Problem 6. Calculate the amount of electrostatic energy of a uniform sphere of charge in vacuum with radius b and volume
Posted: Fri May 20, 2022 6:58 pm
Problem 6. Calculate the amount of electrostatic energy of a uniform sphere of charge in vacuum with radius b and volume charge density p stored in the following regions: b Hint: use, We € EP du 1 "= { 7 RR P (a) Inside the sphere (6) Outside the sphere (c) Calculate the total electrostatic energy to assemble this uniform sphere, by calculating W. = dw. = ſvdq, where v is an intermediate scalar potential when dq is assembled. (Hint. Discretize the sphere into sum of thin spherical shells of thickness dR, then integrate) (d) Compare the results of (a), (b) and (c) and find the relation between them.