Ry, 2, Q, S), - N= N(R), Z, a, S) - N (Roy 2, « - @ S) for the hollow truncated cone. . NEST AVAILAGLE 17-54 (17-12) }