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Anonuniform, but spherically symmetric, distribution of charge has a charge density ρ(r) given as follows:
ρ(r)=ρ0(1−r/r) for r≤r
ρ(r)=0 for r≥r
where ρ0=3q/πr3 is a positive constant.
express your answer in terms of some or all of the variables r, r, q, and appropriate constants.
obtain an expression for the electric field in the region r≥r.
obtain an expression for the electric field in the region r≤r.
find the value of r at which the electric field is maximum.
find the value of that maximum field.
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