Electrodynamics: Finding the Charge Density

Learn to find charge density from electric field using Gauss's law in this electrodynamics tutorial. Work through Griffiths textbook problem 2.9, which presents an electric field E = kr³ in spherical coordinates and requires calculating both the charge density ρ and the total charge contained within a sphere of radius R. Apply fundamental electrostatics principles and mathematical techniques to solve this classic physics problem step-by-step, developing skills in vector calculus and electromagnetic field theory essential for advanced physics studies.