A solid sphere of radius a, centered at the origin, carries a volume charge density of p(r) = ar², where a is a constant (see Fig. 2 below). a. Calculate the electric field inside and outside of the sphere. (NOTE: For a spherically symmetric system, dV = r² sin(e) de dødr. Therefore, the volume integral of some function p(x) is given by fp(r)r² sin(e) de dødr = 4n fp(r)r² dr) b. Plot the resulting electric field as a function of distance r from the origin.

A solid sphere of radius a, centered at the origin, carries a volume charge density of p(r) = ar², where a is a constant (see Fig. 2 below). a. Calculate the electric field inside and outside of the sphere. (NOTE: For a spherically symmetric system, dV = r² sin(e) de dødr. Therefore, the volume integral of some function p(x) is given by fp(r)r² sin(e) de dødr = 4n fp(r)r² dr) b. Plot the resulting electric field as a function of distance r from the origin.