Hw assignment VI: Due Nov 25  8 points 

Note: Submit solutions as a Mathematica notebook (no handwritten work will be accepted !). No late submissions.

(a) Show that the L=1 terms in Eq.4.2 can be re-written as

(1/(4π (Subscript[ϵ, 0])))  (((OverVector[p]).(OverVector[r]))/(r^3))     where p = ∫(OverVector[x]) ρ((OverVector[x]))dV


(b) In a region where the electric field does not vary much so that we can replace (OverVector[E]) with a constant, (Subscript[(OverVector[E]), 0])
show that we can express

Φ ≈ (Subscript[Φ, 0])  - (OverVector[r]) . (Subscript[(OverVector[E]), 0])