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Math Help - find total charge of three concentric spherical conductors

  1. #1
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    find total charge of three concentric spherical conductors

    The potentials of three concentric spherical conductors of radii a,b,c such that a<b<c are held at the values  \phi=0,V, 0.
    Solve the potential problem by assuming  \phi=A+\frac{B}{r} \ \ \ \ and \ \ \ \phi= C+\frac{D}{r} for a<r<b and b<r<c.
    and continuity at r=b.

    Calculate the total charge on the conductor of radius b .
    and capacitance of the system.
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  2. #2
    Super Member Rebesques's Avatar
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    You will need to solve Poisson's equation (formula here) on account of each case r<a (easy), a<r<b, b<r<c, b<r (easy).
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