Gauss's Law Question

Question

A sphere with R radius has ρ (r)=ρ0 (1 − r/2R) volumetric charge density. (ρ0 is a positive constant).

a)      Obtain the expression of electric field at a point in the sphere (r <R) in terms of ρ0, Є0, R and r.

b)     Obtain the expression of electric field at a point outside the sphere (r <R) in terms of ρ0, Є0, R and r.

c)      Write the equations in a and b again for a point (r = R) on the surface of the sphere. Interpret it.

d)     If the total load of the sphere is Q, find the constant ρ0 in terms of Q and R.

Answer 1