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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