charge distributed over a spherical volume so that the volumetric charge density follows the following two relationships

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Charge Distributed Over A Spherical Volume So That The Volumetric Charge Density Follows The Following Two Relationships 1 (84.34 KiB) Viewed 79 times

charge distributed over a spherical volume so that the volumetric charge density follows the following two relationships: p= po (1-r^2/a^2) when r<a p=0 when rza Since a is the radius of this sphere, calculate: 1- Calculate the total charge of this ball 2- Calculate the electric field strength E and the potential Ø at any point outside the sphere 3- Also calculate E and Ø at any point inside the sphere. 4- Prove that the electric field strength takes its maximum value at point P, which is 0.745a away from the center of the sphere.