- #1
Liquidxlax
- 322
- 0
Homework Statement
A solid nonconducting sphere of radius R carries a nonuniform charge distribution, with a charge density ρ = ρsr/R, where ρs is a constant and r the distance from the centre of the sphere. Show that
i) the total charge on the sphere is
Q= πρsR3
and
ii) the electric field inside the sphere is given by
(kQr2)/R4
Homework Equations
Qenc = integral(dQ) = inetgral(ρdV) = ρintegral(dV) = ρV =
((Q4πr3)/3) / ((4πR3)/3) = Q(r/R)3
The Attempt at a Solution
dA = 4πR2dr
ρdA = 4πρsrRdr
integrate r from 0 to R but i have a 2 in front.