# Homework Help: Finding E and B field of a weird charge distribution

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1. Jan 13, 2017

### asdff529

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. Jan 13, 2017