Find the electric field in a charge free region if it is pointing along the z-direction repeat this for a region having a charge density.
E=kQr3rE=\frac{kQ}{r^3}{r}E=r3kQr
r=rk^r=r\hat{k}r=rk^
Charge density
ρ=QA\rho=\frac{Q}{A}ρ=AQ
Q=ρAQ=\rho AQ=ρA
Now electric field
E=kρAr3rk^E=\frac{k\rho A}{r^3}r\hat{k}E=r3kρArk^
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