A Pair of Oppositely Oriented Dipoles ("Quadrupole")

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

The electric field of a quadrupole:

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

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

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

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