Two Point Charges of Opposite Sign ("Dipole")

A function to calculate the electric potential energy of a dipole:

[Graphics:multipolegr2.gif][Graphics:multipolegr22.gif]

The electric field of a dipole:

[Graphics:multipolegr2.gif][Graphics:multipolegr23.gif]
[Graphics:multipolegr2.gif][Graphics:multipolegr24.gif]

[Graphics:multipolegr2.gif][Graphics:multipolegr25.gif]

[Graphics:multipolegr2.gif][Graphics:multipolegr26.gif]

The electric potential of a dipole:
(The contours represent factors of 10 difference in energy.)

[Graphics:multipolegr2.gif][Graphics:multipolegr27.gif]
[Graphics:multipolegr2.gif][Graphics:multipolegr28.gif]

[Graphics:multipolegr2.gif][Graphics:multipolegr29.gif]

[Graphics:multipolegr2.gif][Graphics:multipolegr30.gif]

Both the electric field and electric potential of dipole on the same plot:
(Note how the field is always perpendicular to the equipotential lines.)

[Graphics:multipolegr2.gif][Graphics:multipolegr31.gif]

[Graphics:multipolegr2.gif][Graphics:multipolegr32.gif]

[Graphics:multipolegr2.gif][Graphics:multipolegr33.gif]

A 3-D view of the electric potential of a dipole:

[Graphics:multipolegr2.gif][Graphics:multipolegr34.gif]
[Graphics:multipolegr2.gif][Graphics:multipolegr35.gif]

[Graphics:multipolegr2.gif][Graphics:multipolegr36.gif]

[Graphics:multipolegr2.gif][Graphics:multipolegr37.gif]
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