Energy Density of an Electrostatic Dipole

distance d

1

function

potential ϕ( ρ, z, d ) of dipole

electrostatic energy density u( ρ, z, d )

The positive and negative charges are at

(0,0,±d/2)

. The potential

ϕ(ρ,z,d)

of the dipole in cylindrical coordinates

(ρ,φ,z)

does not depend on

φ

because of symmetry. The graphs show the contour plots of the potential or electrostatic energy density

u(ρ,z,d)

in the neighborhood of the charges.