- #1

Andrew11

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## Homework Statement

Find the potential V(r) inside and outside of a uniformly charged sphere with radius R and total charge q.

A) Fix first the charge density ρ(r) in the two regions 1: r>R and 2: 0<r<R the results should only be in terms of q and R[/B]

## Homework Equations

ρ= qtot/Vtot

dq= ρ*Venc

## The Attempt at a Solution

ρ= qtot/(4/3)piR^3

dq = [(qtot/(4/3)piR^3)*(4/3)pir^3]dr⇒(q*r^3/R^3)

∫dq = ∫q*(r^3/R^3)dr⇒ q*(¼r^4/R^3)

not sure if this is the correct approach to the problem