Question

3.) [50 pts] Consider a solid sphere (with radius R) of nonconducting material having a (volume) charge density ρ-ar', where α is a constant (having appropriate units). a.) [10 pts] Provide an expression for the total charge contained in the sphere. b.) [5 pts] Provide an expression for the electric field, Eout, at some position r (relative to the origin at the center of the sphere) located outside the sphere 15pts] Provide an expression for the electric field, Ein, at some position r (relative to the origin at the center of the sphere) located inside the sphere. c.) d.) [20pts Provide an expression for the electric potential, Vin, at some position r (relative to the center of the sphere) located inside the sphere. (Assume the electric potential infinitely far from the sphere is zero, and use that as your reference point.)

Answer 1