An insulator filled sphere of radius R has an uneven charge density given by the equation p = 5r^2. Find the electric field (r<R) at a point in the sphere using Gauss's law?
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Given charge density, ρ = 5r^2 Charge enclosed by the thin spherical shell = ρ * volume of the shell Volume of the thin spherical shell = 4/3 * π * (r^3 - (r - dr)^3) where dr is the thickness of the shell = 4/3 * π * (3r^2 * dr - 3r * dr^2 + dr^3) = 4πr^2 * Show more…
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