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Resistance of a holow sphere

  1. Sep 21, 2009 #1
    1. The problem statement, all variables and given/known data
    Determine a formula for the total resistance of a spherical shell made of material whose conductivity is [tex]\sigma[/tex] and whose inner and outer radii are r1 and r2. Assume the current flows radially outward.


    2. Relevant equations
    [tex]\sigma[/tex] = 1/[tex]\rho[/tex]

    R = ([tex]\rho[/tex]*l)/A


    3. The attempt at a solutionSince the current is moving outward, l (length) is going to be the difference of the radii. How do I account for the changing surface area?

    The solution is (r1 - r2)/(4[tex]\pi[/tex]*[tex]\sigma[/tex]*r1*r2)

    EDIT: *facepalm* I spelled hollow wrong...
     
  2. jcsd
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