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Electromotive Force problem dealing with spherical shells

  1. Jan 16, 2009 #1
    1. The problem statement, all variables and given/known data

    To concentric metal spherical shells , of radius a and b , respectively , are separated by weakly conducting material of conducting sigma

    a) If they are maintained at a potential difference V, what current flows from one to the other?



    2. Relevant equations
    V=-[tex]\int[/tex]E *dl
    V=IR


    3. The attempt at a solution

    E(from a to b)=Q/(4[tex]\pi[/tex][tex]\epsilon[/tex]r^2)==> V(from a to b)= Q/(4[tex]\pi[/tex][tex]\epsilon[/tex]r

    E(from b to infinity)= Q/(4[tex]\pi[/tex][tex]\epsilon[/tex]0r^2)==> V(from b to infinity)= Q/(4[tex]\pi[/tex][tex]\epsilon[/tex]0r

    I=V/R=(Q/((4[tex]\pi[/tex][tex]\epsilon[/tex]R))*(1/b - 1/a) )+(Q/((4[tex]\pi[/tex][tex]\epsilon[/tex]0R)*(1/b-1/a)
     
  2. jcsd
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