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## Homework Statement

The charge desnsity within a uniformly charged sphere of radius R is ρ = ρ

_{0}- ar

^{2}, where ρ

_{0}and a are constants and r is the distance from the center. Find an expression for a such that the electric field outside the sphere is zero.

## Homework Equations

Electric Field outside a sphere

E = KQ/r

^{2}

## The Attempt at a Solution

I'm having trouble setting up this problem, I'm not quite sure where to start. If someone could help me I would very much appreciate it.