Starting from the equations for a dipole oriented along z, show that the field

[blueyellow]

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]

 

[aim1732]

Are you so sure about the grad part?And by the way are you familiar with multipole expansion?