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Homework Help: Flux Calculation

  1. Sep 20, 2007 #1
    Hi everyone,
    I have a simple problem for you. If we have an isotropic particle density n(r,E) where r is the radius and E the energy in a sphere of radius R, What would be the particle flux over a single side of a detector of area A inside the sphere?
    What would it be also if the detector's acceptance would be D?
    The first aproach i have tried is that the flux should be around n*V/4pi where n is the particle density and v the mean velocity of the particles and 4pi the total solid angle.The flux over one side of the detector should be 1/2 of the total flux as it is isotropic.
    In the case of the acceptance of the detector, simply multiplying the total flux n*v/4pi by the acceptance would be the flux over the detector´s surface.
    Thanx and regards.
     
    Last edited: Sep 20, 2007
  2. jcsd
  3. Sep 24, 2007 #2
    I have tried the following course; if the surface detector is squared shape with Area equal to A ,then, integrating over the solid angle from the surface of the detector to a random point of an arbitrary surface concentric and coaxial with the detector(lets say a cube), we have that the acceptance will be pi*A.(The result of integrating the product of the differential area of the surface and the solid angle ).
    With this, the flux in the detector would be the total flux,ie n*v/4pi multiplied by pi*A.
    I'm not sure if this approach is correct, so any suggestion will be welcome.
    Thanks in advanced
     
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