- #1

Liquidxlax

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## Homework Statement

A solid nonconducting sphere of radius R carries a nonuniform charge distribution, with a charge density ρ = ρ

_{s}r/R, where ρ

_{s}is a constant and r the distance from the centre of the sphere. Show that

i) the total charge on the sphere is

Q= πρ

_{s}R

^{3}

and

ii) the electric field inside the sphere is given by

(kQr

^{2})/R

^{4}

## Homework Equations

Q

_{enc}= integral(dQ) = inetgral(ρdV) = ρintegral(dV) = ρV =

((Q4πr

^{3})/3) / ((4πR

^{3})/3) = Q(r/R)

^{3}

## The Attempt at a Solution

dA = 4πR

^{2}dr

ρdA = 4πρ

_{s}rRdr

integrate r from 0 to R but i have a 2 in front.