Finding the electric field inside and outside a charged sphere

Question: Gauss's Law 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.

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Answered By:

Kyle W.
BS in Aerospace Engineering, 4 Years Experience Tutoring Physics

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