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## Homework Statement

Starting from the equations for a dipole oriented along z, show that the field of a perfect dipole can be written as:

**E**=[1/(4pi epsilon0 r^3)] [3(

**p**.

**r-hat**)

**r-hat**-

**p**]

## The Attempt at a Solution

V(r)= (p.r-hat)/(4pi epsilon0 r^2)

E=-grad V

=-[3p. r-hat]/[4 pi epsilon0 r^3]