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Finding E and B field of a weird charge distribution

  1. Jan 13, 2017 #1
    1. The problem statement, all variables and given/known data
    Initially there is a spherical charge distribution of with a radius ##R_0## and uniform charge density ##ρ_0##. Suppose the distribution expands spherically symmetrically such that its radius at time t is ##R_0 + V t##, where V is the velocity. Assuming the density remain uniform inside the sphere as time increases, find the charge density and current density,E-field and B-field

    2. Relevant equations
    4 maxwell equations and continuity equation

    3. The attempt at a solution
    I have computed ##ρ## and ##J##, so does E. I want to know if ##J=ρV## in r direction.Then I find that curl of E=0, which means B is independent of time, which is strange. And I find it very complicated to solve the Ampere's Law with Maxwell Correction.
    Any hints? Thank you
     
  2. jcsd
  3. Jan 13, 2017 #2

    phyzguy

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