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Spherically Symmetric Charge Distribution

  1. Apr 16, 2012 #1
    1. The problem statement, all variables and given/known data

    Consider a spherically symmetric charge distribution [tex] \rho = \rho (r) [/tex]

    2. Relevant equations

    By dividing the charge distribution into spherical shells, find the potential [tex] \phi [/tex] and the electric field strength [tex] \bf{E} [/tex] in terms of [tex] \rho (r) [/tex]

    3. The attempt at a solution

    The given solution is

    [tex] \phi (r) = \frac{4 \pi}{r} \int_0^r \rho (r\prime) {r \prime}^2 dr \prime + 4\pi \int_r^\infty \rho (r\prime ) r \prime dr \prime
    [/tex]
    I just can't understand the separation in two integrals, I think it is not rigorous...by the way the book (Problems in Electrodynamics, Batygin and Toptygin) uses non-SI units.
     
  2. jcsd
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