If is a real constant, the continuity equation is satisfied by the charge and current distributions.

If α is a real constant, the continuity equation is satisfied by the charge and current distributions. The given j represents current flowing in toward the origin of coordinates. But the given ρ is translationally invariant, i.e., it does not distinguish any origin of coordinates. Resolve this apparent conflict.

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p(r, t) = at α j(r, t) = - = r. 3