A charge −Q is located at x=−l/2 and a charge +Q is located at x=l/2. Thus the separation between the two charges is l.

Question

(b)What is E(x) as a function of x for x>l/2? Express your answer in terms of, if necessary, Q, l, x and the constant ϵ0 (if needed, enter pi for π, epsilon_0 for ϵ0).

(c) Consider now the limit where x≫l, so that

d)Express, in this limit, E(x) in terms of, if necessary, p, x and ϵ0. The quantity p=Ql is called the dipole moment.