cbritta
Jan25-11, 04:30 PM
1. The problem statement, all variables and given/known data
The point P is located at the origin of a spherical-surface radiation source. The diameter of the sphere is 30 cm, and the source intensity is uniformly 105 particles cm-2 sec-1 over the entire spherical surface. (a) Calculate the fluence rate(particles cm-2 sec-1) at P. (b) Calculate the average fluence rate over the entire sphere.
2. Relevant equations
Fluence Rate of an isotropic point source:Φ= S/4πr2
3. The attempt at a solution
For part a, I attempted to treat the entire spherical surface as a collection of point charges and integrate across this surface. I set up an integral from 0 to (4πr)^2, integrating the above equation for fluence rate of a point source Φ= S/4πr2. The radius is a constant 30 cm and can be pulled out along with the rest of the fluence equation. After integrating I am getting S alone as the answer. The units are correct for the answer I am just not sure if I am going about this the right way. Furthermore, I have no idea about how to tackle part b without knowledge of part a.
The point P is located at the origin of a spherical-surface radiation source. The diameter of the sphere is 30 cm, and the source intensity is uniformly 105 particles cm-2 sec-1 over the entire spherical surface. (a) Calculate the fluence rate(particles cm-2 sec-1) at P. (b) Calculate the average fluence rate over the entire sphere.
2. Relevant equations
Fluence Rate of an isotropic point source:Φ= S/4πr2
3. The attempt at a solution
For part a, I attempted to treat the entire spherical surface as a collection of point charges and integrate across this surface. I set up an integral from 0 to (4πr)^2, integrating the above equation for fluence rate of a point source Φ= S/4πr2. The radius is a constant 30 cm and can be pulled out along with the rest of the fluence equation. After integrating I am getting S alone as the answer. The units are correct for the answer I am just not sure if I am going about this the right way. Furthermore, I have no idea about how to tackle part b without knowledge of part a.