1. The problem statement, all variables and given/known data Show that the electric field E outside a spherical shell of uniform charge density ρs is the same as due to the total charge on the shell located at the centre. 2. Relevant equations Using only Coulomb's Law E=Q/4πε0 ar 3. The attempt at a solution If i assumed it as circular disc, ρ will increase indefinitely as radius decreases. Many examples shown proof using Gauss's Law but this is a question from first chapter on Coulomb Forces and Electric Field Intensity.