Question

Find the electric field inside a sphere which carries a charge density

Answer 1

Find the electric field inside a sphere that carries a charge density proportional to the distance from the origin, ρ = kr, for some constant k. [Hint: This charge density is notuniform, and you must integrate to get the enclosed charge.]

Step 1 of 4

Gauss law of electrostatics states that the electric flux through a Gaussian surface is equal to  times of total charge enclosed.



Here,  is the enclosed charge and  is the permittivity.