1. The problem statement, all variables and given/known data A sphere with radius R has a spherically symmetric charge density that varies as 1/r. What is the electric field outside and inside the sphere? 2. Relevant equations E=kQ/r^2, ε=permitivity of free space, Q=total charge, ρ=charge density, dτ=infinitesimal volume 3. The attempt at a solution For the case (outside), due to the concept that we can treat the sphere as a point charge, E = (1/4*pi*e)(Q/r^2). For the case (inside), by using a Gaussian surface, we have E (4πr^2) = Q/ε. By evaluating Q = ∫ ρ dτ. I got E = (R^2)/(2εr^2). Is this correct? Or am I missing something?